Question

what is ellipsoid?give definition and example of it.​

Answer 1

Answer: three dimensional figure

Step-by-step explanation:

a three-dimensional figure symmetrical about each of three perpendicular axes, whose plane sections normal to one axis are circles and all the other plane sections are ellipses.

Answer 2

a three-dimensional figure symmetrical about each of three perpendicular axes, whose plane sections normal to one axis are circles and all the other plane sections are ellipses is known as ellipsoid.

example-If a, b, and c are the principal semiaxes, the general equation of such an ellipsoid is x2/a2 + y2/b2 + z2/c2 = 1. A special case arises when a= b = c: then the surface is a sphere, and the intersection with any plane passing through it is a circle. If two axes are equal, say a = b, and different from the third, c, then the ellipsoid is an ellipsoid of revolution, or spheroid