If sum of the slopes of the lines given by x 2 - 4 p x y + 8 y 2 = 0 is three times their product then p = …

Step-by-step solution

Given, pair of lines, x 2 - 4 p x y + 8 y 2 = 0 Which is in form of a x 2 + 2 h x y + b y 2 = 0 According to question, Sum of the slopes = 3 × product of the slopes ⇒ m 1 + m 2 = 3 × m 1 m 2 ⇒ - - 4 p 8 = 3 × 1 8 ⇒ 4 p = 3 ⇒ p = 3 4