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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Let the equation of the pair of lines, y=pxy = px and y=qxy = qx can be written as (y−px)(y−qx)=0(y - px)(y - qx) = 0 Then, the equation of the pair of the angle bisectors of the line x2−4xy−5y2=0{x^2} - 4xy - 5{y^2} = 0 is
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Correct option: C
x2+3xy−y2=0{x^2} + 3xy - {y^2} = 0
Option C (x2+3xy−y2=0{x^2} + 3xy - {y^2} = 0) is correct because it's the equation of the angle bisectors derived from the given pair of lines using the standard formula.

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