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Previous Year Question (PYQs)



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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