An ellipsoid is a 3D geometric surface that generalizes the shape of an ellipse to three dimensions. It is defined by three semi-axes (a, b, c) and centered at a point \( M(x_0, y_0, z_0) \).
General Equation of an Ellipsoid:
\[ \frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} + \frac{(z - z_0)^2}{c^2} = 1 \]
