CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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

Last updated at June 23, 2025 by

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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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo