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From any point on the hyperbola (x^2)/(a...

From any point on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` , tangents are drawn to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=2.` The area cut-off by the chord of contact on the asymptotes is equal to `a/2` (b) `a b` (c) `2a b` (d) `4a b`

A

`ab//2`

B

`ab`

C

`2ab`

D

`4ab`

Text Solution

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The correct Answer is:
D
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