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.