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Q#1 Calculus GATE EC 2025 MCQ +2 marks -0.66 marks

Consider a non-negative function  which is continuous and bounded over the interval . Let  and  denote, respectively, the maximum and the minimum values of  over the interval.

Among the combinations of  and  given below, choose the one(s) for which the inequality   is guaranteed to hold.

Explanation:

Given:  for

 

 

 

 

 

Thus, m , also

And,  , also

 

Given that

Hence, option (A) is correct.

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