If ' m 1 ' and ' m 2 ' , m 1 > m 2 are the slopes of the lines represented by 5 x 2 - 8 x y + 3 y 2 = 0 , then m 1 : m 2 equals

Step-by-step solution

Given that ' m 1 ' and ' m 1 ' , m 1 > m 2 are the slopes of the lines represented by 5 x 2 - 8 x y + 3 y 2 = 0 . Given pair of lines passes through origin. Let 3 y - m 1 x = 0 ,   3 y - m 2 x = 0 are two lines represented by given equation. ⇒ 3 y - m 1 x 3 y - m 2 x   =   5 x 2 - 8 x y + 3 y 2 ⇒ 3 y 2 - x y 3 m 1 + m 2 + m 1 m 2 x 2 = 5 x 2 - 8 x y + 3 y 2 By comparing coefficients of x 2 ,   y 2 ,   x y on both sides m 1 + m 2   = 8 3 - - - - ( i ) , &