Find an equation of the sphere with center $(-1,4,5)$ that just touches (at only one point) the (a) $x y$ -plane, (b) $y z$ -plane, and (c) $x z$ -plane.
Added by Mark B.
Step 1
The distance from the point $(-1,4,5)$ to the $xy$-plane is $5$. So, the radius of the sphere is $5$. Show more…
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