Let f: [- 2 , 2 ] R be a continuous function such that f(0) = 1 and _0^ 3 f(t) ,dt = 0 Then which of the following statements is (are) TRUE ?

JEE Advanced 2021 Mathematics question

Let be a continuous function such that

f(0) = 1 and f(t) dt = 0

Then which of the following statements is (are) TRUE ?

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

Let ; and . (A) has , so by Rolle's theorem for some – TRUE. (B) $ψ(x) =

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Question ID VK-033937