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If the points A(2, 3)… (Class 10 Maths Basic 2023, Q22B)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2023: question 22(B)

Set in the CBSE Class 10 board exam of 2023, paper 430/4/1, section B, question 22(B), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22(B) · 2 marks · Very short answerCoordinate Geometry

If the points , , and are the vertices of a parallelogram , find the value of .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/4/1.

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-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. Diagonals of a parallelogram bisect each other, so mid-point of AC = mid-point of BD: , i.e.

    1 mark

  2. 1 mark

Answer: p = 13

Where the marks are

  • Equates mid-points of diagonals AC and BD (1 mark)
  • Solves to get (1 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 paper2023 board paper, set 430/4/1 (Basic): 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.