Directrix is equidistant from the focus of the parabola. Is it possible that the directrix can be placed anywhere in the cartesian plane and still make a legitimate parabola ? Or is there a limit for where the directrix to be placed to form a legitimate parabola in a cartesian plane. Thanks in advance
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The directrix can be placed anywhere (the focus must not lie on the directrix). – georg Sep 04 '16 at 06:07
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Your first phrase is weird, and perhaps you meant: the parabola is the locus of all points which are quidistant from a point, called the parabola's focus, and a straight line called the directrix, which does not pass through the focus, so yes: given a point which will be the focus, to construct a directrix for a parabola you can choose any line not through that point. – DonAntonio Sep 04 '16 at 07:55