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A tangent to the hyperbola 4x^(2)-9y^(2)...

A tangent to the hyperbola `4x^(2)-9y^(2)=36` meets the axes at point A and B. Find the locus of midpoint of AB.

A

`9x^2+4y^2=169`

B

`4x^2-9y^2=121`

C

`4x^2+9y^2=121`

D

`9x^2-4y^2=169`

Text Solution

Verified by Experts

The correct Answer is:
D
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