The combined equation of the two lines a x + b y + c = 0 and a ' x + b ' y + c ' = 0 can be written as a x + b y + c a ' x + b ' y + c ' = 0 . The equation of the angle bisectors of the lines represented by the equation 2 x 2 + x y - 3 y 2 = 0 is

Step-by-step solution

Equation of the pair of angle bisectors for the homogenous equation a x 2 + 2 h x y + b y 2 = 0 is given as x 2 - y 2 a - b = x y h Here, a = 2 ,   h = 1 2 and b = - 3 Equation will become: x 2 - y 2 2 - - 3 = x y 1 2 ⇒ x 2 - y 2 = 10 x y ⇒ x 2 - y 2 - 10 x y = 0