# 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 :

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

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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.