Thread: write the equation

of a sphere witha center (1,4,-3) and tangent to the xz plane

Originally Posted by tiga killa

of a sphere witha center (1,4,-3) and tangent to the xz plane

r is the distance from the point (1,4,-3) to the xz plane ... which I leave for you to figure out.

Hello, tiga killa!

Write the equaton of a sphere with center (1,4,-3) and tangent to the xz-plane

We have the center . . . we just need the radius, right?

Can you visualize the sphere?
. . If it is tangent to the xz-plane, the radius is 4.

Therefore: .

Hello,

You have just to find the radius of this sphere.

It corresponds of the abscissa since it has to be tangent to .

Hence and thus the equation of the sphere is

Edit : What I called is the plan , maybe the sphere is tangent to ?