Let alpha (a) beta (a) be the roots of t...

Let `alpha (a) beta (a)` be the roots of the equations : `(root(3)(1+a) -1)x^(2) + (sqrt(1 + a) - 1)x + (root(6)(1 + a) - 1) = 0`, where `a gt - 1`. Then `lim_(a rarr 0^(+)) alpha (a) and lim_(a rarr 0^(+)) beta(a)` are :

A

`-5/2` and 1

B

`-1/2` and -1

C

`-7/2` and 2

D

`-9/2` and 3

Verified by Experts

The correct Answer is:

C

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