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All questions of Coordinate Geometry for Class 9 Exam
The point (–2, –3) belongs to Quadrant :- a)Q1
- b)Q2
- c)Q3
- d)Q4
Correct answer is option 'C'. Can you explain this answer?
The point (–2, –3) belongs to Quadrant :
a)
Q1
b)
Q2
c)
Q3
d)
Q4
|
Zachary Foster answered |
The point (-2, -3) is located in the third quadrant. This is because both the x coordinate and the y coordinate are negative, which are the characteristics of points in Quadrant III.
The correct answer is: C: Q3
The correct answer is: C: Q3
A point of the form (0, b) lies on
- a)x- axis
- b)quadrant III
- c)quadrant I
- d)y- axis
Correct answer is option 'D'. Can you explain this answer?
A point of the form (0, b) lies on
a)
x- axis
b)
quadrant III
c)
quadrant I
d)
y- axis
|
Rati Joshi answered |
Explanation:
The point (0, b) is a point in the coordinate plane, where the first coordinate (x-coordinate) is 0, and the second coordinate (y-coordinate) is b.
To determine on which axis or quadrant this point lies, we need to examine the values of the coordinates:
- The x-coordinate is 0, which means the point lies on the y-axis.
- The y-coordinate is b, which means the point is at a distance of b units from the origin, in the positive y-direction (since b is positive).
Therefore, the point (0, b) lies on the y-axis.
Option D, which says "y-axis", is the correct answer.
The point (0, b) is a point in the coordinate plane, where the first coordinate (x-coordinate) is 0, and the second coordinate (y-coordinate) is b.
To determine on which axis or quadrant this point lies, we need to examine the values of the coordinates:
- The x-coordinate is 0, which means the point lies on the y-axis.
- The y-coordinate is b, which means the point is at a distance of b units from the origin, in the positive y-direction (since b is positive).
Therefore, the point (0, b) lies on the y-axis.
Option D, which says "y-axis", is the correct answer.
If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ……..
- a)(x, 0)
- b)(y, x)
- c)(x, y)
- d)(0, y)
Correct answer is option 'B'. Can you explain this answer?
If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ……..
a)
(x, 0)
b)
(y, x)
c)
(x, y)
d)
(0, y)
|
|
Zachary Foster answered |
The correct answer is B: (y, x).
- The abscissa of a point is the x-coordinate.
- The ordinate of a point is the y-coordinate.
- Therefore, if the abscissa of a point is y and the ordinate is x, the coordinates of the point will be (y, x).
- The abscissa of a point is the x-coordinate.
- The ordinate of a point is the y-coordinate.
- Therefore, if the abscissa of a point is y and the ordinate is x, the coordinates of the point will be (y, x).
The point (–3, 2) belongs to Quadrant _______________ :- a)Q1
- b)Q2
- c)Q3
- d)Q4
Correct answer is option 'B'. Can you explain this answer?
The point (–3, 2) belongs to Quadrant _______________ :
a)
Q1
b)
Q2
c)
Q3
d)
Q4
|
Tanvi Shah answered |
Sorry, but I can't generate a response without more information. Could you please provide the missing details?
The point A(3, 4) lies in
- a)II Quadrant
- b)I Quadrant
- c)IV Quadrant
- d)III Quadrant
Correct answer is option 'B'. Can you explain this answer?
The point A(3, 4) lies in
a)
II Quadrant
b)
I Quadrant
c)
IV Quadrant
d)
III Quadrant
|
|
Aradhiya Gupta answered |
A(3, 4) are found in I quadrant because both the cordinates are positive
If x = y then (x, y) = (y, x)- a)The above statement is TRUE
- b)The above statement is TRUE if x < y
- c)The above statement is FALSE
- d)The above statement is TRUE if x ≠ y
Correct answer is option 'A'. Can you explain this answer?
If x = y then (x, y) = (y, x)
a)
The above statement is TRUE
b)
The above statement is TRUE if x < y
c)
The above statement is FALSE
d)
The above statement is TRUE if x ≠ y
|
Palak Mukherjee answered |
Explanation:
The statement "If x = y then (x, y) = (y, x)" is a mathematical statement that involves the relationship between two variables, x and y. Let's break down the statement and see why option A is the correct answer.
If x = y:
If x and y are equal, then we can substitute y for x or x for y in any equation involving x and y.
(x, y) = (y, x):
This statement means that the ordered pair (x, y) is equal to the ordered pair (y, x). In other words, the order of the values in the ordered pair does not matter.
Therefore, if x = y, then (x, y) = (y, x). This is because the values in the ordered pair are the same, regardless of which value is listed first.
For example, if x = 3 and y = 3, then (x, y) = (3, 3) and (y, x) = (3, 3). Both ordered pairs are equal, so the statement is true.
Conclusion:
Therefore, option A is the correct answer because the statement "If x = y then (x, y) = (y, x)" is true regardless of the values of x and y as long as x and y are equal.
The statement "If x = y then (x, y) = (y, x)" is a mathematical statement that involves the relationship between two variables, x and y. Let's break down the statement and see why option A is the correct answer.
If x = y:
If x and y are equal, then we can substitute y for x or x for y in any equation involving x and y.
(x, y) = (y, x):
This statement means that the ordered pair (x, y) is equal to the ordered pair (y, x). In other words, the order of the values in the ordered pair does not matter.
Therefore, if x = y, then (x, y) = (y, x). This is because the values in the ordered pair are the same, regardless of which value is listed first.
For example, if x = 3 and y = 3, then (x, y) = (3, 3) and (y, x) = (3, 3). Both ordered pairs are equal, so the statement is true.
Conclusion:
Therefore, option A is the correct answer because the statement "If x = y then (x, y) = (y, x)" is true regardless of the values of x and y as long as x and y are equal.
The abscissa or x-coordinate of any point on Y-axis is:
- a)Three
- b)Two
- c)One
- d)Zero
Correct answer is option 'D'. Can you explain this answer?
