I have a sphere with the equation(adsbygoogle = window.adsbygoogle || []).push({});

(x-3)^{2}+(y-2)^{2}+(z+5)^{2}=36

two question:

1. how do I find the equation of the shapes where the surface intersects each coordinate plane.

2. How do I find the points where the surface intersects each coordinate axis.

I think for 1. that it will be a circle but how do I find the equation of that circle? What part of the sphere equation do I need to set to zero?

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# Sphere Intersects with Plane

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