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Let the equation of the pair of lines, \(y=p x\) and \(y=q x\), can be written as \((y-p x)(y-q x)=0\). Then the equatio…

Q1

Let the equation of the pair of lines, \(y=p x\) and \(y=q x\), can be written as \((y-p x)(y-q x)=0\). Then the equation of the pair of the angle bisectors of the lines \(x^{2}-4 x y-5 y^{2}=0\) is:

[JEE Main 2021, 25 Jul (Shift 2)]

a

\(x^{2}-3 x y+y^{2}=0\)

b

\(x^{2}+3 x y-y^{2}=0\)

c

\(x^{2}-3 x y-y^{2}=0\)

d

\(x^{2}+4 x y-y^{2}=0\)

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