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KVPY2020MathematicsProperties of Triangles

Let A ,   B ,   C be three points on a circle of radius 1 such that ∠ A C B = π 4 . Then the length of the side A B is

Options

  1. A3
  2. B4 3
  3. C3 2
  4. D2

Correct answer

D. 2

Step-by-step solution

Let O be the centre of the circle In Δ O A B A B = 2 r and r = 1 ⇒ A B = 2

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