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Limits Continuity and Differentiability question

2020 · 5 Sep · Shift 1 · Q35

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 5 Sep · Shift 1 · Q35

Limits Continuity and Differentiability question

2020 · 5 Sep · Shift 1 · Q35

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function

f\left( x \right) = \left\{ {\begin{matrix} {{k_1}{{\left( {x - \pi } \right)}^2} - 1,} & {x \le \pi } \\ {{k_2}\cos x,} & {x \gt \pi } \\ \end{matrix} } \right.

is twice differentiable, then the ordered pair (k1, k2) is equal to :

A
$\left( {{1 \over 2},-1} \right)$
B
(1, 1)
C
(1, 0)
D
$\left( {{1 \over 2},1} \right)$

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