If the slope of one of the lines given by a x^2+2 h x y+b y^2=0 is two times the other, then

Step-by-step solution

aligned & m ₁+ m ₂= -2 ~h ~b and m ₁+ m ₂= a b & m +2 ~m = -2 ~h ~b and m 2 ~m = a b & 3 ~m = -2 ~h ~b and 2 ~m ^2= a b & 2 ( -2 ~h 3 ~b )^2= a b & 8 ~h ^2=9 ab aligned