Condition for a Real Sphere

Rarely Tested

Condition for a Real Sphere

For:

$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$

a real sphere exists when:

$$g^2+f^2+h^2-c>0$$

Usage

- Used to check whether the equation represents a real sphere with positive radius.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.