Statement 1: If 3x+4y=5, then the greatest value of x^2y^3 is 3 16 . Statement 2: Greatest value occurs when 9x=8y.

JEE Main Mathematics question

Statement 1: If , then the greatest value of is . Statement 2: Greatest value occurs when .

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

For positive apply AM-GM to the five numbers , whose sum is : . This gives , so

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Question ID VK-021654