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Let ƒ : [0, 2] $$ \to $$ R be a twice differentiable function such that ƒ''(x) > 0, for all x $$ \in $$ (0, 2). If $$\phi $$(x) = ƒ(x) + ƒ(2 – x), then $$\phi $$ is :

JEE · Math · previous-year question

  1. A.decreasing on (0, 2)
  2. B.decreasing on (0, 1) and increasing on (1, 2)
  3. C.increasing on (0, 2)
  4. D.increasing on (0, 1) and decreasing on (1, 2)

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