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A line is drawn through the point P(3,11...

A line is drawn through the point `P(3,11)` to cut the circle `x^(2)+y^(2)=9` at A and B. Then `PA.PB` is equal to

A

9

B

121

C

205

D

139

Text Solution

Verified by Experts

The correct Answer is:
B
Let `S_(1)-=x^(2)+y^(2)=9`
Then `PA.PB=sqrt(S_(1))^(2)`
`=(sqrt((3)^(2)+(11)^(2)-9))^(2)`
`=121`
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