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NEST2024MathematicsCircle

Let A B be the diameter of a circle with radius 1 centred at the point O . Let C be a point on the circle such that B O C=60^ . Let D be the foot of the perpendicular from C to A B . Let denote the circle that touches segment D B , segment D C and the shorter arc of the circle with endpoints B and C as shown in the figure given below. Then the radius of the circle is

Options

  1. A3 -(3 / 2)
  2. B3 / 8
  3. C(2+ 3 ) / 16
  4. D( 3 -1) / 3

Correct answer

A. 3 -(3 / 2)

Step-by-step solution

No solution available.

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