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Let \( f \) be a twice differentiable function on \( (1,6) \). If \( f(2)=8, f^{\prime}(2)=5, f^{\prime}(x) \geq 1 \) an…

Q1

Let \( f \) be a twice differentiable function on \( (1,6) \). If \( f(2)=8, f^{\prime}(2)=5, f^{\prime}(x) \geq 1 \) and \( f^{\prime \prime}(x) \geq 4 \), for all \( x \in(1,6) \), then


[JEE Main 2020, 4 Sep (Shift 1)]

a

\( f(5)+f '(5) \geq 28 \)

b

\( f^{\prime}(5)+f^{\prime \prime}(5) \leq 20 \)

c

\( f(5) \leq 10 \)

d

\( f(5)+f^{\prime \prime}(5) \leq 26 \)

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