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KVPY2010MathematicsCircle

Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120^ . Consider the one with maximum possible area. Its area is-

Options

  1. A2 R ²
  2. B3 R ²
  3. C2 R ²
  4. D2 3 R ²

Correct answer

B. 3 R ²

Step-by-step solution

A =2 1 2 3 R R = 3 R ²

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