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KVPY2017MathematicsArea Under Curves

Let R be the region of the disc x²+y² 1 in the first quadrant. Then the area of the largest possible circle contained in R is

Options

  1. A(3-2 2 )
  2. B(4-3 2 )
  3. C6
  4. D(2 2 -2)

Correct answer

A. (3-2 2 )

Step-by-step solution

Required equation of circle (x-h)²+(y-h)²=h² Both circle touch internally array l C ₁ C ₂= | r ₁- r ₂ | h ²+ h ² =| h -1| array Solve this h = 2 -1 Area ( 2 -1)²= (3-2 2 )

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