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Chapter 10: Q 34 (page 789)

Find the equation of a sphere containing the point (1, 4, 7) and whose center is (-2, 3, 5).

Short Answer

Expert verified

The required equation is:(x+2)2+(y-3)2+(z-5)2=14

Step by step solution

01

Given information

A sphere containing the point (1, 4, 7) and whose center is (-2, 3, 5).

02

Finding the radius

The radius will be the distance between the center and the point given.

Radius is:

(1+2)2+(4-3)2+(7-5)2

Simplify:

14

03

Finding the equation

The equation of the sphere may be written as:

(x+2)2+(y-3)2+(z-5)2=(14)2

Simplify:

(x+2)2+(y-3)2+(z-5)2=14

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