Question
If one of the lines of my2+ (1 − m2)xy − mx2 = 0 is a bisector of the angle between the lines xy = 0, then m is
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−1/2
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-2
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1
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2
Solution
C.
1
Equation of bisectors of lines xy = 0 are y = ± x
put y = ± x in my2+ (1 − m2)xy − m = 0,
we get (1 − m2) x2 = 0
⇒ m = ± 1