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Pair of bisectors of angles - class-XI
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If the line y = mx is one of the bisector of the lines $x^2 + 4xy - y^2 = 0$, then the value of no ___________.
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A
$\frac{\sqrt{5} - 1}{2}$
💡 Explanation:
The angle bisectors of the pair of lines ax^2 + 2hxy + by^2 = 0 are given by (x^2 - y^2)/(a - b) = xy/h. Substituting the coefficients from x^2 + 4xy - y^2 = 0, we find the slopes of the bisectors.