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Yash Singh
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Asked: 2020-10-30T03:37:02+00:00 In:

In Fig. 10.11, if TP and TQ are the two tangents to a circle with Centre O so that angle POQ = 110°, then angle PTQ is equal to

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Poll Results

0%(A) 60°
100%(B) 70° ( 7 voters )
0%(C) 80°
0%(D) 90°
Based On 7 Votes

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NCERT Solutions for Class 10 Maths Chapter 10
Important NCERT Questions
Circles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 10.2
Page No:213
Questions No:2

2020-2021cbsechapter 10circlesclass10mathematicsncert
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    2 Answers

    1. Best Answer
      In Fig. 10.11, if TP and TQ are the two tangents to a circle with Centre O so that angle POQ = 110°, then angle PTQ is equal to

      Given: TQ and TP are two tangents of the circle.
      We know that the radius is perpendicular to tangent. Therefore, OP ⊥TP and OQ TQ.
      ⇒ ∠OPT = 90° and ∠OQT = 90°
      In quadrilaterral POQT, OQT + OQT + PTQ = 360°
      ⇒ 90° + 110° + 90° + ∠PTQ = 360°
      ⇒ ∠PTQ = 360° – 290° = 70
      Hence, the option (B) is correct.

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    2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-10/

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