## Question

Find the centre and radius of the sphere

### Solution

Centre (-2, 4, -3) and radius = 5

The given equation is

__Alternative method__

The given equation is

Comparing this equation with

we get

And

**.**

#### SIMILAR QUESTIONS

Find the equation of the sphere whose centre is (2, – 3, 4) and radius 5.

Find the centre and radius of the sphere

Find the centre and radius of the sphere

Find the equation of the sphere concentric with the sphere

and double its radius.

A point *P*(*x, y, z*) is such that 3*PA = *2*PB*, where *A *and *B* are the points (1, 3, 4) and (1, – 2, –1) respectively. Find the equation of the locus of the point *P* and show that the locus is a sphere.

Find the equation of the sphere whose centre has the position vector and which touches the plane

Find the value of for which the plane touches the sphere

Find the radius of the circular section of the sphere by the plane