Question 89
Let $H$ be the hyperboloid $3x^2 + 3y^2 - z^2 - 1 = 0$.
(a) Prove that every point $(x, y, z) \in H$ belong to exactly two lines contained in $H$.
(b) Prove that all lines contained in $H$ form the same angle with the plane $z = 0$, and find that angle.
(a) Prove that every point $(x, y, z) \in H$ belong to exactly two lines contained in $H$.
(b) Prove that all lines contained in $H$ form the same angle with the plane $z = 0$, and find that angle.