The abscissa or x-coordinate of any point on Y-axis is:
a)
Three
b)
Two
c)
One
d)
Zero
|
|
Anirudh Singh answered |
Explanation:
The Y-axis is the vertical line on a Cartesian plane. It is perpendicular to the X-axis, which is the horizontal line on the same plane. Any point on the Y-axis has an x-coordinate of zero because it lies directly on the Y-axis, which is a line passing through the origin of the plane. Here are some more details:
• Definition of abscissa: The abscissa is the x-coordinate of a point on a Cartesian plane. It is measured from the vertical Y-axis to the point in question.
• Understanding the Y-axis: The Y-axis is a vertical line that runs through the origin of the plane. It consists of all points with an x-coordinate of zero.
• Relationship between the X and Y axes: The X and Y axes intersect at the origin of the plane, which has coordinates (0,0). Any point on the X-axis has a y-coordinate of zero, and any point on the Y-axis has an x-coordinate of zero.
• Importance of the origin: The origin of the plane is the starting point for measuring coordinates. It is where the X and Y axes intersect, and it has coordinates (0,0). All other points on the plane can be located relative to the origin.
• Conclusion: The abscissa or x-coordinate of any point on the Y-axis is zero because the Y-axis consists of all points with an x-coordinate of zero.
The Y-axis is the vertical line on a Cartesian plane. It is perpendicular to the X-axis, which is the horizontal line on the same plane. Any point on the Y-axis has an x-coordinate of zero because it lies directly on the Y-axis, which is a line passing through the origin of the plane. Here are some more details:
• Definition of abscissa: The abscissa is the x-coordinate of a point on a Cartesian plane. It is measured from the vertical Y-axis to the point in question.
• Understanding the Y-axis: The Y-axis is a vertical line that runs through the origin of the plane. It consists of all points with an x-coordinate of zero.
• Relationship between the X and Y axes: The X and Y axes intersect at the origin of the plane, which has coordinates (0,0). Any point on the X-axis has a y-coordinate of zero, and any point on the Y-axis has an x-coordinate of zero.
• Importance of the origin: The origin of the plane is the starting point for measuring coordinates. It is where the X and Y axes intersect, and it has coordinates (0,0). All other points on the plane can be located relative to the origin.
• Conclusion: The abscissa or x-coordinate of any point on the Y-axis is zero because the Y-axis consists of all points with an x-coordinate of zero.
For a line whose equation is 2x + y = 5, which one of the following points lies on it ?- a)(3, 2)
- b)(1, 2)
- c)(2, 1)
- d)(-2, 1)
Correct answer is 'C'. Can you explain this answer?
For a line whose equation is 2x + y = 5, which one of the following points lies on it ?
a)
(3, 2)
b)
(1, 2)
c)
(2, 1)
d)
(-2, 1)
|
Kanayalal Parchwani answered |
Suppose x value is 2 and y value is 1 so 2(2)+1=5
Abscissa of all points on the y-axis is- a)1
- b)any number
- c)0
- d)-1
Correct answer is option 'C'. Can you explain this answer?
Abscissa of all points on the y-axis is
a)
1
b)
any number
c)
0
d)
-1
|
|
Sofiya Khan answered |
Yes, because when abscissa or coordinate of x - axis is 0 the point lies on y - axis.
therefore, the correct answer is option c.
therefore, the correct answer is option c.
The point (3, 2) belongs to quadrant _______________ :- a)Q1
- b)Q2
- c)Q3
- d)Q4
Correct answer is option 'A'. Can you explain this answer?
The point (3, 2) belongs to quadrant _______________ :
a)
Q1
b)
Q2
c)
Q3
d)
Q4
|
|
Isha Nair answered |
Explanation:
Quadrants are the four regions in a coordinate plane which are separated by the x-axis and y-axis. These quadrants are numbered from 1 to 4 in a counterclockwise direction. Let's understand how to identify the quadrant in which a point lies:
- Quadrant 1 (Q1): This quadrant is on the right side of the y-axis and above the x-axis. The values of x and y are both positive in this quadrant. So, any point lying in this quadrant has positive values for both x and y coordinates.
- Quadrant 2 (Q2): This quadrant is on the left side of the y-axis and above the x-axis. The value of x is negative and the value of y is positive in this quadrant. So, any point lying in this quadrant has negative x-coordinate and positive y-coordinate.
- Quadrant 3 (Q3): This quadrant is on the left side of the y-axis and below the x-axis. The values of both x and y are negative in this quadrant. So, any point lying in this quadrant has negative values for both x and y coordinates.
- Quadrant 4 (Q4): This quadrant is on the right side of the y-axis and below the x-axis. The value of x is positive and the value of y is negative in this quadrant. So, any point lying in this quadrant has positive x-coordinate and negative y-coordinate.
Now, let's identify in which quadrant the point (3, 2) lies:
- The x-coordinate of the point is 3 which is positive.
- The y-coordinate of the point is 2 which is also positive.
Since both the x and y-coordinates of the point are positive, it lies in the Quadrant 1 (Q1).
Therefore, the correct answer is option 'A' which says that the point (3, 2) belongs to quadrant Q1.
Quadrants are the four regions in a coordinate plane which are separated by the x-axis and y-axis. These quadrants are numbered from 1 to 4 in a counterclockwise direction. Let's understand how to identify the quadrant in which a point lies:
- Quadrant 1 (Q1): This quadrant is on the right side of the y-axis and above the x-axis. The values of x and y are both positive in this quadrant. So, any point lying in this quadrant has positive values for both x and y coordinates.
- Quadrant 2 (Q2): This quadrant is on the left side of the y-axis and above the x-axis. The value of x is negative and the value of y is positive in this quadrant. So, any point lying in this quadrant has negative x-coordinate and positive y-coordinate.
- Quadrant 3 (Q3): This quadrant is on the left side of the y-axis and below the x-axis. The values of both x and y are negative in this quadrant. So, any point lying in this quadrant has negative values for both x and y coordinates.
- Quadrant 4 (Q4): This quadrant is on the right side of the y-axis and below the x-axis. The value of x is positive and the value of y is negative in this quadrant. So, any point lying in this quadrant has positive x-coordinate and negative y-coordinate.
Now, let's identify in which quadrant the point (3, 2) lies:
- The x-coordinate of the point is 3 which is positive.
- The y-coordinate of the point is 2 which is also positive.
Since both the x and y-coordinates of the point are positive, it lies in the Quadrant 1 (Q1).
