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KVPY2017MathematicsCircle

A spherical ball is kept at the corner of a rectangular room such that the ball touches two (Perpendicular) walls and lies on the floor. If a point on the sphere is at distances of 9,16,25 from the two walls and the floor, then a possible radius of the sphere is

Options

  1. A13
  2. B15
  3. C26
  4. D36

Correct answer

A. 13

Step-by-step solution

(r-9)²+(r-16)²+(r-25)²=r² solving this array l 2 r²-100 r+962=0 r²-50 r+481=0 r=37, r=13 array possible radius =13 According to option

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