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

A

`y= pm x pm sqrt(b^2-a^2)`

B

`y= pm x pm (a^2 -b^2)`

C

`y= pm x pm sqrt(a^2-b^2)`

D

`y= pm x pm sqrt(a^2+b^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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