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Tangents are drawn to the hyperbola x^2/...

Tangents are drawn to the hyperbola `x^2/9-y^2/4=1` parallet to the sraight line `2x-y=1.` The points of contact of the tangents on the hyperbola are (A) `(2/(2sqrt2),1/sqrt2)` (B) `(-9/(2sqrt2),1/sqrt2)` (C) `(3sqrt3,-2sqrt2)` (D) `(-3sqrt3,2sqrt2)`

A

`((9)/(2sqrt(2)), (1)/(sqrt(2)))`

B

`((-9)/(2sqrt(2)), (-1)/(sqrt(2)))`

C

`(3sqrt(3), -2sqrt(2))`

D

`(-3sqrt(3), 2sqrt(2))`

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A, B
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