The parabola is cut at the point whose -coordinate is

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

Problem

The parabola

y^{2}=4a x

is cut at the point whose

y

-coordinate is

6

. Determine the value of

a

if the tangent at that point is parallel to the line

5x-2y+3=0