Class 12

Math

3D Geometry

Three Dimensional Geometry

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

- u2+v2+w2=d2
- u2+v2+w2>d
- u2+v2+w2
- 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