Therefore, the correct answer is option 'A' which says that the point (3, 2) belongs to quadrant Q1.
Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).
- a)(2, 3)
- b)(11, 2)
- c)(0, 3)
- d)(1, 3)
Correct answer is option 'B'. Can you explain this answer?
Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).
a)
(2, 3)
b)
(11, 2)
c)
(0, 3)
d)
(1, 3)
|
Jyoti Kapoor answered |
The given three points are A(1,2) B(3,-4) and C(5,-6).
Let P (x, y) be the point equidistant from these three points.
So, PA = PB = PC
⇒ x^2 + 1– 2x + y^2 + 4 – 4y = x^2 + 9 -6x + y^2 + 16 + 8y = x 2 + 25– 10x + y^2 + 36 + 12y
⇒ – 2x– 4y + 5 = -6x + 8y +25= – 10x + 12y+61
– 2x– 4y + 5 = -6x + 8y +25
⇒ – 2x– 4y + 5 +6x - 8y -25=0
⇒ 4x– 12y -20=0
⇒ x– 3y - 5 =0....(i)
- 2x– 4y + 5 = – 10x + 12y+61
⇒- 2x– 4y + 5 +10x - 12y-61=0
⇒8x– 16y -56=0
⇒x– 2y -7=0....(ii)
Solving (i) and (ii)
x = 11, y = 2
Thus, the required point is (11, 2)
The point (0, –2) lies on :- a)+ve x-axis
- b)+ve y-axis
- c)–ve x-axis
- d)–ve y-axis
Correct answer is 'D'. Can you explain this answer?
The point (0, –2) lies on :
a)
+ve x-axis
b)
+ve y-axis
c)
–ve x-axis
d)
–ve y-axis
|
Tarun Bhaskar answered |
Because the other name of Y is X=0 and y=-2so it lies on negative Y axis(-ve Y-axis)
The coordinate of a point on the y- axis of the form are …….- a)(0, 0)
- b)(x, y)
- c)(0, y)
- d)(x, 0)
Correct answer is option 'C'. Can you explain this answer?
The coordinate of a point on the y- axis of the form are …….
a)
(0, 0)
b)
(x, y)
c)
(0, y)
d)
(x, 0)
|
Sh. answered |
This is because if it will be not 0 at then the point will fall somewhre else on the graph instead of y- axis.So the co-ordinatemust be (0,Y) to fall on y- axis.
The point (2, –3) belongs to quadrant _______________ :- a)Q1
- b)Q2
- c)Q3
- d)Q4
Correct answer is option 'D'. Can you explain this answer?
The point (2, –3) belongs to quadrant _______________ :
a)
Q1
b)
Q2
c)
Q3
d)
Q4
|
Vikram Khanna answered |
The 4th quadrant.
To the right and below the origin.
Explanation:
The x value is POSITIVE which means that the point is to the right of the origin.
The y value is NEGATIVE which means that the point is below the origin.
The 4th quadrant is to the right and below the origin,(The bottom right quadrant)
All points in the 4th quadrant have the signs as (+,−)
The point whose abscissa is -3 and lies on x-axis is.
- a)(0,3)
- b)(3,0)
- c)(0,-3)
- d)(-3,0)
Correct answer is option 'D'. Can you explain this answer?
The point whose abscissa is -3 and lies on x-axis is.
a)
(0,3)
b)
(3,0)
c)
(0,-3)
d)
(-3,0)
|
|
Zachary Foster answered |
The abscissa refers to the x-coordinate of a point. If a point lies on the x-axis, its y-coordinate (ordinate) will be zero.
Given that the abscissa is -3 and the point lies on the x-axis, the coordinates of the point will be:
(-3, 0).
Thus, the point is (-3, 0).
The point (0, -4) lies- a)in quadrant IV
- b)on the negative direction of x-axis
- c)on the negative direction of y-axis
- d)in quadrant III
Correct answer is option 'C'. Can you explain this answer?
The point (0, -4) lies
a)
in quadrant IV
b)
on the negative direction of x-axis
c)
on the negative direction of y-axis
d)
in quadrant III
|
|
Zachary Foster answered |
- The Cartesian coordinate system is divided into four quadrants:
- Quadrant I: Positive x and y values.
- Quadrant II: Negative x, positive y values.
- Quadrant III: Negative x and y values.
- Quadrant IV: Positive x, negative y values.
- The point (0, -4) is on the y-axis, where x = 0.
- This point lies in Quadrant IV.
- Quadrant I: Positive x and y values.
- Quadrant II: Negative x, positive y values.
- Quadrant III: Negative x and y values.
- Quadrant IV: Positive x, negative y values.
- The point (0, -4) is on the y-axis, where x = 0.
- This point lies in Quadrant IV.
The point which lies on y-axis at a distance of 6 units in the positive direction of y-axis is- a)(-6, 0)
- b)(0, -6)
- c)(0, 6)
- d)(6, 0)
Correct answer is option 'C'. Can you explain this answer?
The point which lies on y-axis at a distance of 6 units in the positive direction of y-axis is
a)
(-6, 0)
b)
(0, -6)
c)
(0, 6)
d)
(6, 0)
|
Sakshi Banerjee answered |
Finding the point on y-axis at a distance of 6 units in the positive direction of y-axis
Steps:
1. The point on y-axis is denoted as (0, y), where y is the y-coordinate of the point.
2. Since we want the point to be in the positive direction of y-axis, y should be positive.
3. The distance of the point from the origin is given as 6 units. Using the distance formula, we have:
- distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
- Here, x1 = 0, y1 = 0 (origin), x2 = 0 (point lies on y-axis), y2 = y
- distance = sqrt((0 - 0)^2 + (y - 0)^2) = sqrt(y^2) = y
- Therefore, y = 6
4. So, the point on y-axis at a distance of 6 units in the positive direction of y-axis is (0, 6).
Answer:
The correct answer is option C) (0, 6).
Steps:
1. The point on y-axis is denoted as (0, y), where y is the y-coordinate of the point.
2. Since we want the point to be in the positive direction of y-axis, y should be positive.
3. The distance of the point from the origin is given as 6 units. Using the distance formula, we have:
- distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
- Here, x1 = 0, y1 = 0 (origin), x2 = 0 (point lies on y-axis), y2 = y
- distance = sqrt((0 - 0)^2 + (y - 0)^2) = sqrt(y^2) = y
- Therefore, y = 6
4. So, the point on y-axis at a distance of 6 units in the positive direction of y-axis is (0, 6).
Answer:
The correct answer is option C) (0, 6).
