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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`

Text Solution

Verified by Experts

The correct Answer is:
B
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