Answer to Question #103532 in Analytic Geometry for aa

Question

Every planar section of an ellipsoid is an ellipse. Is it true or false ?

Answer 1

Answer: True

Every planar cross section is either an ellipse, or is empty, or is reduced to a single point (this explains the name, meaning "ellipse like"). It is bounded, which means that it may be enclosed in a sufficiently large sphere. ... If the three axes have the same length, the ellipsoid is a sphere.

We can say that every planar section in ellipsoid is also ellipse.

Answer: True