The sum of two numbers is fixed. Then its multiplication is…

Maths Differentiation and Applications of Derivatives Maxima and Minima Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

The sum of two numbers is fixed. Then its multiplication is maximum, when

Each number is half of the sum

Each number is

and

respectively of the sum

Each number is

and

respectively of the sum

None of these

Text Solution

Verified by Experts

The correct answer is:

Suppose that two numbers are and .

Then

for maximum value of

and

Thus each number is half of the sum.

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