JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

If one of the lines of is a bisector of the angle between the lines then is

Answer: (A),(D)

Solution

my^2+xy-m^2xy-mx^2=my(y-mx)+x(y-mx)=(y-mx)(my+x)=0. The lines are and . The bisectors of (the axes) are . - is a bisector iff . - is a bisector iff

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Question ID VK-108875