The equation of the sphere with centre (3, 6, -4) and touching the plane 2 x-2 y-z-10=0…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The equation of the sphere with centre (3, 6, -4) and touching the plane \(2 x-2 y-z-10=0\) is :
  1. \(x^{2}+y^{2}+z^{2}-6 x+12 y-8 z+45=0\)
  2. \(x^{2}+y^{2}+z^{2}+6 x-9 y+8 z+35=0\)
  3. \(x^{2}+y^{2}+z^{2}-6 x+9 y+8 z+35=0\)
  4. \(x^{2}+y^{2}+z^{2}-6 x-12 y+8 z+45=0\)

Answer

(D) x^ 2 +y^ 2 +z^ 2 -6 x-12 y+8 z+45=0

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