Suppose the slopes m₁ and m₂ of the lines represented by a x^2+2 h x y+b y^2=0 satisfy 3 (m₁-m₂ )-7=0 and m₁ m₂-2=0 . Then, which of the following is true?

Step-by-step solution

y-m₁ x=0 ...(i) y-m₂ x=0 ...(ii) (y-m₁ x ) (y-m₂ x )=0y^2- (m₁+m₂ ) x y+m₁ m₂ x^2=0 Now, a x^2+2 h x y+b y^2=0 ( a b ) x^2+ 2 h b x y+y^2=0 m₁ m₂= a b 2= a b a=2 b a 12 = b 6