circle

Question: The angle between the tangents from $(\alpha ,\beta )$ to the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ , is

1) ${{\tan }^{-1}}\left( \frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}} \right)$

2) ${{\tan }^{-1}}\left( \frac{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}}{a} \right)$

3) $2{{\tan }^{-1}}\left( \frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}} \right)$

4) None of these

Solution:

Explanation: No Explanation

Tangent and normal to a circle

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