If (ax^2+c )y+ (dx^2+c' )=0 and x is a rational function of y and ac is negative, then

JEE Main Mathematics question

If and is a rational function of and is negative, then

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

Answer: (B)

Solution

Reading the second bracket as : , so . For to be a rational function of , the right side must be the square of a rational function, which forces the ratio to be constant, i.e.

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Question ID VK-013735