Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f'(x) ≠ 0 for all x R. If | f(x) f'(x) f'(x) f''(x) | = 0, for all x R, then the value of f(1) lies in the interval:

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q3394

JEE Main 202124 Feb, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

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

\ne

0 for all x

\in

R. If

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

= 0, for all x

\in

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

JEE Main 2021 Integral Calculus Question with Solution (24 Feb Evening shift, Q3394) | JEE Arc