Question 9 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards
Last updated at Aug. 4, 2023 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°
The rest of the post is locked. Join Teachoo Black to see the full post.
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)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.
Please login to view more pages. It's free :)
Teachoo gives you a better experience when you're logged in. Please login :)
Solve all your doubts with Teachoo Black!
Teachoo answers all your questions if you are a Black user!