If one of the lines given by k x²+x y-y²=0 bisects the angle between the co-ordinate axes, then values of k are

Step-by-step solution

Given equation of lines is k x²+x y-y²=0 (-1) m ²+ m + k =0 is auxillary equation Since one line is angle bisector of coordinate axes, we write m= 1 . When m=1 , from auxillary equation, we get k=0 . When m=-1 , from auxillary equation, we get k=2 .