Consider the sphere $(x-3)^2 + (y-5)^2 + (z-4)^2 = 25$

(a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle?

The sphere intersects the yz-plane   ? at zero points at one point at two points in a line in a circle
The sphere intersects the xy-plane   ? at zero points at one point at two points in a line in a circle
The sphere intersects the xz-plane   ? at zero points at one point at two points in a line in a circle

(b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two points, or in a line?

The sphere intersects the z-axis   ? at zero points at one point at two points in a line
The sphere intersects the y-axis   ? at zero points at one point at two points in a line
The sphere intersects the x-axis   ? at zero points at one point at two points in a line