Quadratic Surfaces

Question 1

x^2 + y^2 = z^2

Answer 1

Cone

Question 2

x^2/a^2 + y^2/b^2 + z^2/c^2 = 1

Answer 2

Ellipsoid

Question 3

x^2/a^2 + y^2/b^2 = z

Answer 3

Elliptic paraboloid

Question 4

x^2/a^2 - y^2/b^2 = z

Answer 4

Hyperbolic paraboloid

Question 5

x^2/a^2 + y^2/b^2 - z^2/c^2 = 1

Answer 5

Hyperboloid of one sheet

Question 6

x^2/a^2 + y^2/b^2 - z^2/c^2 = -1

Answer 6

Hyperboloid of two sheets

Question 7

x^2 + y^2 = a^2

z = k

Answer 7

Cylinder with intersecting plane z = k