Answer to Question #104609 in Analytic Geometry for Sourav Mondal

Question

Trace the conicoid represented by x²+2z²=y.Also describe its sections by the
planes x= c,∀c ∈ R.

Answer 1

The sections of the conicoid by the planes $x=c$ are $y=2z^2+c$ . These are parabolas of the plane $YZ$