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

# Find The Equation Of The Sphere Passing Through The Points (0, 0, 0), (–1, 2, 0), (0, 1, –1) And (1, 2, 5).

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## 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.

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