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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesAngle bisectorsMedium2 minQB

MathematicsMediummultiple choice

If the line $y = m x$ is one of the bisectors of the lines $x^{2} + 4 x y - y^{2} = 0$ , then the value of $m$ is equal to

Options:(select one or more)

Answer:

A, C

Solution:

The bisectors satisfy $\frac{x ^{2} - y ^{2}}{1 - ( - 1 )} = \frac{x y}{2}$ , i.e. $x^{2} - y^{2} = x y$ . Put $y = m x$ : $m^{2} + m - 1 = 0$ , so $m = \frac{- 1 \pm 5}{2}$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Angle bisectors

⏱ 2mℹ️ Source: QB

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