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Yash Singh
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Asked: 2020-10-30T03:38:23+00:00 In:

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. Length PQ is :

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0%(A) 12 cm
0%(B) 13 cm
0%(C) 8.5 cm
100%(D)√119 cm. ( 2 voters )
Based On 2 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 10.1
Page No:221
Questions No:3

2020-2021cbsechapter 10circlesclass10mathematicsncert
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    2 Answers

    1. 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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    2. Best Answer
      A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. Length PQ is :

      In ΔOPQ, angle P is right angle. [Since radius is perpendicular to tangent]
      Using Pythagoras theorem, OQ² = PQ² + OP²
      ⇒ 12² = PQ² + 5²
      ⇒ 144 = PQ² + 25
      ⇒ PQ² = 144 – 25 = 119
      ⇒ PQ = √119
      Hence, the option (D) is correct.

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