JEE Advanced Mathematics question

Mathematics Application of Derivatives JEE Advanced

Let be a non-constant twice differentiable function defined on such that and . Then,

(A) vanishes at least twice on Correct
(B)Correct
(C)Correct
(D)Correct

Answer: (A),(B),(C),(D)

Solution

Differentiating : .

- **(b)** Put : . ✓ - **(a)** From (1), . So vanishes at . By Rolle's theorem applied to on and

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Question ID VK-110679