Three parabolas are sketched on the same axes: P₁: , P₂: , P₃:

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Three parabolas are sketched on the same axes: P₁:

y^{2}=-9x

, P₂:

x^{2}=16y

, P₃:

y^{2}=4x

. Which of the following orders lists them from the narrowest opening to the widest opening? (a)

P_1,\, P_3,\, P_2

(b)

P_3,\, P_2,\, P_1

(c)

P_3,\, P_1,\, P_2

(d)

P_2,\, P_1,\, P_3