Which of the following statement is TRUE ?- a)Coordinate (-2, 3) lies in III quadrant whereas (3, -2) lies in the IV quadrant.
- b)Coordinate (-2, 3) lies in II quadrant whereas (3, -2) lies in the III quadrant
- c)Coordinate (-2, 3) and (3, -2) lies in the same quadrant.
- d)Coordinate (-2, 3) lies in II quadrant whereas (3, -2) lies in the IV quadrant.
Correct answer is option 'D'. Can you explain this answer?
Which of the following statement is TRUE ?
a)
Coordinate (-2, 3) lies in III quadrant whereas (3, -2) lies in the IV quadrant.
b)
Coordinate (-2, 3) lies in II quadrant whereas (3, -2) lies in the III quadrant
c)
Coordinate (-2, 3) and (3, -2) lies in the same quadrant.
d)
Coordinate (-2, 3) lies in II quadrant whereas (3, -2) lies in the IV quadrant.
|
Saikat Verma answered |
**Explanation:**
To determine the quadrant in which a coordinate point lies, we need to consider the signs of its x and y coordinates.
Let's analyze the given coordinates:
- Coordinate (-2, 3): The x-coordinate is -2 (negative) and the y-coordinate is 3 (positive).
- Coordinate (3, -2): The x-coordinate is 3 (positive) and the y-coordinate is -2 (negative).
Based on these coordinates, we can determine the quadrants as follows:
- Coordinate (-2, 3): Since the x-coordinate is negative and the y-coordinate is positive, this point lies in the **II quadrant**.
- Coordinate (3, -2): Since the x-coordinate is positive and the y-coordinate is negative, this point lies in the **IV quadrant**.
Therefore, the correct statement is option **D: Coordinate (-2, 3) lies in II quadrant whereas (3, -2) lies in IV quadrant**.
To determine the quadrant in which a coordinate point lies, we need to consider the signs of its x and y coordinates.
Let's analyze the given coordinates:
- Coordinate (-2, 3): The x-coordinate is -2 (negative) and the y-coordinate is 3 (positive).
- Coordinate (3, -2): The x-coordinate is 3 (positive) and the y-coordinate is -2 (negative).
Based on these coordinates, we can determine the quadrants as follows:
- Coordinate (-2, 3): Since the x-coordinate is negative and the y-coordinate is positive, this point lies in the **II quadrant**.
- Coordinate (3, -2): Since the x-coordinate is positive and the y-coordinate is negative, this point lies in the **IV quadrant**.
Therefore, the correct statement is option **D: Coordinate (-2, 3) lies in II quadrant whereas (3, -2) lies in IV quadrant**.
If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are- a)3, 6
- b)7, 9
- c)2, 4
- d)8, 10
Correct answer is option 'C'. Can you explain this answer?
If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are
a)
3, 6
b)
7, 9
c)
2, 4
d)
8, 10
|
Hansa Sharma answered |
we have,
2 = (3p - 2)/2 and 2p + 2 = (2q + 4)/2
3p = 6 and 2p = q
p = 2
and q = 2p = 4
The equation of x-axis is- a)y = x
- b)x = 0
- c)y = 0
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
The equation of x-axis is
a)
y = x
b)
x = 0
c)
y = 0
d)
none of these
|
|
Jaideep Sharma answered |
**Explanation:**
The equation of the x-axis represents all the points that lie on the x-axis. The x-axis is a horizontal line that intersects the y-axis at the origin (0,0).
The equation of the x-axis can be written in the form y = k, where k is a constant. Since the x-axis is a horizontal line, the value of y remains constant for all values of x.
To find the equation of the x-axis, we need to determine the value of y that remains constant. At every point on the x-axis, the value of y is always 0. Therefore, the equation of the x-axis is y = 0.
**Option C: y = 0**
The equation of the x-axis represents all the points that lie on the x-axis. The x-axis is a horizontal line that intersects the y-axis at the origin (0,0).
The equation of the x-axis can be written in the form y = k, where k is a constant. Since the x-axis is a horizontal line, the value of y remains constant for all values of x.
To find the equation of the x-axis, we need to determine the value of y that remains constant. At every point on the x-axis, the value of y is always 0. Therefore, the equation of the x-axis is y = 0.
**Option C: y = 0**
The point B(-3, 4) lies in
- a)IV Quadrant
- b)II Quadrant
- c)I Quadrant
- d)III Quadrant
Correct answer is option 'B'. Can you explain this answer?
The point B(-3, 4) lies in
a)
IV Quadrant
b)
II Quadrant
c)
I Quadrant
d)
III Quadrant
|
|
Purbasha Dutta answered |
Abscissa is negative and ordinate is positive
so it will lie in 2 quadrant
so it will lie in 2 quadrant
Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Coordinate Geometry" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q The point of intersection of X and Y axes is called :- a)Origin
- b)Null point
- c)Common point
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Coordinate Geometry" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)
Q The point of intersection of X and Y axes is called :
a)
Origin
b)
Null point
c)
Common point
d)
None of these
|
Samaira Kapoor answered |
Explanation:
- The point where X and Y axes intersect is known as the origin.
- It is denoted by the letter 'O'.
- The coordinates of the origin are (0,0).
- The X-axis is the horizontal line that runs from left to right.
- The Y-axis is the vertical line that runs from top to bottom.
- Together, they form a rectangular coordinate system, also known as a Cartesian coordinate system.
- The coordinates of a point in this system are given by an ordered pair (x, y) where x represents the distance from the origin along the X-axis and y represents the distance from the origin along the Y-axis.
- The origin is an important point in mathematics and is used as a reference point for many calculations and geometric constructions.
The point D(3, -6) lies in
- a)II Quadrant
- b)III Quadrant
- c)IV Quadrant
- d)I Quadrant
Correct answer is option 'C'. Can you explain this answer?
