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PQ ∥ YZ such that XP : PY = 2… (Class 10 Maths 2026, Q15)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 15

Set in the CBSE Class 10 board exam of 2026, paper 30/5/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQTriangles

In the given figure, PQ YZ such that XP : PY = . If PQ = 5 cm, then YZ equals

  1. (A) cm
  2. (B) cm
  3. (C) cm
  4. (D) cm

Figure in the paper: Triangle XYZ with apex X at top. P lies on side XY and Q lies on side XZ. PQ is drawn parallel to the base YZ (arrow marks on PQ and YZ show parallel). Points labelled X, P, Y, Q, Z. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/5/1.

Hints

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

Hint 1

The small triangle XPQ is similar to XYZ.

Hint 2

XY = XP + PY, so XP : XY = 2 : 5.

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. (AA), so .

  2. cm, option (A).

    1 mark

Answer: 12.5 cm, option (A)

Where the marks are

  • Uses similarity with ratio to get 12.5 cm (1 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 30/5/1 (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.