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If the points A(4, 5), B(m, 6)… (Class 10 Maths 2026, Q23)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/2/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2026: question 23

Set in the CBSE Class 10 board exam of 2026, paper 30/2/1, section B, question 23, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q23 · 2 marks · Very short answerCoordinate Geometry

If the points A(4, 5), B(m, 6), C(4, 3) and D(1, n) taken in this order are the vertices of a parallelogram ABCD, then find the values of m and n.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/2/1.

Hints

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

Hint 1

What property do the diagonals of a parallelogram have?

Hint 2

Mid-point of AC must equal mid-point of BD; compare x- and y-coordinates.

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.

  1. The diagonals of a parallelogram bisect each other, so mid-point of AC = mid-point of BD:

    1 mark

  2. ½ mark

  3. ½ mark

Answer: m = 7, n = 2

Where the marks are

  • Equates the mid-points of diagonals AC and BD (1 mark)
  • Finds m = 7 (½ mark)
  • Finds n = 2 (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Coordinate Geometry, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/2/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.