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If TP and TQ are… (Class 10 Maths Basic SQP 2023-24, Q9)

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MathsCBSE Class 10 · Basic · Sample paper, session 2023-24 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2023-24: question 9

From the official CBSE sample question paper for 2023-24, section A, question 9, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q9 · 1 mark · MCQCircles

In figure, if TP and TQ are the two tangents to a circle with centre O so that , then is equal to

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

Figure in the paper: A circle with centre O. Points P and Q lie on the circle. T is an external point from which tangents TP and TQ are drawn touching the circle at P and Q. The angle POQ = 110° is marked at the centre O. See it in the official paper.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.

Hints

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

Hint 1

What is the angle between a tangent and the radius at the point of contact?

Hint 2

The angles of quadrilateral OPTQ add up to .

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].

  2. In quadrilateral OPTQ, the angles add up to : , option (B).

    1 mark

Answer: , option (B)

Where the marks are

  • Uses tangent ⟂ radius and the angle sum of a quadrilateral to get (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 2023-24 (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.