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The tangents drawn at the… (Class 10 Maths 2025, Q7)

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

CBSE Class 10 Mathematics Standard 2025: question 7

Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQCircles

The tangents drawn at the extremities of the diameter of a circle are always :

  1. (A)parallel
  2. (B)perpendicular
  3. (C)equal
  4. (D)intersecting

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.

Hints

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

Hint 1

Think about the angle between a tangent and the radius at the point of contact.

Hint 2

Both tangents make with the same diameter.

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. A tangent is perpendicular to the radius at the point of contact. So both tangents at the ends of a diameter are perpendicular to that same diameter.

  2. Two lines perpendicular to the same line are parallel. So the tangents are parallel, which is option (A).

    1 mark

Answer: Parallel, option (A)

Where the marks are

  • Uses tangent ⟂ radius to conclude the tangents are parallel, 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 paper2025 board paper, set 30/1/1 (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.