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Limits Continuity and Differentiability question

2021 · 31 Aug · Shift 2 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 31 Aug · Shift 2 · Q26

Limits Continuity and Differentiability question

2021 · 31 Aug · Shift 2 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\alpha = \mathop {\lim }\limits_{x \to {\pi \over 4}} {{{{\tan }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}

and

\beta = \mathop {\lim }\limits_{x \to 0 } {(\cos x)^{\cot x}}

are the roots of the equation, ax2 + bx

-

4 = 0, then the ordered pair (a, b) is :

A
(1, $-$ 3)
B
( $-$ 1, 3)
C
( $-$ 1, $-$ 3)
D
(1, 3)

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