Condition for a Line to Intersect a Parabola

Rarely Tested

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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