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The equations to the common tangents to ...

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(b^(2)-a^(2))`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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