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KVPY2015MathematicsCircle

Let A B C D be a square of side length 1 , and a circle passing through B and C , and touching AD . The radius of is

Options

  1. A3 8
  2. B1 2
  3. C1 2
  4. D5 8

Correct answer

D. 5 8

Step-by-step solution

PC = r PC ²= r ²( r -1)²+ ( 1 2 -1 )²=r²1-2 r + 1 4 =0r= 5 8

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