The point D(3, -6) lies in
a)
II Quadrant
b)
III Quadrant
c)
IV Quadrant
d)
I Quadrant
|
Keshav answered |
The point D(3, -6) lies in the IV Quadrant. Explanation: In the Cartesian plane, the X-axis and Y-axis divide the plane into four quadrants. The I Quadrant is where both x and y are positive. The II Quadrant is where x is negative and y is positive. The III Quadrant is where both x and y are negative. The IV Quadrant is where x is positive and y is negative. The point D(3, -6) has a positive x-coordinate and a negative y-coordinate. Therefore, it lies in the IV Quadrant.
A point P on line 2x + 3y = 5, has equal value of both ordinate and abscissa, then the mirror image of point P about y-axis will be:- a)(1 , -1)
- b)(-1, 1)
- c)(-1, -1)
- d)(-2, 1)
Correct answer is option 'B'. Can you explain this answer?
A point P on line 2x + 3y = 5, has equal value of both ordinate and abscissa, then the mirror image of point P about y-axis will be:
a)
(1 , -1)
b)
(-1, 1)
c)
(-1, -1)
d)
(-2, 1)
|
|
Shilpa Choudhury answered |
When ordinate = abscissa, then y = x
∴ 2x + 3x = 5
⇒ 5x = 5
⇒ x = 1
∴ x = y = 1 will be point on line having equal abscissa and ordinate
∴ Point P = (1, 1)
∴ Its image about y-axis will be (-1, 1).
∴ 2x + 3x = 5
⇒ 5x = 5
⇒ x = 1
∴ x = y = 1 will be point on line having equal abscissa and ordinate
∴ Point P = (1, 1)
∴ Its image about y-axis will be (-1, 1).
The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is- a)(-3, 0)
- b)(0, 3)
- c)(0, -3)
- d)(3, 0)
Correct answer is option 'D'. Can you explain this answer?
The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is
a)
(-3, 0)
b)
(0, 3)
c)
(0, -3)
d)
(3, 0)
|
|
Nishi Kumari answered |
Because in co-ordinates x axis comes first as (x, y)
The point which lies on x-axis at a distance of 4 units in the negative direction of x-axis is
- a)(4, 0)
- b)(-4, 0)
- c)(0, 4)
- d)(0, -4)
Correct answer is option 'B'. Can you explain this answer?
The point which lies on x-axis at a distance of 4 units in the negative direction of x-axis is
a)
(4, 0)
b)
(-4, 0)
c)
(0, 4)
d)
(0, -4)
|
|
Zachary Foster answered |
To understand this, let's break down the information given:
- x-axis: The x-axis is the horizontal line in the coordinate plane. Any point on the x-axis will have a y-coordinate of 0 because it does not move up or down from the axis.
- Distance of 4 units in the negative direction of x-axis:
- The x-axis has a positive direction (towards the right) and a negative direction (towards the left).
- Moving 4 units in the negative direction means moving 4 units to the left from the origin (0,0).
- Coordinates:
- When you move 4 units to the left on the x-axis, the x-coordinate becomes -4, and since the point is on the x-axis, the y-coordinate remains 0.
Therefore, the point that lies on the x-axis 4 units in the negative direction is (−4,0)(-4, 0)(−4,0).
This corresponds to option (b) (-4, 0).
A point both of whose co-ordinates are negative lies in- a)quadrant II and IV
- b)quadrant I and III
- c)quadrant III only
- d)quadrant I only
Correct answer is option 'C'. Can you explain this answer?
A point both of whose co-ordinates are negative lies in
a)
quadrant II and IV
b)
quadrant I and III
c)
quadrant III only
d)
quadrant I only
|
|
Anya answered |
It is because the quadrant 3 has both of the x and y as negative numbers
The point (0, 9) lies- a)in quadrant IV
- b)on the positive direction of y-axis
- c)in quadrant III
- d)on the positive direction of x-axis
Correct answer is option 'B'. Can you explain this answer?
The point (0, 9) lies
a)
in quadrant IV
b)
on the positive direction of y-axis
c)
in quadrant III
d)
on the positive direction of x-axis
|
Ridhi Kapoor answered |
**Explanation:**
The point (0, 9) lies on the positive direction of the y-axis. Let's break down the options and analyze them one by one to understand why the correct answer is option 'B'.
a) In quadrant IV:
Quadrant IV is the bottom right quadrant on the coordinate plane. In this quadrant, both the x and y coordinates are positive. However, since the x-coordinate of the given point is 0, it does not lie in quadrant IV.
b) On the positive direction of y-axis:
The positive direction of the y-axis is the upward direction. Since the y-coordinate of the given point is 9, which is positive, it lies on the positive direction of the y-axis. Therefore, option 'B' is correct.
c) In quadrant III:
Quadrant III is the bottom left quadrant on the coordinate plane. In this quadrant, the x-coordinate is negative, but the y-coordinate is positive. Since the x-coordinate of the given point is 0, it does not lie in quadrant III.
d) On the positive direction of x-axis:
The positive direction of the x-axis is the rightward direction. However, since the x-coordinate of the given point is 0, it does not lie on the positive direction of the x-axis.
Therefore, the correct answer is option 'B' because the point (0, 9) lies on the positive direction of the y-axis.
The point (0, 9) lies on the positive direction of the y-axis. Let's break down the options and analyze them one by one to understand why the correct answer is option 'B'.
a) In quadrant IV:
Quadrant IV is the bottom right quadrant on the coordinate plane. In this quadrant, both the x and y coordinates are positive. However, since the x-coordinate of the given point is 0, it does not lie in quadrant IV.
b) On the positive direction of y-axis:
The positive direction of the y-axis is the upward direction. Since the y-coordinate of the given point is 9, which is positive, it lies on the positive direction of the y-axis. Therefore, option 'B' is correct.
c) In quadrant III:
Quadrant III is the bottom left quadrant on the coordinate plane. In this quadrant, the x-coordinate is negative, but the y-coordinate is positive. Since the x-coordinate of the given point is 0, it does not lie in quadrant III.
d) On the positive direction of x-axis:
The positive direction of the x-axis is the rightward direction. However, since the x-coordinate of the given point is 0, it does not lie on the positive direction of the x-axis.
Therefore, the correct answer is option 'B' because the point (0, 9) lies on the positive direction of the y-axis.
