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Directions: In question 20, a… (Class 10 Maths 2025, Q20)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/4/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Standard 2025: question 20

Set in the CBSE Class 10 board exam of 2025, paper 30/4/1, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedCircles

Directions: In question 20, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.

Assertion (A): Tangents drawn at the end points of a diameter of a circle are always parallel to each other.

Reason (R): The lengths of tangents drawn to a circle from a point outside the circle are always equal.

  1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
  2. (B)Both, Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of 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 2025 board paper, set 30/4/1.

Hints

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

Hint 1

What angle does a tangent make with the radius at the point of contact?

Hint 2

Is equal tangent lengths what makes the tangents parallel?

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. Both tangents are ⟂ to the same diameter [tangent ⟂ radius], so they are parallel: A true.

  2. R is a true theorem, but it does not explain A (A follows from tangent ⟂ radius). Option (B).

    1 mark

Answer: Option (B)

Where the marks are

  • Both true, R not the explanation (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 paper2025 board paper, set 30/4/1 (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.