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At the point of intersection of the rectangular hyperbola `xy = c^(2)` and the parabola `y^(2) = 4ax` tangents to the rectangular hyperbola and the parabola make an angle `theta` and `phi` respectively with x-axis, then

A

`theta=tan^(-1)(-2tan phi)`

B

`phi=tan^(-1)(-2tan theta)`

C

`theta=(1)/(2)tan^(-1)(-tan phi)`

D

`phi=(1)/(2)tan^(-1)(-tan theta)`

Text Solution

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The correct Answer is:
A
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