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JEE Math Practice Question

Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x $$ \in $$ (a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c $$ \in $$ (a, b), $${{f(c) - f(a)} \over {f(b) - f(c)}}$$ is greater than :

  1. A.1
  2. B.$${{b - c} \over {c - a}}$$
  3. C.$${{b + a} \over {b - a}}$$
  4. D.$${{c - a} \over {b - c}}$$

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