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Prove that the angle between the tangent...

Prove that the angle between the tangents from `(alpha,beta)` to the circle `x^2+y^2=a^2` is `2tan^(-1)(a/(sqrt(S_1)))` , where `S_1=alpha^2+beta^2-a^2`

A

`tan^(-1)((a)/( sqrt(S_(1))))`

B

`-2tan^(-1)((a)/( sqrt(S_(1))))`

C

`2tan^(-1)(( sqrt(S_(1)))/(a))`

D

None of these

Text Solution

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The correct Answer is:
b
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