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Assertion (A): Radius is the… (Class 10 Maths 2026, Q19)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/3/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Standard 2026: question 19

Set in the CBSE Class 10 board exam of 2026, paper 30/3/1, section A, question 19, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q19 · 1 mark · Assertion-reasonCompetency-basedCircles

Assertion (A): Radius is the smallest distance of a tangent from the centre of the circle. Reason (R): Radius is perpendicular to the tangent.

  1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  3. (C)Assertion (A) is true, but Reason (R) is false.
  4. (D)Assertion (A) is false, but Reason (R) is true.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/3/1.

Hints

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

Hint 1

What is the shortest distance from a point to a line?

Hint 2

Does the perpendicularity in R explain why the radius is the shortest?

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. (R) is true: the tangent at any point is perpendicular to the radius through the point of contact.

  2. (A) is true: the perpendicular is the shortest segment from a point to a line. Since the radius is perpendicular to the tangent, it is the shortest distance from the centre. So (R) correctly explains (A), which is option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Chooses option (A) (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 paper2026 board paper, set 30/3/1 (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.