If the slope of one line of the pair of lines 2 x^2+h x y+6 y^2=0 is thrice the slone of the other line, then h =

Step-by-step solution

2 x^2+h x y+6 y^2=0 Comparing with a x^2+2 h x y+b y^2=0a=4, b=12 Let m₁ and m₂ be the slopes We know, m₁ m₂= a b = 1 3 Also m₁=3 m₂ 3 m₁^2= 1 3 m₁= 1 3 And m₁+m₂=- 2 h b 4 m₁= -2 h 12 h= 8