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The tangent at an extremity (in the first quadrant) of latus rectum of the hyperbola `x^2/4-y^2/5=1` meets `x`-axis and `y`-axis at `A` and `B` respectively. Then `(OA)^2- (OB)^2,` where `O` is the origin, equals:

A

`-20/9`

B

`16/9`

C

4

D

`-4/3`

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