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Tangent to a Translated Hyperbola
For:
$$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$$
the tangent at $$P(x_1,y_1)$$ is:
$$\frac{(x-h)(x_1-h)}{a^2}-\frac{(y-k)(y_1-k)}{b^2}=1$$
Usage
- Used when the point of contact on a translated hyperbola is known.
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Tangent to a Translated Hyperbola
For:
$$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$$
the tangent at $$P(x_1,y_1)$$ is:
$$\frac{(x-h)(x_1-h)}{a^2}-\frac{(y-k)(y_1-k)}{b^2}=1$$
Usage
- Used when the point of contact on a translated hyperbola is known.
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