The parabola is required to pass through both the points and

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The parabola

y^{2}=4ax

is required to pass through both the points

(1,6)

and

(4,12)

. Determine whether this is possible. If it is, find the value of

a

; if not, state why no such parabola exists.