Question 9 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

If O is centre of a circle and Chord PQ makes an angle 50° with the tangent PR at the point of contact P, then the angle subtended by the chord at the centre is

(a) 130° (b) 100°

(c) 50° (d) 30°

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Transcript

If O is centre of a circle and Chord PQ makes an angle 50° with the tangent PR at the point of contact P, then the angle subtended by the chord at the centre is (a) 130° (b) 100° (c) 50° (d) 30° Thus, ∠RPQ + ∠QPO = 90° ∠50 ° + ∠QPO = 90° ∴ ∠QPO = 40° Also, Since OP = OQ ∴ ∠QPO = ∠PQO So, ∠QPO = ∠PQO = 40° In △P𝑂𝑄 ∠QPO + ∠POQ + ∠PQO = 180° 40° + ∠POQ + 40 ° = 180° ∠POQ = 180° – 80° ∠POQ = 100° So, the correct answer is (b)

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Davneet Singh

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