Answer:
The equation that says P is equidistant from F and the y-axis is
.
(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.
Step-by-step explanation:
Let
and
, where
is a point that is equidistant from F and the y-axis. The following vectorial expression must be satisfied to get the location of that point:


(1)
If we know that
and
, then the resulting vectorial equation is:


The equation that says P is equidistant from F and the y-axis is
.
If we know that
,
and
, then the coordinates for three points that are equidistant from F and the y-axis:






(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.