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What values of x and y… (Class 10 Maths Basic 2026, Q10)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 10

Set in the CBSE Class 10 board exam of 2026, paper 430/3/1, section A, question 10, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q10 · 1 mark · MCQTriangles

What values of x and y will make similar to in the figures given below?

  1. (A)x = 6, y = 5
  2. (B)x = 5, y = 6
  3. (C)x = 6, y = 6
  4. (D)x = 12, y = 3·2

Figure in the paper: Left: triangle ABC with AB = 2 cm, AC = 3 cm, BC = 2.5 cm. Right: triangle PQR with PQ = y cm, PR = x cm, QR = 4 cm. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/3/1.

Hints

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

Hint 1

The order of letters in ΔABC ~ ΔQRP tells you which vertices correspond.

Hint 2

A corresponds to Q, B to R and C to P, so BC corresponds to RP and AC to QP.

Hint 3

The scale factor is QR/AB = 4/2 = 2, so multiply BC and AC by 2.

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. For the vertices correspond as A↔Q, B↔R, C↔P. So .

  2. . So cm and cm. The correct option is (B).

    1 mark

Answer: x = 5, y = 6, option (B)

Where the marks are

  • Matches corresponding sides using A↔Q, B↔R, C↔P and obtains x = 5, y = 6, option (B) (1 mark)

Revise the chapter

  • Chapter: Triangles (notes, formulas, where marks are lost and every past question)
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 430/3/1 (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.