Solving Equation of Sphere w/ Center (1,-4,3) & Radius 5

[tnutty]

Homework Statement

Find an equation of the sphere with center (1,-4,3); with radius 5.
What is the intersection of this sphere with the xz-plane?

The Attempt at a Solution

I am not sure what the second part of the equations is asking about, but the equation
of the sphere is (x-1)^2 + (y+4)^2 + (z-3)^2 = 5^2.

Any help on what the second part is about.

 

[espen180]

You are asked to find the points on the xz-plane (y=0) where the sphere "cuts through" this plane.

For example, a line intersects a plane at the point where it passes through it.

 

[tnutty]

So is it just the top left side of the sphere? How would I go about finding the answer?

 

[Mark44]

espen180 gave you a hint by telling you the equation of the x-z plane.

 

[HallsofIvy]

Since, as espen180 said, the xz-plane is defined by y= 0, replace y with 0.