Condition for a Line to Be a Normal

Rarely Tested

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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