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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

are three positive numbers and has the greatest value . Then

Answer: (B)

Solution

*(Intended question: , or more generally is fixed.)* Apply AM ≥ GM to the four positive numbers :

Missing argument for \frac\frac{a+b+\frac c2+\frac c2}4\ ⇒\ (Missing argument for \frac\frac{a+b+c}Missing argument for \frac\frac{abc^2}4\ ⇒\ .

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Question ID VK-107836