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If `(a,1/a)` and `(b,1/b)` be the extremities of a chord on the hyperbola `xy = 1,` then line perpendicular to this chord will be equally inclined to the coordinate axes for (A) `a^2=b^2` (B) `a^2b^2=1` (C) `(a+b)^2=1` (D) none of these

A

`a ^(2) = b ^(2)`

B

`a ^(2)b ^(2) =1`

C

`(a+b)^(2)=1`

D

none of these

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