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Position of a Line W.R.T Hyperbola

If from any p...

Question

If from any point on the circle $x^{2} + y^{2} = a^{2}$ , tangents are drawn to the circle $x^{2} + y^{2} = b^{2} (a > b)$ then the angle between tangents is

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Solution

The correct option is C
$s i n \frac{θ}{2} = \frac{b}{a} \Rightarrow θ = 2 s i n^{- 1} (\frac{b}{a})$

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