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AP EAMCET2009MathematicsThree Dimensional Geometry

The radius of the sphere x^2+y^2+z^2=12 x+4 y+3 z is

Options

  1. A13 2
  2. B13
  3. C26
  4. D52

Correct answer

A. 13 2

Step-by-step solution

Given equation of sphere is x^2+y^2+z^2-12 x-4 y-3 z=0 Centre of sphere is (6,2, 3 2 ) . gathered Radius of sphere = (6)^2+(2)^2+ ( 3 2 )^2 = 36+4+ 9 4 = 169 4 = 13 2 gathered

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