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From a point P outside a circle with cen...

From a point P outside a circle with centre at C, tangents PA and PB are drawn such that `1/(CA)^2+ 1/(PA)^2=1/16`, then the length of chord AB is

A

6

B

8

C

4

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
`tan theta = (r )/(PA)`
Given, `(1)/(r^(2)) +(1)/(PA^(2)) =(1)/(16)`

`rArr (cot^(2) theta+1)/((PA)^(2)) =(1)/(16)`
`rArr PA sin theta = 4 = x rArr 2x =8`.
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