If pairs of straight lines (x^2-2 p x y-y^2=0 ) and (x^2-2 q x y-y^2=0 ) be such that each pair bisects the angle between the other pair, then

Step-by-step solution

Equation of angle bisector for ( array rlrl a x^2+2 h x y+b y^2 & =0 & x^2-y^2 a-b & = x y h array ) and for (x^2-2 p x y-y^2=0 ) ( x^2-y^2 1-(-1) = x y -p x^2-y^2+ 2 x y p =0 ) Given equation of angle bisector is (x^2-2 q x y+y^2=0 ) On comparing ( 2 P =-2 q p q=-1 )