Find the equations that describe the circle of radius 2 centered at(5, 6, 1)that is parallel to the xy-plane. (enter your answers as a comma-separated list of equations.)

we know that

the equation of the sphere is equal to

where

(h,k,l) is the center of the sphere

r is the radius of the sphere

In this problem

the center is (5, 6, 1) and the radius is 2 units

so

the equation of the sphere is equal to

a) the equation of a circle that is parallel to the xy-plane is

For z=1

b) the equation of a circle that is parallel to the yz-plane is

For x=5

c) b) the equation of a circle that is parallel to the xz-plane is

For y=6

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

b is the correct answer