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Two curves a(i)x^(2) + b(i)y^(2)= 1, i=1...

Two curves `a_(i)x^(2) + b_(i)y^(2)= 1, i=1, 2` where `a_(1) ne a_(2), b_(1) ne b_(2), a_(1), a_(2), b_(1), b_(2) ne 0` may intersect orthogonally If ______

A

`a_(1)a_(2)= b_(1)b_(2)`

B

`a_(1)^(-1) -a_(2)^(-1) = b_(1)^(-1)- b_(2)^(-1)`

C

`a_(1)^(-1) + a_(2)^(-1) + b_(2)^(-1)`

D

`a_(1)b_(2)=a_(2)b_(1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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