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Question

Mathematics Question on Straight lines

If one of the lines of my2+(1m2)xymx2=0my^2 + (1 - m^2)xy - mx^2 = 0 is a bisector of the angle between the lines xy=0xy = 0, then mm is

A

1/2-1/2

B

2-2

C

11

D

22

Answer

11

Explanation

Solution

Equation of bisectors of lines xy=0xy = 0 are y=?xy = ? x put y=?xy = ? x in my2+(1m2)xymx2=0my^2 + (1 - m^2)xy - mx^2 = 0, we get (1m2)x2=0(1 - m^2) x^2 = 0 ?m=?1.? m = ? 1.