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If tangents PA and… (Class 10 Maths Basic SQP 2026-27, Q17)

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MathsCBSE Class 10 · Basic · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 17

From the official CBSE sample question paper for 2026-27, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQCircles

If tangents PA and PB from a point P to a circle with centre O and respective point of contacts as A and B, are inclined to each other at angle of , then is equal to

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

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

Join OA and OB. What angle does a radius make with a tangent?

Hint 2

Use the angle sum of quadrilateral OAPB.

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. [tangent ⟂ radius]. The angles of quadrilateral OAPB add up to .

  2. . Option (D).

    1 mark

Answer: 100°, option (D)

Where the marks are

  • Uses radius ⟂ tangent and the angle sum of a quadrilateral to get 100° (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 2026-27 (Basic): 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.