Question

Find the value of  for which the plane  touches the sphere 

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).