Given the Equation of a Surface of Revolution $x ^ { 2 } + z ^ { 2 } - 3 y = 0 \text {, find the equation of }$

Multiple Choice

Given the equation of a surface of revolution $x ^ { 2 } + z ^ { 2 } - 3 y = 0 \text {, find the equation of }$ its generating curve in the yz-plane rotating about the y-axis.

A) $x = \sqrt { 3 y }$ or $z = \sqrt { 3 y }$
B) $x ^ { 2 } + z ^ { 2 } = 9 y ^ { 2 }$
C) $x ^ { 2 } + z ^ { 2 } = \sqrt { 3 y }$
D) $x = 9 y ^ { 2 }$ or $z = 9 z ^ { 2 }$
E) $x = 3 y$ or $z = 3 y$