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Paragraph: Let 2 x^2+2 y^2+2 z^2+3 x+3 y+3 z-6=0 be a sphere. Question: The centre of the sphere lies on the plane

Options

  1. A2 x+2 y+2 z-3=0
  2. B4 x+4 y+4 z-3=0
  3. C4 x+8 y+8 z-15=0
  4. D4 x+8 y+8 z+15=0

Correct answer

D. 4 x+8 y+8 z+15=0

Step-by-step solution

Centre of sphere is C ( -3 4 , -3 4 , -3 4 )4 x+8 y+8 z+15=0 is the only plane which satisfy the centre of sphere -3+-6-6+15=0 0=0 Option (d) is correct.

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