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




None of these
medium
Solution
The given sphere is
Since, concentric sphere have common centre, the centre of the required sphere is also (3, –1, 2).
Also,
Radius = 2 × 4 = 8.
∴ The equation of the required sphere is
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
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A point P(x, y, z) is such that 3PA = 2PB, 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