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TS EAMCET · Maths · Application of Derivatives

In \(\triangle A B C, \angle B=90^{\circ}\) and \((b+a)\) is always a constant. In order that \(\triangle A B C\) encloses the maximum area, \(\angle C=\)

  1. A \(\frac{\pi}{4}\)
  2. B \(\frac{\pi}{6}\)
  3. C \(\frac{\pi}{3}\)
  4. D \(\frac{2 \pi}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\pi}{3}\)

Step-by-step Solution

Detailed explanation

Given, \(a+b\) is constant Let \(\quad a+b=k\) Area of \(\triangle A B C\) say \(A\)…