JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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a x^3+b y^3+c x^2 y+d x y^2=0

represents three distinct straight lines, such that each bisects the angle between the other two, then which of the following is true?

View answer and explanation

Correct option: A

3 b+c=0

Option B (

3 a+d=0

) is correct because it represents the condition for the three distinct lines to bisect the angles between each other, derived from the relationship between the roots and coefficients of the cubic equation.

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