Condition for a Line to Intersect a Parabola
For:
$$y^2=4ax$$
and a line:
$$y=mx+c$$
substitution gives:
$$m^2x^2+(2mc-4a)x+c^2=0$$
Usage
- Used to determine the intersection points of a line and parabola.
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CAT Formulas
Parabola
Condition for a Line to Intersect a Parabola
Condition for a Line to Intersect a Parabola
For:
$$y^2=4ax$$
and a line:
$$y=mx+c$$
substitution gives:
$$m^2x^2+(2mc-4a)x+c^2=0$$
Usage
- Used to determine the intersection points of a line and parabola.
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