Answer to Question #124615 in Analytic Geometry for Nikhil

Analytic Geometry

Question #124615

The xy-plane intersects the sphere x^2+y^2+z^2+2x+2y-z=2 in a great circle.

Expert's answer

The x-y-plane has standard equation z = 0.

"x^2+y^2+0+2x+2y-0=2"

"(x+1)^2+(y+1)^2=4"

The center of the great circle is "(-1,-1,0)" and radius is "2."

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