Find an equation of the sphere with center (4, −12, 8) and radius 10.

use an equation to describe its intersection with each of the coordinate planes. (if the sphere does not intersect with the plane, enter dne.)

intersection with xy-plane
intersection with xz-plane
intersection with yz-plane

Step-by-step explanation:

To find an equation of the sphere with center (4, −12, 8) and radius 10

intersection with xy-plane

Put z=0

(A circle with centre at (4,-12) and radius 6)

intersection with xz-plane

Put y =0

Sum of squares cannot be positive, so DNE

intersection with yz-plane

Put x=0

A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84

x=6 and x=3

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