﻿ A line is drawn through the point P(3, 11) to cut the circle x2 + y2 = 9 at A and B. Then PA. PB is equal to : Kaysons Education

# A Line Is Drawn Through The Point P(3, 11) To Cut The Circle x2 + y2 = 9 At A and B. Then PA. PB is Equal To

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## Question

### Solution

Correct option is

121

From geometry we know PAPB = (PT)2 where PT is the length of the tangent from P to the circle.

Hence PAPB = (3)2 + (11)2 – 9  = 112 = 121.

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