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In which quadrant does the point Q (-2, -6) lie?
  • a)
    I
  • b)
    II
  • c)
    IV
  • d)
    III
Correct answer is option 'D'. Can you explain this answer?

Shubham Sharma answered
The third quadrant is the quadrant where x and y are negative. Hence (-2,-6) lie in 3rd quadrant

In which quadrant does the point P (-5, -1) lie?
  • a)
    First quadrant
  • b)
     Second Quadrant
  • c)
    Third Quadrant
  • d)
    Fourth quadrant
Correct answer is option 'C'. Can you explain this answer?

Ananya Das answered
In first quadrant we have (+,+) in second quadrant we have (-,+) in third quadrant we have (-,-) and in 4quadrant we have (+,-)so (-5,-1)lies in 3rd quadrant.

Find the coordinates of the point B from the graph. 
  • a)
    (-2, 3)
  • b)
    (0, -4)
  • c)
    (-4, 5)
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Ananya Das answered
The point is -2 units from x-coordinate and 3 units from y coordinate, hence the coordinates of the point is (-2,3).

The point (0, 4) lies on which of the following:
  • a)
    x-axis
  • b)
    y-axis
  • c)
    origin
  • d)
    none of these.
Correct answer is option 'B'. Can you explain this answer?

Pranavi Roy answered
Understanding the Coordinate System
In a two-dimensional coordinate system, points are represented by an ordered pair (x, y), where "x" is the horizontal position and "y" is the vertical position.
Analyzing the Point (0, 4)
- The point (0, 4) has:
- x-coordinate: 0
- y-coordinate: 4
Identifying the Axes
- x-axis: This is the horizontal line where y = 0. Points on this line have a zero y-coordinate (e.g., (1, 0), (-2, 0)).
- y-axis: This is the vertical line where x = 0. Points on this line have a zero x-coordinate (e.g., (0, 1), (0, -3)).
- Origin: The point (0, 0) is known as the origin, where both x and y coordinates are zero.
Conclusion: Which Axis Does (0, 4) Lie On?
- The point (0, 4):
- Has an x-coordinate of 0, placing it on the y-axis.
- The y-coordinate is 4, meaning it is positioned 4 units above the origin along the y-axis.
Thus, the correct answer is option B: it lies on the y-axis.
Final Note
Understanding coordinates helps in visualizing points in space and allows us to determine their positions relative to the axes.

Find the coordinates of the point D from the graph. 
  • a)
    (0, -4)
  • b)
    (-4, 5)
  • c)
    (3, 1)
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Avneet Aulakh answered
That is because coordinations are written like this:(x,y)That means that the X value will come first because it is independent value and after that the Y value will come because it is a dependent value.

Find the coordinates of the point A from the graph. 
  • a)
    (-4, 5)
  • b)
    (-4, 0)
  • c)
    (0, -4)
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Glory Lobulu answered
In reading or writing coordinates of points we start by reading the X-axis then followed by the Y-axis, therefore the X-axis of A is -4 and its Y-axis is 0 hence the answer will be (-4,0)

The point (4,0) lies on which of the following?
  • a)
    x-axis
  • b)
    y-axis
  • c)
    origin
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Rutuja Kumar answered
Explanation:

To understand why the point (4,0) lies on the x-axis, we need to understand the Cartesian coordinate system.

Cartesian Coordinate System:
The Cartesian coordinate system is a grid system used to represent points in a plane. It consists of two perpendicular lines called the x-axis and y-axis. The point where these two axes intersect is called the origin.

X-Axis:
The x-axis is the horizontal line on the coordinate plane. It is the line where the y-coordinate is always zero. In other words, any point on the x-axis will have a y-coordinate of zero.

Y-Axis:
The y-axis is the vertical line on the coordinate plane. It is the line where the x-coordinate is always zero. In other words, any point on the y-axis will have an x-coordinate of zero.

Origin:
The origin is the point (0,0) where the x-axis and y-axis intersect. It serves as the reference point for all other points on the coordinate plane.

Point (4,0) on the Coordinate Plane:
Now, let's consider the point (4,0). This point has an x-coordinate of 4 and a y-coordinate of 0.

If we plot this point on the coordinate plane, we can see that it lies on the x-axis. The x-coordinate is positive (4), but the y-coordinate is zero. Therefore, the point (4,0) lies on the x-axis.

Conclusion:
In conclusion, the point (4,0) lies on the x-axis.

On which axis does the point (5, 0) lie?
  • a)
    origin
  • b)
    y-axis
  • c)
    x-axis
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Srestha Dey answered
Understanding Coordinate Points
When dealing with coordinate points in a two-dimensional plane, each point is represented by an ordered pair (x, y). The first number, x, indicates the horizontal position, while the second number, y, denotes the vertical position.
Analyzing the Point (5, 0)
The point (5, 0) has the following characteristics:
- x-coordinate: 5
- y-coordinate: 0
This means that the point is located 5 units to the right of the origin (0,0) along the x-axis and has no vertical displacement since the y-coordinate is 0.
Identifying the Axes
To understand where the point lies, we can look at the definitions of the axes:
- Origin: The point (0, 0) where the x-axis and y-axis intersect.
- y-axis: The vertical line where x is always 0 (points like (0, 1), (0, -2)).
- x-axis: The horizontal line where y is always 0 (points like (1, 0), (-2, 0)).
Conclusion
Since the y-coordinate of the point (5, 0) is zero, it indicates that the point lies directly on the x-axis.
- Therefore, the correct answer is option 'C': the point (5, 0) lies on the x-axis.

Which of the following statements is correct?
  • a)
    The coordinates of the origin are (0,1).
  • b)
    The point (5,0) lies on the Y-axis.
  • c)
    The point (0,7) lies on the Y-axis.
  • d)
    The point (3,2) lies on the X-axis.
Correct answer is option 'C'. Can you explain this answer?

Shalini Shah answered
The correct statement is option 'C': The point (0,7) lies on the Y-axis.

Explanation:
To understand why this statement is correct, let's first review what the X-axis and Y-axis represent in a Cartesian coordinate system.

- The X-axis is the horizontal line that runs left to right, with positive values to the right of the origin (0) and negative values to the left.
- The Y-axis is the vertical line that runs bottom to top, with positive values above the origin (0) and negative values below.

Now, let's analyze each statement to determine their accuracy.

a) The coordinates of the origin are (0,1).
This statement is incorrect. The origin (0,0) represents the point where the X-axis and Y-axis intersect. The Y-coordinate of the origin is 0, not 1.

b) The point (5,0) lies on the Y-axis.
This statement is incorrect. The point (5,0) has a Y-coordinate of 0, which means it lies on the X-axis, not the Y-axis.

c) The point (0,7) lies on the Y-axis.
This statement is correct. The point (0,7) has an X-coordinate of 0, which means it lies on the Y-axis. The Y-coordinate is 7, indicating that it is 7 units above the origin.

d) The point (3,2) lies on the X-axis.
This statement is incorrect. The point (3,2) has a Y-coordinate of 2, which means it does not lie on the X-axis. It lies above the X-axis, 2 units up.

In summary, the correct statement is option 'C': The point (0,7) lies on the Y-axis because its X-coordinate is 0.

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