The point (7, 0) lies
- a)in quadrant IV
- b)on the positive direction of y-axis
- c)in quadrant II
- d)on the positive direction of x-axis
Correct answer is option 'D'. Can you explain this answer?
The point (7, 0) lies
a)
in quadrant IV
b)
on the positive direction of y-axis
c)
in quadrant II
d)
on the positive direction of x-axis
|
|
Harini Shah answered |
As it is clear that (7,0) lies in the 1st quadrant it is understood that the positive direction of x-axis is the 1st quadrant. Hence, the answer
If x = y then (x,y) = (y,x).- a)The above statement is TRUE
- b)The above statement is TRUE if x is not equal to y
- c)The above statement is FALSE
- d)The above statement is TRUE if x is less then y
Correct answer is option 'A'. Can you explain this answer?
If x = y then (x,y) = (y,x).
a)
The above statement is TRUE
b)
The above statement is TRUE if x is not equal to y
c)
The above statement is FALSE
d)
The above statement is TRUE if x is less then y
|
Prisha Behera answered |
Suppose x=5
So, y=5
Then, (5,5)=(5,5)
The point C(-5, -2) lies in- a)III Quadrant
- b)IV Quadrant
- c)I Quadrant
- d)II Quadrant
Correct answer is option 'A'. Can you explain this answer?
The point C(-5, -2) lies in
a)
III Quadrant
b)
IV Quadrant
c)
I Quadrant
d)
II Quadrant
|
Nisha Nair answered |
Explanation:
Quadrants in the Coordinate Plane:
In the coordinate plane, there are four quadrants labeled as I, II, III, and IV. The quadrants are separated by the x-axis and y-axis. The signs of the x and y coordinates determine in which quadrant a point lies.
Coordinates of the Point:
The point C(-5, -2) has x-coordinate as -5 and y-coordinate as -2.
Identification of Quadrant:
To determine in which quadrant the point C(-5, -2) lies, we need to consider the signs of the x and y coordinates.
- Since the x-coordinate is negative (-5), it means the point lies to the left of the y-axis.
- Since the y-coordinate is negative (-2), it means the point lies below the x-axis.
Location of Point C:
Based on the signs of the coordinates:
- The point C(-5, -2) lies to the left of the y-axis (negative x-coordinate).
- The point C(-5, -2) lies below the x-axis (negative y-coordinate).
Conclusion:
Therefore, the point C(-5, -2) lies in the III Quadrant of the coordinate plane.
Quadrants in the Coordinate Plane:
In the coordinate plane, there are four quadrants labeled as I, II, III, and IV. The quadrants are separated by the x-axis and y-axis. The signs of the x and y coordinates determine in which quadrant a point lies.
Coordinates of the Point:
The point C(-5, -2) has x-coordinate as -5 and y-coordinate as -2.
Identification of Quadrant:
To determine in which quadrant the point C(-5, -2) lies, we need to consider the signs of the x and y coordinates.
- Since the x-coordinate is negative (-5), it means the point lies to the left of the y-axis.
- Since the y-coordinate is negative (-2), it means the point lies below the x-axis.
Location of Point C:
Based on the signs of the coordinates:
- The point C(-5, -2) lies to the left of the y-axis (negative x-coordinate).
- The point C(-5, -2) lies below the x-axis (negative y-coordinate).
Conclusion:
Therefore, the point C(-5, -2) lies in the III Quadrant of the coordinate plane.
If a circle is such that x-axis is tangent to it, if the coordinate of centre of circle is (2, 3), then the point of tangency will have ordinate equal to- a)2
- b)0
- c)- 3
- d)- 4
Correct answer is option 'B'. Can you explain this answer?
If a circle is such that x-axis is tangent to it, if the coordinate of centre of circle is (2, 3), then the point of tangency will have ordinate equal to
a)
2
b)
0
c)
- 3
d)
- 4
|
Sagar Menon answered |
Understanding the Circle's Tangency to the X-axis
When a circle is tangent to the x-axis, it means that the circle touches the x-axis at exactly one point. This point is known as the point of tangency.
Circle's Center and Radius
- The center of the circle is given as (2, 3).
- The x-coordinate of the center is 2, and the y-coordinate is 3.
Finding the Point of Tangency
Since the x-axis is the line where y = 0, the point of tangency must have a y-coordinate (ordinate) of 0. This is because the circle touches the x-axis at the height of y = 0.
Determining the Radius
- The distance from the center of the circle at (2, 3) to the x-axis is equal to the y-coordinate of the center, which is 3.
- This distance represents the radius of the circle.
Conclusion: Point of Tangency
- The point of tangency lies directly below the center of the circle at the x-axis level.
- Therefore, since the x-coordinate remains the same (2), the coordinates of the point of tangency must be (2, 0).
Hence, the ordinate (y-coordinate) of the point of tangency is 0.
Correct Answer
The correct answer is option 'B' (0).
When a circle is tangent to the x-axis, it means that the circle touches the x-axis at exactly one point. This point is known as the point of tangency.
Circle's Center and Radius
- The center of the circle is given as (2, 3).
- The x-coordinate of the center is 2, and the y-coordinate is 3.
Finding the Point of Tangency
Since the x-axis is the line where y = 0, the point of tangency must have a y-coordinate (ordinate) of 0. This is because the circle touches the x-axis at the height of y = 0.
Determining the Radius
- The distance from the center of the circle at (2, 3) to the x-axis is equal to the y-coordinate of the center, which is 3.
- This distance represents the radius of the circle.
Conclusion: Point of Tangency
- The point of tangency lies directly below the center of the circle at the x-axis level.
- Therefore, since the x-coordinate remains the same (2), the coordinates of the point of tangency must be (2, 0).
Hence, the ordinate (y-coordinate) of the point of tangency is 0.
Correct Answer
The correct answer is option 'B' (0).
Abscissa of a point is negative in- a)quadrant IV only
- b)quadrant II and III
- c)quadrant I only
- d)quadrant I and IV
Correct answer is option 'B'. Can you explain this answer?
Abscissa of a point is negative in
a)
quadrant IV only
b)
quadrant II and III
c)
quadrant I only
d)
quadrant I and IV
|
Divey Sethi answered |
The abscissa (x-coordinate) is negative in Quadrants II and III because:- In Quadrant II, the x-values are negative while y-values are positive.- In Quadrant III, both x and y values are negative. Therefore, option B is correct as it includes both quadrants where the abscissa is negative.
