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Mathematics · 2019

JEE Main · 8 April 2019, Shift 1 · Q72

Let f:[0,2] → R be a twice differentiable function such that f^′ ′(x)>0, for all x ∈(0,2). If φ(x)=f(x)+f(2-x), then φ is:

Let $\displaystyle f:[0,2] \rightarrow \mathbf{R}$ be a twice differentiable function such that $\displaystyle f^{\prime \prime}(x)>0$, for all $\displaystyle x \in(0,2)$. If $\displaystyle \phi(x)=f(x)+f(2-x)$, then $\displaystyle \phi$ is :
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.