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The tangent at an extremity (in the firs...

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, equal to

A

`-20/9`

B

`16/9`

C

4

D

`-4/3`

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The correct Answer is:
A
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