The distance of a point (-5, 6) from the y- axis is
- a)6 units
- b)5 units
- c)1 unit
- d)-5 units
Correct answer is option 'B'. Can you explain this answer?
The distance of a point (-5, 6) from the y- axis is
a)
6 units
b)
5 units
c)
1 unit
d)
-5 units
|
|
Simran Yadav answered |
the distance of the point (-5, 6) from y- axis is |-5| units.
In general, the distance of the point (x,y) from x-axis is y and from y-axis is x.
The mirror image of point (4, 3) about x-axis will be- a)(4, -3)
- b)(-4, -3)
- c)(-4, 3)
- d)(5, -3)
Correct answer is option 'A'. Can you explain this answer?
The mirror image of point (4, 3) about x-axis will be
a)
(4, -3)
b)
(-4, -3)
c)
(-4, 3)
d)
(5, -3)
|
|
Neerja Iyer answered |
Explanation:
To find the mirror image of a point about the x-axis, we need to reflect the given point across the x-axis. The x-coordinate of the point remains the same, but the y-coordinate changes its sign.
Given point: (4, 3)
To reflect this point across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.
The x-coordinate of the given point is 4. Therefore, the x-coordinate of the mirror image will also be 4.
The y-coordinate of the given point is 3. To find the y-coordinate of the mirror image, we change the sign of 3, which gives us -3.
Hence, the mirror image of the point (4, 3) about the x-axis is (4, -3).
Therefore, the correct answer is option 'A' (4, -3).
To find the mirror image of a point about the x-axis, we need to reflect the given point across the x-axis. The x-coordinate of the point remains the same, but the y-coordinate changes its sign.
Given point: (4, 3)
To reflect this point across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.
The x-coordinate of the given point is 4. Therefore, the x-coordinate of the mirror image will also be 4.
The y-coordinate of the given point is 3. To find the y-coordinate of the mirror image, we change the sign of 3, which gives us -3.
Hence, the mirror image of the point (4, 3) about the x-axis is (4, -3).
Therefore, the correct answer is option 'A' (4, -3).
If two points P and Q have same abscissae and different ordinates, then points P and Q will definitely lie on- a)Line parallel to x-axis
- b)x-axis
- c)y-axis
- d)Line parallel to y-axis
Correct answer is option 'D'. Can you explain this answer?
If two points P and Q have same abscissae and different ordinates, then points P and Q will definitely lie on
a)
Line parallel to x-axis
b)
x-axis
c)
y-axis
d)
Line parallel to y-axis
|
|
Shilpa Choudhury answered |
If P and Q have same abscissa but different ordinates then P and Q have coordinates, as P (a, c ), Q (a, b)
∵ x-coordinate is constant.
∴ P and Q will lie on line parallel to y-axis.
∵ x-coordinate is constant.
∴ P and Q will lie on line parallel to y-axis.
The point of intersection of both the axes is called:- a)Ordinate
- b)Origin
- c)Quadrant
- d)Abscissa
Correct answer is option 'B'. Can you explain this answer?
The point of intersection of both the axes is called:
a)
Ordinate
b)
Origin
c)
Quadrant
d)
Abscissa
|
Gopal Singh answered |
Origin
The point of intersection of both the axes is called the origin. It is denoted by the coordinates (0,0) in a Cartesian coordinate system. The x-axis and the y-axis are perpendicular to each other at the origin.
Explanation:
The origin is a significant point in a coordinate system as it is used as a reference point to locate other points. It serves as the starting point for measuring distances and determining the position of various points in the coordinate plane.
Significance of the Origin:
1. Reference Point: The origin is used as a reference point to locate other points in the coordinate plane. The distance of any point from the origin can be measured using the coordinates of that point.
2. Quadrant Division: The origin divides the coordinate plane into four quadrants - the first quadrant, second quadrant, third quadrant, and fourth quadrant. These quadrants help in identifying the signs of the coordinates of different points.
3. Symmetry: The origin is a point of symmetry in the coordinate plane. Any point equidistant from the origin in opposite directions lies on the same line passing through the origin.
4. Graphing Functions: When graphing functions, the origin serves as a starting point. The coordinates of other points on the graph are determined relative to the origin.
5. Mathematical Operations: The origin is essential for mathematical operations such as finding the slope of a line or determining the distance between two points. These calculations involve the coordinates of specific points relative to the origin.
Conclusion:
The point of intersection of both the axes is called the origin. It is a reference point in the coordinate plane and has various applications in mathematics and geometry. The origin is denoted by the coordinates (0,0) and serves as the starting point for measuring distances and determining the position of other points in the coordinate plane.
The point of intersection of both the axes is called the origin. It is denoted by the coordinates (0,0) in a Cartesian coordinate system. The x-axis and the y-axis are perpendicular to each other at the origin.
Explanation:
The origin is a significant point in a coordinate system as it is used as a reference point to locate other points. It serves as the starting point for measuring distances and determining the position of various points in the coordinate plane.
Significance of the Origin:
1. Reference Point: The origin is used as a reference point to locate other points in the coordinate plane. The distance of any point from the origin can be measured using the coordinates of that point.
2. Quadrant Division: The origin divides the coordinate plane into four quadrants - the first quadrant, second quadrant, third quadrant, and fourth quadrant. These quadrants help in identifying the signs of the coordinates of different points.
3. Symmetry: The origin is a point of symmetry in the coordinate plane. Any point equidistant from the origin in opposite directions lies on the same line passing through the origin.
4. Graphing Functions: When graphing functions, the origin serves as a starting point. The coordinates of other points on the graph are determined relative to the origin.
5. Mathematical Operations: The origin is essential for mathematical operations such as finding the slope of a line or determining the distance between two points. These calculations involve the coordinates of specific points relative to the origin.
Conclusion:
The point of intersection of both the axes is called the origin. It is a reference point in the coordinate plane and has various applications in mathematics and geometry. The origin is denoted by the coordinates (0,0) and serves as the starting point for measuring distances and determining the position of other points in the coordinate plane.
