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A tangent to the curve 9b^(2)x^(2)-4a^(2...

A tangent to the curve `9b^(2)x^(2)-4a^(2)y^(2)=36a^(2)b^(2)` makes intercepts of unit length on each of the coordinate axes, then the point (a, b) lies on

A

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

B

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

C

`4x^(2)-9y^(2)=1`

D

`4x^(2)+9y^(2)=1`

Text Solution

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The correct Answer is:
C
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