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JEE Main2005MathematicsThree Dimensional GeometryActual

The plane x+2 y-z=4 cuts the sphere x^2+y^2+z^2-x+z-2=0 in a circle of radius

Options

  1. A3
  2. B1
  3. C2
  4. D2

Correct answer

B. 1

Step-by-step solution

Perpendicular distance of centre ( 1 2 , 0,- 1 2 ) from x+2 y-2=4 aligned & | 1 2 + 1 2 -4 | 6 = 3 2 & radius = 5 2 - 3 2 =1 . aligned

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