Condition for a Line to Be a Normal
For a line:
$$y=mx+c$$
to be a normal to:
$$y^2=4ax$$
its slope parameter satisfies:
$$m=-t$$
and:
$$c=-2am-am^3$$
Usage
- Used to determine whether a given line can be a normal to the parabola.
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CAT Formulas
Parabola
Condition for a Line to Be a Normal
Condition for a Line to Be a Normal
For a line:
$$y=mx+c$$
to be a normal to:
$$y^2=4ax$$
its slope parameter satisfies:
$$m=-t$$
and:
$$c=-2am-am^3$$
Usage
- Used to determine whether a given line can be a normal to the parabola.
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