MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 7

From the official CBSE sample question paper for 2026-27, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQCoordinate Geometry

The point which lies on the perpendicular bisector of the line segment joining the points $A (- 3, - 4)$ and $B (3, 4)$ is:

(A) $(0, 0)$
(B) $(0, 3)$
(C) $(3, 0)$
(D) $(0, 4)$

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

Open one hint at a time and try again before the next.

Hint 1

Which special point of AB always lies on its perpendicular bisector?

Hint 2

Use the mid-point formula.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

The perpendicular bisector of AB passes through the mid-point of AB.
Mid-point $= (\frac{- 3 + 3}{2}, \frac{- 4 + 4}{2}) = (0, 0)$ . So $(0, 0)$ lies on it, which is option (A). (The other options are not equidistant from A and B.)
1 mark

Answer: (0, 0), option (A)

Where the marks are

Identifies that the mid-point lies on the perpendicular bisector and finds (0, 0) (1 mark)

Revise the chapter

Chapter: Coordinate Geometry (notes, formulas, where marks are lost and every past question)

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2026-27 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard sample paper 2026-27: question 7

Hints

Step-by-step solution

Revise the chapter

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