Point P (4 - 3) will lie in :- a)I quadrant
- b)II quadrant
- c)III quadrant
- d)IV quadrant
Correct answer is option 'D'. Can you explain this answer?
Point P (4 - 3) will lie in :
a)
I quadrant
b)
II quadrant
c)
III quadrant
d)
IV quadrant
|
|
Shilpa Choudhury answered |
Point (4 , 3) have (+, -) sign convention, that belongs to IVth quadrant.
The perpendicular distance of a point Q(4, 7) from y-axis is- a)4 units
- b)7 units
- c)11 units
- d)3 units
Correct answer is option 'A'. Can you explain this answer?
The perpendicular distance of a point Q(4, 7) from y-axis is
a)
4 units
b)
7 units
c)
11 units
d)
3 units
|
Arka Dey answered |
(i) In the first quadrant, the coordinates of the required point will be (5,4).
(ii) In the second quadrant, the coordinates of the required point will be (-5,4).
(iii) In the third quadrant, the coordinates of the required point will be (-5,-4).
(iv) In the fourth quadrant, the coordinates of the required point will be (5,-4)
Abscissa of all points on the x-axis is- a)-1
- b)0
- c)any number
- d)1
Correct answer is option 'C'. Can you explain this answer?
Abscissa of all points on the x-axis is
a)
-1
b)
0
c)
any number
d)
1
|
|
Ridhima Gupta answered |
Understanding the X-Axis
The x-axis is a fundamental concept in coordinate geometry, serving as a horizontal line in a two-dimensional plane.
Definition of Abscissa
- The abscissa refers to the x-coordinate of a point in a Cartesian coordinate system.
- It indicates the horizontal position of a point.
Points on the X-Axis
- Any point on the x-axis has a y-coordinate of 0.
- Therefore, the coordinates of points on the x-axis can be expressed as (x, 0), where 'x' can be any real number.
Why the Correct Answer is C: Any Number
- Since the abscissa is defined as the x-coordinate, any point on the x-axis can have any value for 'x'.
- For example:
- The point (3, 0) has an abscissa of 3.
- The point (-5, 0) has an abscissa of -5.
- The point (0, 0) has an abscissa of 0.
- This flexibility means that the abscissa of points on the x-axis is not restricted to specific numbers like -1, 0, or 1.
Conclusion
In conclusion, the abscissa of all points on the x-axis is indeed "any number," confirming that option 'C' is correct. Understanding this concept is essential for further studies in mathematics and coordinate geometry.
The x-axis is a fundamental concept in coordinate geometry, serving as a horizontal line in a two-dimensional plane.
Definition of Abscissa
- The abscissa refers to the x-coordinate of a point in a Cartesian coordinate system.
- It indicates the horizontal position of a point.
Points on the X-Axis
- Any point on the x-axis has a y-coordinate of 0.
- Therefore, the coordinates of points on the x-axis can be expressed as (x, 0), where 'x' can be any real number.
Why the Correct Answer is C: Any Number
- Since the abscissa is defined as the x-coordinate, any point on the x-axis can have any value for 'x'.
- For example:
- The point (3, 0) has an abscissa of 3.
- The point (-5, 0) has an abscissa of -5.
- The point (0, 0) has an abscissa of 0.
- This flexibility means that the abscissa of points on the x-axis is not restricted to specific numbers like -1, 0, or 1.
Conclusion
In conclusion, the abscissa of all points on the x-axis is indeed "any number," confirming that option 'C' is correct. Understanding this concept is essential for further studies in mathematics and coordinate geometry.
Minimum distance of point (4, 6) from x -axis will be - a)4
- b)6
- c)8
- d)√52
Correct answer is option 'B'. Can you explain this answer?
Minimum distance of point (4, 6) from x -axis will be
a)
4
b)
6
c)
8
d)
√52
|
Mansi Tiwari answered |
Explanation:
Distance of a point from the x-axis:
- The distance of a point from the x-axis is the perpendicular distance from the point to the x-axis.
- In this case, the point is (4, 6).
Calculating the distance:
- The y-coordinate of the point (4, 6) is 6.
- Since the x-axis is a horizontal line, the distance of the point from the x-axis is the absolute value of the y-coordinate, which is 6.
Minimum distance:
- The minimum distance of the point (4, 6) from the x-axis is the shortest possible distance, which is the absolute value of the y-coordinate.
- Therefore, the minimum distance of the point (4, 6) from the x-axis is 6.
Therefore, the correct answer is option B) 6.
Distance of a point from the x-axis:
- The distance of a point from the x-axis is the perpendicular distance from the point to the x-axis.
- In this case, the point is (4, 6).
Calculating the distance:
- The y-coordinate of the point (4, 6) is 6.
- Since the x-axis is a horizontal line, the distance of the point from the x-axis is the absolute value of the y-coordinate, which is 6.
Minimum distance:
- The minimum distance of the point (4, 6) from the x-axis is the shortest possible distance, which is the absolute value of the y-coordinate.
- Therefore, the minimum distance of the point (4, 6) from the x-axis is 6.
Therefore, the correct answer is option B) 6.
Distance between points (24, 10) and (-48, 10) will be- a)72
- b)48
- c)24
- d)26
Correct answer is option 'A'. Can you explain this answer?
Distance between points (24, 10) and (-48, 10) will be
a)
72
b)
48
c)
24
d)
26
|
|
Mehul Datta answered |
Calculating Distance between Two Points
Explanation:
To calculate the distance between two points, we use the distance formula which is given as:
distance = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Calculation:
Given that the coordinates of the two points are (24, 10) and (-48, 10).
Substituting the values in the distance formula, we get:
distance = √((-48 - 24)² + (10 - 10)²)
= √((-72)² + 0²)
= √(5184)
= 72
Therefore, the distance between the two points is 72.
Hence, the correct answer is option 'A' (72).
Explanation:
To calculate the distance between two points, we use the distance formula which is given as:
distance = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Calculation:
Given that the coordinates of the two points are (24, 10) and (-48, 10).
Substituting the values in the distance formula, we get:
distance = √((-48 - 24)² + (10 - 10)²)
= √((-72)² + 0²)
= √(5184)
= 72
Therefore, the distance between the two points is 72.
Hence, the correct answer is option 'A' (72).
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