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AP EAMCET2011MathematicsThree Dimensional Geometry

The radius of the circle given by aligned x^2+y^2 & +z^2+2 x-2 y-4 z-19=0 & =x+2 y+2 z+7, is aligned

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

B. 3

Step-by-step solution

Equation of the sphere, and equation of plane centre of the sphere (-1,1,2) and radius of the sphere aligned R & = 1+1+4+19 & = 25 =5 aligned Now, p= perpendicular distance from the centre to the plane p= |-1+2+4+7| 1+4+4 = 12 9 = 12 3 =4 aligned & In A O C & R^2=p^2+r^2 aligned array ll & r^2=R^2-p^2 & r^2=25-16=9 & r=3 array

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