The angle between the tangents from $(\alpha ,\beta )$to the circle ${x^2} + {y^2} = {a^2}$, is
The angle between the tangents from $(\alpha ,\beta )$to the circle ${x^2} + {y^2} = {a^2}$, is
- A
${\tan ^{ - 1}}\left( {\frac{a}{{\sqrt {{\alpha ^2} + {\beta ^2} - {a^2}} }}} \right)$
- B
${\tan ^{ - 1}}\left( {\frac{{\sqrt {{\alpha ^2} + {\beta ^2} - {a^2}} }}{a}} \right)$
- C
$2{\tan ^{ - 1}}\left( {\frac{a}{{\sqrt {{\alpha ^2} + {\beta ^2} - {a^2}} }}} \right)$
- D
None of these
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- [IIT 1979]
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