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Condition for a Line to Be Tangent
For:
$$y=mx+c$$
to be tangent to:
$$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$
the condition is:
$$c^2=a^2m^2-b^2$$
Usage
- Used to determine whether a given line touches the hyperbola at exactly one point.
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Condition for a Line to Be Tangent
For:
$$y=mx+c$$
to be tangent to:
$$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$
the condition is:
$$c^2=a^2m^2-b^2$$
Usage
- Used to determine whether a given line touches the hyperbola at exactly one point.
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