If one of the lines of `my^(2) + (1 - m^(2))xy - mx^(2) = 0` is a bisector of the angle between the lines xy = 0, then m is

Options

A. 1
B. 2
C. `-1//2`
D. -1

Answer

1, 4

Explanation

Here , `my(y-mx)+x(y-mx)=0`
or `(y-mx)(my+x)=0`
So the lines are `y=mxory=(-1//m)x`. The bisectors between the lines `xy=0` are` y=xandy=-x`. Therefore , `m=1,-1`.