Consider the parabolas and

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

Problem

Consider the parabolas

y^{2}=12x

and

x^{2}=8y

. Which statement about their latus rectum lengths is correct? (a) Both parabolas have equal latus rectum length (b) The latus rectum of

x^{2}=8y

is longer (c) Their latus rectum lengths are

6\text{ units}

and

4\text{ units}

respectively (d) The latus rectum of

y^{2}=12x

is longer