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Definite Integration question

2021 · 24 Feb · Shift 2 · Q28

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 24 Feb · Shift 2 · Q28

Definite Integration question

2021 · 24 Feb · Shift 2 · Q28

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f'(x)

e

0 for all x

\in

R. If

\left| {\begin{matrix} {f(x)} & {f'(x)} \\ {f'(x)} & {f''(x)} \\ \end{matrix} } \right|

= 0, for all x

\in

R, then the value of f(1) lies in the interval :

A
(0, 3)
B
(9, 12)
C
(3, 6)
D
(6, 9)

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