Under what condition does the equation x2+y2+z2+2uc+2uy+2wz+d=0 re | Filo
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3D Geometry

Three Dimensional Geometry

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Under what condition does the equation x2+y2+z2+2uc+2uy+2wz+d=0 represent a real sphere?

  1. u2+v2+w2=d2
  2. u2+v2+w2>d
  3. u2+v2+w2
  4. u2+v2+w2
Correct Answer: Option(b)
Solution: [b] Equation x2+y2+z2+2ux+2vy+2wz+d=0 Represent a real sphere if u2+v2+w2>d
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