Coordinates — sample questions with answers.

5275 verified coordinates questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): The distance of (−5, 12) from the origin is 13 units. Reason (R): The distance of (x, y) from the origin is √(x² + y²).

(A) Both A and R are true and R is the correct explanation of A.	(B) Both A and R are true but R is not the correct explanation of A.
(C) A is true but R is false.	(D) A is false but R is true.

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2 marks Short answer

State the quadrant or the axis on which each point lies: (i) (-5, 0); (j) (0, -7); (k) (9, -1); (l) (-5, 0); (m) (-3, 0).

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(i) negative x-axis; (j) negative y-axis; (k) Quadrant IV; (l) negative x-axis; (m) negative x-axis

3 marks Short answer

A circle has its centre at the origin and passes through the point (12, -16). Find its radius, and state whether (10, 3) lies inside, on, or outside the circle.

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Radius = 20. For (10, 3): 10² + 3² = 109 < 400, so it lies inside the circle.

5 marks Long answer

The points A(x, y), B(-2, -2) and C(7, 7) are such that B is the midpoint of AC. Find A, and hence show that AB = BC.

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A = (2(-2) − 7, 2(-2) − 7) = (-11, -11). AB² = BC² = 162, so AB = BC.

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 9 Mathematics, board-pattern, with a fresh answer key every time.

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