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Condition for a Line to Cut the Parabola at Two Points
For:
$$y=mx+c$$
to intersect:
$$y^2=4ax$$
at two distinct real points:
$$mc<a$$
for $$m>0$$.
Usage
- Used to determine whether a given line is a secant of the parabola.
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Condition for a Line to Cut the Parabola at Two Points
For:
$$y=mx+c$$
to intersect:
$$y^2=4ax$$
at two distinct real points:
$$mc<a$$
for $$m>0$$.
Usage
- Used to determine whether a given line is a secant of the parabola.
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