TS EAMCET · Maths · Application of Derivatives
The smaller side of the rectangle with the largest area, that can be inscribed inside a semi-circle of radius units is of length
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Let length of the rectangle be 2a. And let the breadth be b. So, area A=2ab. Now, we have, a2+b2=1. ⇒A=2b1-b2 Differentiating w.r.t. b we get, dAdb=21-b2+2b-2b21-b2 Putting, dAdb=0⇒b2=12⇒b=12.
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