## Question

### Solution

Correct option is The sphere is   ∴ Centre = (1, 1, 1) and radius = 3.

The plane touches the given sphere.

∴     Length of ⊥ from centre to the plane = radius  #### SIMILAR QUESTIONS

Q1

Find the centre and radius of the sphere Q2

Find the centre and radius of the sphere Q3

Find the centre and radius of the sphere Q4

Find the equation of the sphere concentric with the sphere and double its radius.

Q5

A point P(x, y, z) is such that 3PA = 2PB, where 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.

Q6

Find the equation of the sphere whose centre has the position vector and which touches the plane Q7

Find the radius of the circular section of the sphere by the plane Q8

Find the centre and radius of the circle in which the plane intersects the sphere Q9

Find the equation of the sphere passing through the points (0, 0, 0), (–1, 2, 0), (0, 1, –1) and (1, 2, 5).