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Tangent Perpendicular to a Given Line
If a given line has slope $$m$$, a perpendicular tangent has slope:
$$-\frac{1}{m}$$
Hence the required tangents are:
$$y=-\frac{x}{m}\pm\sqrt{\frac{a^2}{m^2}+b^2}$$
Usage
- Used when the tangent must be perpendicular to a given line.
