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Limits Continuity and Differentiability question

2005 · Shift 0 · Q64

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2005 · Shift 0 · Q64

Limits Continuity and Differentiability question

2005 · Shift 0 · Q64

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

\alpha

and

\beta

be the distinct roots of

a{x^2} + bx + c = 0

, then

\mathop {\lim }\limits_{x \to \alpha } {{1 - \cos \left( {a{x^2} + bx + c} \right)} \over {{{\left( {x - \alpha } \right)}^2}}}

is equal to

A
${{{a^2}{{\left( {\alpha - \beta } \right)}^2}} \over 2}$
B
0
C
$- {{{a^2}{{\left( {\alpha - \beta } \right)}^2}} \over 2}$
D
${{{{\left( {\alpha - \beta } \right)}^2}} \over 2}$

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