Let α(a) and β(a) be the roots of the equation ( [3] 1 + a - 1 )x^2 + ( 1 + a - 1 )x + ( [6] 1 + a - 1 ) = 0 where a > -1. Then _ a 0^+ (a) and _ a 0^+ (a) are

JEE Advanced 2012 Mathematics question

Let α(a) and β(a) be the roots of the equation

( - + ( - 1)x + ( - 1) = 0 where a > -1.

Then and are

Answer: (B)

For small a, . Dividing the equation by a and letting , the coefficients tend to , , , so the

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Question ID VK-026108