JEE Main Mathematics question

Two of the lines represented by the equation ay^4+bxy^3+cx^2y^2+dx^3y+ex^4=0 will be perpendicular, then

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

Putting , the slopes satisfy am^4+bm^3+cm^2+dm+e=0, and two perpendicular lines mean two roots with product . Eliminating the other two roots gives the condition

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Question ID VK-024304