Functions of Several Variables

[kzang]

Homework Statement

a.) Find the equations of the circles (if any) where the sphere (x-1)^2+(y+3)^2+(z-2)^2=4 intersects each coordinate plane.
b.)Find the points (if any) where this sphere intersects each coordinate axis.

Homework Equations

The Attempt at a Solution

a.) The sphere intersects the y-z plane so x=0. So the equation would be (y+3)^2+(z-2)^2=4?
b.) I'm not sure how to begin. Please help

 

[lanedance]

(x-1)^2+(y+3)^2+(z-2)^2=4

if x = 0, you get
(-1)^2+(y+3)^2+(z-2)^2=4

for b) on the z aaxis, y=x=0

 

[Dick]

For a) you should put x=0. Yes. But you didn't put x=0, you put x-1=0. For b) the x-axis is defined by y=0 and z=0.