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A quadrilateral ABCD is… (Class 10 Maths SQP 2025-26, Q4)

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MathsCBSE Class 10 · Standard · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2025-26: question 4

From the official CBSE sample question paper for 2025-26, section A, question 4, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q4 · 1 mark · MCQCircles

A quadrilateral ABCD is drawn to circumscribe a circle. If BC=7cm, CD=4cm and AD=3cm, then the length of AB is

  1. (A)3cm
  2. (B)4cm
  3. (C)6cm
  4. (D)7cm

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

Tangents drawn to a circle from the same external point are equal.

Hint 2

For a circumscribed quadrilateral, the sums of opposite sides are equal.

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 a quadrilateral circumscribing a circle, , because tangents from an external point are equal.

  2. Substituting: , so cm. The answer is option (C).

    1 mark

Answer: AB = 6 cm, option (C)

Where the marks are

  • Uses and gets AB = 6 cm, option (C) (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Circles, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2025-26 (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.