Given a Quadric Surface $x ^ { 2 } + 2 y ^ { 2 } + z = 0$

Essay

Given a quadric surface $x ^ { 2 } + 2 y ^ { 2 } + z = 0$ .(a) Identify and sketch the surface.(b) Find the coordinates of the point(s) of intersection of the line passing through the points $( 1,1,0 )$ and $( 0,0 , - 4 )$ and the surface.