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XY QR, PQ/XQ = 7/3 and PR =… (Class 10 Maths 2026, Q22b)

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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 22(b)

Set in the CBSE Class 10 board exam of 2026, paper 30/2/1, 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 answerTriangles

In the given figure, XY || QR, and PR = 6·3 cm. Find the length of YR.

Figure in the paper: Triangle PQR with apex P at top. X lies on side PQ and Y lies on side PR; segment XY is drawn parallel to base QR (arrows marked on XY and QR to show parallel). See it in the official paper.

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

A line parallel to one side of a triangle divides the other two sides in the same ratio.

Hint 2

Whole side to lower part on PQ equals whole side to lower part on PR.

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. Since , by the Basic Proportionality Theorem . Adding 1 to both sides gives

    1 mark

  2. ½ mark

  3. cm

    ½ mark

Answer: YR = 2.7 cm

Where the marks are

  • Uses BPT to get (1 mark)
  • Substitutes the values (½ mark)
  • Gets YR = 2.7 cm (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Triangles, 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.