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CBSE Class 9  >  Class 9 Test  >  Mathematics (Maths)   >  Test: Cartesian Plane - Class 9 MCQ

Cartesian Plane - Free MCQ Practice Test with solutions, Class 9 Maths


MCQ Practice Test & Solutions: Test: Cartesian Plane (15 Questions)

You can prepare effectively for Class 9 Mathematics (Maths) Class 9 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Cartesian Plane". These 15 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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Test: Cartesian Plane - Question 1
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If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ……..

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

Detailed Solution: Question 2

 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.

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Test: Cartesian Plane - Question 3
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The point A lies in the second quadrant and is at a distance of 5 units from the y-axis and 3 units from the x-axis.What are the coordinates of A?

Detailed Solution: Question 3

Distance from y-axis = x-coordinate
Distance from x-axis = y-coordinate

Given:
Distance from y-axis = 5 → |x| = 5
Distance from x-axis = 3 → |y| = 3

Since the point lies in the second quadrant, signs are:

  • x is negative
  • y is positive

Therefore, coordinates = (–5, 3)

Test: Cartesian Plane - Question 4
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Point P(x,y) is a point in the third quadrant of the Cartesian plane. Then

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

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

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

Detailed Solution: 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
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If x = y then (x, y) = (y, x)

Detailed Solution: 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.="" y="" or="" x="" ≠="" y.="" thus,="" the="" correct="" answer="" is="">

Test: Cartesian Plane - Question 9
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If a point lies on the x-axis and is 7 units to the left of the origin, then its coordinates are:

Detailed Solution: Question 9

  • Any point on the x-axis has y-coordinate = 0
  • Left of origin → x is negative

So:
x = –7
y = 0

Therefore, coordinates = (–7, 0)

Test: Cartesian Plane - Question 10
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The distance of a point (2, 3) from the y – axis is.

Detailed Solution: 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
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Which of the following statement is TRUE ?​

Detailed Solution: 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
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The coordinates of the origin are ………..​

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

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

Detailed Solution: 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
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Which of the following points lies in the first quadrant?

Detailed Solution: Question 15

A point lies in the first quadrant if both x and y coordinates are positive.
In option (4, 6), x = 4 and y = 6 are both positive.
So, (4, 6) lies in the first quadrant.

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About this Class 9 Practice Test

This test contains 15 MCQs on Cartesian Plane with detailed solutions for each question. It is part of the Mathematics (Maths) Class 9 course on EduRev, designed to align with the current Class 9 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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