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Chapter 10: Q 32 (page 789)

Find the equation of a sphere with center (2, 5, −7) and tangent to the yz-plane

Short Answer

Expert verified

The required equation is:(x-2)2+(y-5)2+(z+7)2=4

Step by step solution

01

Given information

center (2, 5, −7) and tangent to the yz-plane

02

Finding the equation

The radius of sphere will be absolute value of x coordinate.

Radius = 2

The equation of sphere may be written as:

(x-2)2+(y-5)2+(z+7)2=22

Simplify:

(x-2)2+(y-5)2+(z+7)2=4

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