Tangent Parallel to a Given Line

Rarely Tested

Tangent Parallel to a Given Line

For:

$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$

if a tangent is required parallel to:

$$y=mx+c$$

then the tangents are:

$$y=mx\pm\sqrt{a^2m^2+b^2}$$

Usage

- Used to find the two tangents parallel to a specified line.

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