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Quadratic Equation and Inequalities question

2012 · Shift 2 · Q37

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JEE Advanced
Mathematics
Quadratic Equation and Inequalities
2012 · Shift 2 · Q37

Quadratic Equation and Inequalities question

2012 · Shift 2 · Q37

JEE AdvancedMathematicsQuadratic Equation and InequalitiesMCQ+3 / −1

Let

\alpha

(a) and

\beta

(a) be the roots of the equation

(\sqrt[3]{1 + a} - 1){x^2} + (\sqrt {1 + a} - 1)x + (\sqrt[6]{1 + a} - 1) = 0

where

a \gt - 1

. Then

\mathop {\lim }\limits_{a \to {0^ + }} \alpha (a)

and

\mathop {\lim }\limits_{a \to {0^ + }} \beta (a)

are

A
$- {5 \over 2}$
B
$- {1 \over 2}$
C
$- {7 \over 2}$
D
$- {9 \over 2}$

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