Which of the following is not a quadric surface?
A) $x ^ { 2 } + z ^ { 2 } = 1$
B) $z = x ^ { 2 } + y ^ { 2 }$
C) $y = x ^ { 3 } + z$

D) $z = x ^ { 2 } - y ^ { 2 }$
E) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$

Question

Which of the following is not a quadric surface?
A) $x ^ { 2 } + z ^ { 2 } = 1$ 
B) $z = x ^ { 2 } + y ^ { 2 }$ 
C) $y = x ^ { 3 } + z$

D) $z = x ^ { 2 } - y ^ { 2 }$ 
E) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$

Quizplus · Accepted Answer

Quadric surfaces are defined by second-degree equations in three variables (x, y, z). Choice C, $y = x ^ { 3 } + z$, is not a quadric surface because it includes a third-degree term ($x^3$), which does not fit the definition of a quadric surface.

Which of the Following Is Not a Quadric Surface? A) x2+z2=1x ^ { 2 } + z ^ { 2 } = 1x2+z2=1

Which of the Following Is Not a Quadric Surface?
A) $x ^ { 2 } + z ^ { 2 } = 1$