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Chapter 10: Q 31 (page 789)

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

Short Answer

Expert verified

The required equation is:

(x-2)2+(y-5)2+(z+7)2=49

Step by step solution

01

Given information

A sphere with center (2, 5, -7) and tangent to thexy-plane.

02

Finding the equation

The radius of sphere will be equal to the absolute value of the z coordinate -7=7.

The equation of sphere may be written as:

(x-2)2+(y-5)2+(z+7)2=72

Simplify:

(x-2)2+(y-5)2+(z+7)2=49

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