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PQ ∥ BC. If AP/PB = 4/13 and AC… (Class 10 Maths 2025, Q8)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 8

Set in the CBSE Class 10 board exam of 2025, paper 30/2/1, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQTriangles

In the given figure, . If and cm, then the length of AQ is :

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

Figure in the paper: Triangle ABC with apex A at the top, B at bottom-left and C at bottom-right. P lies on AB and Q lies on AC, with segment PQ drawn parallel to base BC. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 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 divides the other two sides in the same ratio.

Hint 2

If , what fraction of AC is AQ?

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 . So .

    ½ mark

  2. cm. Option (D).

    ½ mark

Answer: 4.8 cm, option (D)

Where the marks are

  • Applies BPT to get cm, option (D) (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 paper2025 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.