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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. 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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    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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