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Test: Cartesian Plane - Class 9 MCQ


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15 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Cartesian Plane

Test: Cartesian Plane for Class 9 2025 is part of Mathematics (Maths) Class 9 preparation. The Test: Cartesian Plane questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Cartesian Plane MCQs are made for Class 9 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cartesian Plane below.
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Test: Cartesian Plane - Question 1

If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ……..

Detailed Solution for Test: Cartesian Plane - Question 1

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).

Test: Cartesian Plane - Question 2

The distance of a point (-5, 6) from the y- axis is

Detailed Solution for Test: Cartesian Plane - Question 2

 the distance of the point (-5, 6) from yaxis is |-5| units.

In general, the distance of the point (x,y) from x-axis is y and from y-axis is x.

Test: Cartesian Plane - Question 3

If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are

Detailed Solution for Test: Cartesian Plane - Question 3

we have, 

2 = (3p - 2)/2   and 2p + 2  = (2q + 4)/2

3p = 6  and 2p = q

p = 2

and q = 2p = 4

Test: Cartesian Plane - Question 4

Point P(x,y) is a point in the third quadrant of the Cartesian plane. Then

Detailed Solution for Test: Cartesian Plane - Question 4
In the Cartesian plane, the third quadrant has both x and y as negative values. Hence, point P(x,y) must have both coordinates negative.
Test: Cartesian Plane - Question 5

The abscissa or x-coordinate of any point on Y-axis is:

Detailed Solution for Test: Cartesian Plane - Question 5

Any point located on the Y-axis has coordinates in the form (0, y). This means that the abscissa, or x-coordinate, of such a point is always zero.

Therefore, the correct answer is D, which corresponds to an abscissa of 0.

Test: Cartesian Plane - Question 6

The point whose abscissa is -3 and lies on x-axis is.

Detailed Solution for Test: Cartesian Plane - Question 6

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).

Test: Cartesian Plane - Question 7

The distance of a point (2, 3) from the x- axis is

Detailed Solution for Test: Cartesian Plane - Question 7

"The distance between the origin and the coordinates (2, 3) is

Square root of (2 – 0)^2 + (3 – 0)^2

Square root of 2^2 + 3^2

Square root of 4 + 9

Square root of 25

Hence 5 will be the total distance between the coordinates and origin.

In case of x-axis we will only consider the value of y coordinate that is 3.

Test: Cartesian Plane - Question 8

If x = y then (x, y) = (y, x)

Detailed Solution for Test: Cartesian Plane - Question 8
The given statement is about the equality of ordered pairs. In mathematics, two ordered pairs (a, b) and (c, d) are equal if and only if a = c and b = d. If x = y, then substituting into the ordered pairs (x, y) and (y, x), we get: (x, y) = (y, x) since both components are equal. Therefore, the statement is TRUE regardless of whether x < y or x ≠ y. Thus, the correct answer is A.
Test: Cartesian Plane - Question 9

For a line whose equation is 2x + y = 5, which one of the following points lies on it ?​

Detailed Solution for Test: Cartesian Plane - Question 9

Option C is correct answer.

For the given point  (2,1)

x = 2 and y = 1

Putting value in 2x + y = 5
2 (2) +1 = 5
5 = 5

So point (2,1) lies on the line 2x + y = 5

Test: Cartesian Plane - Question 10

The distance of a point (2, 3) from the y – axis is.

Detailed Solution for Test: Cartesian Plane - Question 10

The distance of a point from the y -axis is always the value of it's x-coordinate

That is , the distance of point p(2,3 ) from y axis is 2 units.

Test: Cartesian Plane - Question 11

Which of the following statement is TRUE ?​

Detailed Solution for Test: Cartesian Plane - Question 11
The coordinate plane is divided into four quadrants based on the signs of the x and y values: - Quadrant I: (+, +) - Quadrant II: (-, +) - Quadrant III: (-, -) - Quadrant IV: (+, -) For the point (-2, 3): - The x-coordinate is negative, and the y-coordinate is positive, placing it in Quadrant II. For the point (3, -2): - The x-coordinate is positive, and the y-coordinate is negative, placing it in Quadrant IV. Thus, option D correctly states that (-2, 3) lies in Quadrant II and (3, -2) lies in Quadrant IV.
Test: Cartesian Plane - Question 12

The coordinates of the origin are ………..​

Detailed Solution for Test: Cartesian Plane - Question 12
The origin in a coordinate system is defined as the point where both coordinates are zero, which is (0, 0). Therefore, the correct answer is option C.
Test: Cartesian Plane - Question 13

The perpendicular distance of a point Q(4, 7) from y-axis is

Detailed Solution for Test: Cartesian Plane - Question 13

Distance of point from y-axis is x -coordinate of given point,
So,since,value of x-coordinate is 4
so, distance = 4 unit 

Test: Cartesian Plane - Question 14

The coordinates of a point on the y- axis of the form are …….

Detailed Solution for Test: Cartesian Plane - Question 14

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.

Test: Cartesian Plane - Question 15

If x = y then (x,y) = (y,x).

Detailed Solution for Test: Cartesian Plane - Question 15

Suppose x = 5

So, y = 5

Then, the coordinates are:

  • (5, 5) = (5, 5)
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