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NDA 2025 · PYQ · Application of Derivatives · medium

Let ABC be a triangle right-angled at B and AB + AC = 3 units. What is the maximum area of the triangle?

  1. A.√3/2 square units✓ Correct
  2. B.√3 square units
  3. C.√6/2 square units
  4. D.√6 square units

Explanation

With AB = 1, AC = 2, BC = √(4-1) = √3. Area = (1/2)·1·√3 = √3/2.
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