If the sum of the slopes of the lines given by x²-4 p x y+8 y²=0 is three times their product, then p has the value

Step-by-step solution

Given, equation of line is x²-4 p x y+8 y²=0 On comparing with a x²+2 h x y+b y²=0 a=1, b=8,2 h=-4 p Given that, m₁+m₂=3 m₁ m₂ - 2 h b = 3 a b -2 h=3 a 4 p=3 a p= 3 a 4 p= 3 4 [ a=1]