Question:
If $a+b=10$ and $ab$ is maximum, then the value of a is
If $a+b=10$ and $ab$ is maximum, then the value of a is
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A square has the largest area among all rectangles with the same perimeter.
Updated On: Apr 28, 2026
- 5
- 3
- 6
- 25
- 10
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The Correct Option is A
Solution and Explanation
Step 1: Concept
For a fixed sum, the product of two numbers is maximum when the numbers are equal.
Step 2: Analysis
Given $a+b=10$. For $ab$ to be maximum, $a=b$.
Step 3: Conclusion
$a+a=10 \implies 2a=10 \implies a=5$. Final Answer: (A)
For a fixed sum, the product of two numbers is maximum when the numbers are equal.
Step 2: Analysis
Given $a+b=10$. For $ab$ to be maximum, $a=b$.
Step 3: Conclusion
$a+a=10 \implies 2a=10 \implies a=5$. Final Answer: (A)
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