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If one of the lines of my^(2)+(1-m^(2))x...

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

A

1

B

2

C

`-1//2`

D

-1

Text Solution

Verified by Experts

The correct Answer is:
1, 4
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`.
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