If the pairs of straight lines (x^2-2 q x y-y^2=0 ) and (x^2-2 p x y-y^2=0 ) bisect the angles between each other, then which of the following is correct?

Step-by-step solution

It is given that the pair of straight lines (x^2-2 p x y-y^2=0 ) and (x^2-2 q x y-y^2=0 ) bisect, the angles between each other, then equations ( x^2-y^2 1-(-1) = x y -p ) and (x^2-2 q x y-y^2=0 ) represents same line, so (x^2+ 2 p x y-y^2=0 ) represents (x^2-2 q x y-y^2=0 ) on comparing, we get ( 2 p =-2 q ) ( p q+1=0 ) Hence, option (c) is correct.