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Angle between tangents drawn to circle ...

Angle between tangents drawn to circle `x^2+y^2=20` from the point `(6, 2)` is

A

`pi//2`

B

`pi`

C

`pi//4`

D

`2pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `S=x^(2)+y^(2)-20`
At point `(6,2), S_(1) =6^(2)+2^(2)-20=20`
`:. theta =2 "tan"^(-1)(r)/(sqrt(S_(1)))=2 "tan"^(-1)(sqrt(20))/(sqrt(20))=(pi)/(2)`
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