Question

Solution

Correct option is Let the equation of the sphere be …(1)

(0, 0, 0) is on the sphere.  (–1, 2, 0) is on the sphere.  ( )               …(2)

(0, 1,–1) is on the sphere.  …(3)

(1, 2, 5) is on the sphere.  …(4) …(5) …(6)       .

This is the equation of the sphere.

SIMILAR QUESTIONS

Q1

Find the value of for which the plane touches the sphere Q2

Find the radius of the circular section of the sphere by the plane Q3

Find the centre and radius of the circle in which the plane intersects the sphere Q4

Find the equation of the sphere which passes through the points (1,–3, 4), (1, –5, 2), (1, –3, 0) and has its centre on the plane x + y + z = 0.

Q5

Chord AB is a diameter of the sphere with coordinates of A as (3, 2, –2). Find the coordinates of B.

Q6

A plane passes through a fixed point (­a, b, c) and cuts axes in A, B, C. Find the locus of the centre of the sphere OABC

Q7

Obtain the equation of the sphere described on the join of the points (2, –3, 4) and B(–5, 6, –7) as a diameter.