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Tangents to the hyperbola x^(2)/a^(2)-y^...

Tangents to the hyperbola `x^(2)/a^(2)-y^(2)/b^(2)=1` makes angles `theta_(1), theta_(2)` with the transverse axis. If `theta_(1), theta_(2)` are complementary then the locus of the point of intersection of tangents is

A

`x^(2)-y^(2)=a^(2)+b^(2)`

B

`x^(2)+y^(2)=a^(2)-b^(2)`

C

`x^(2)-y^(2)=a^(2)-b^(2)`

D

`x^(2)+y^(2)=a^(2)+b^(2)`

Text Solution

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The correct Answer is:
A
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