Trigonometric EquationHard
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
Options
A.- 1/2
B.- 2
C.1
D.2
Solution
Equation of bisectors of lines xy = 0 are y = ± x
put y = ± x in my2 + (1 - m2)xy - mx2 = 0, we get (1 - m2) x2 = 0
⇒ m = ± 1.
put y = ± x in my2 + (1 - m2)xy - mx2 = 0, we get (1 - m2) x2 = 0
⇒ m = ± 1.
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