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A tangent to the hyperbola (x^(2))/( 4) ...

A tangent to the hyperbola `(x^(2))/( 4) -(y^(2))/( 2) =1 ` meets x-axis at P and y-axis at Q . Lines PR and QR are drawn such that OPRQ is a rectangle
(where O is the origin ) then R lies on

A

` (4)/( x^(2)) +(2)/(y^(2))`

B

` (2)/(x^(2)) - (4)/( y^(2))=1`

C

` (2)/(x^(2))+ (4)/(y^(2)) =1`

D

` (4)/(x^(2)) -(2)/(y^(2))=1 `

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
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  12. Statement 1: Equation of tangents to the hyperbola 2x^(2) -3y^(2) =6 ...

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