Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The equation of the parabola with vertex at
and focus
is
Text Solution
Verified by ExpertsThe correct answer is:
A
: Let
be the vertex and
the focus. Let the axis meets the directrix at
.
Let the coordinates of
be
. Since
is the
mid point of
, we have
and 
and
.
Coordinates of
are
.
Slope of
is a horizontal line.
The directrix is a vertical line and it passes through
. The equation of directrix is
. i.e.,
.
Let
be a general point on the parabola.
By definition, 


.
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