The family of parabolas depends on the real parameter

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

Problem

The family of parabolas

y^{2}=4k x

depends on the real parameter

k

. For which value of

k

is the curve tangent to the line

y = 2x + 1

? (a)

0

(b)

4

(c)

2

(d)

1