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Previous Year Question (PYQs)
1
If the two pair of lines $X^2 - 2mXY - Y^2 = 0$ and $X^2 - 2nXY - Y^2 = 0$ are such that one represents the bisector of the angles between the other, then:
Solution
Slopes of first pair: m ± √(m² + 1)
Slopes of second pair: n ± √(n² + 1)
Condition for angle bisector of two homogeneous pair of lines: mn + 1 = 0
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