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If the angle between the asymptotes of hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` is `120^0` and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be `x^2+y^2=6` (b) `x^2+y^2=9` `x^2+y^2=3` (d) `x^2+y^2=18`

A

`x^(2)+y^(2)=3`

B

`x^(2))+y^(2)=6`

C

`x^(2)+y^(2)=9`

D

`x^(2)+y^(2)=18`

Text Solution

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The correct Answer is:
D
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