Prove briefly that the focus of any parabola given by (with ) can never lie in…

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

Problem

Prove briefly that the focus of any parabola given by

y^{2}=4ax

(with

a\neq 0

) can never lie in Quadrant II or Quadrant IV of the Cartesian plane.