If the equation 3 x^2-k x y-3 y^2=0 represents the bisectors of angles between the lines x^2-3 x y-4 y^2=0 , then value of k is

Step-by-step solution

We have x^2-3 x y-4 y^2=0 and comparing it with standard equation, we write A =1, H = -3 2 , ~B =-4 Equation of bisector of angle of this line is aligned & x^2-y^2 A-B = x y H x^2-y^2 1+4 = x y ( -3 2 ) & -3 x^2+3 y^2=10 x y 3 x^2+10 x y-3 y^2=0 aligned Comparing with given equation, we get k =-10