CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
You are here
CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at August 6, 2026 by Teachoo
This question is similar to CBSE-Class-10-Sample-Paper-for-2024-Boards---Maths-Standard/
Please check the question here
![[Sample Paper Class 10] In figure, a tangent has been drawn at point P - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard](https://cdn.teachoo.com/8387a609-2a11-4373-944b-c3f27fa1f0e0/slide14.jpg)
Transcript
Question 7 In the given figure, a tangent has been drawn at a point 𝑃 on the circle centred at 𝑂. If ∠TPQ=110^∘ then ∠POQ is equal to (A) 110^∘ (B)70^∘ (C) 140^∘ (D) 55^∘We need to find ∠POQ We know that Tangent at any point in the circle is perpendicular to radius at the point of contact So, PT ⊥ OP ∴ ∠ OPT = 90° Now, ∠OPT = ∠QPT + ∠QPO 110° = 90° + ∠QPO ∴ ∠QPO = 20° Also, Since OP = OQ ∴ ∠QPO = ∠PQO So, ∠QPO = ∠PQO = 20° In △P𝑂𝑄 ∠QPO + ∠POQ + ∠PQO = 180° (Both are radius) (Angles opposite to equal sides are equal) 20° + ∠POQ + 20 ° = 180° ∠POQ = 180° – 40° ∠POQ = 140° So, the correct answer is (C)
