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

If one of the lines of `m y^2+(1-m^2)x y-m x^2=0` is a bisector of the angle between the lines `x y=0` , then `m` is 1 (b) 2 (c) `-1/2` (d) `-1`

A

`-(1)/(2)`

B

`-2`

C

`+-1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
Equation of bisectors of lines xy=0 are `y=+-x`
Put `y=+-x` in
`my^(2)+(1-m^(2))xy-mx^(2)=0`, we get
`mx^(2)+-(1-m^(2))x^(2)-mx^(2)=0`
`implies(1-m^(2))x^(2)=0`
`impliesm=+-1`.
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