CBSE Class 10 Maths (Standard) 2023 · Paper 30/5/1 · Question 22

Circles 2 marks Hard

In the given figure,

P T

is a tangent to the circle centered at

O

O C

is perpendicular to chord

A B

. Prove that

P A \cdot P B = P C^{2} - A C^{2}

Tangent PT and secant through chord AB with perpendicular OC.

Answer

P A \cdot P B = P C^{2} - A C^{2}

(proved)

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