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Chapter 10: Q 35 (page 789)

Find the equation of a sphere containing the point (3, 0, -1) and whose center is (2, -8, 0).

Short Answer

Expert verified

The required equation is:(x-2)2+(y+8)2+z2=66

Step by step solution

01

Given information

A sphere containing the point (3, 0, -1) and whose center is (2, -8, 0).

02

Finding the radius

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

Radius is:

(3-2)2+(-8-0)2+(0-(-1))2=66

03

Finding the equation

The equation of sphere may be written as:

(x-2)2+(y+8)2+(z-0)2=(66)2

Simplify:

(x-2)2+(y+8)2+z2=66

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