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The equations to the common tangents to the two hyperbolas `(x^(2))/(a^(2))-(v^(2))/(b^(2))=1 and (v^(2))/(a^(2))-(x^(2))/(b^(2))=1` are

A

`y=pmxpmsqrt(a^2+b^2)`

B

`y=pmxpm(a^2-b^2)`

C

`y=pmxpmsqrt(a^2-b^2)`

D

`y=pmxpmsqrt(b^2-a^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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