Tangent to a Rectangular Hyperbola at a General Point

Rarely Tested

Tangent to a Rectangular Hyperbola at a General Point

At $$P(x_1,y_1)$$ on:

$$xy=c^2$$

the tangent is:

$$xy_1+x_1y=2c^2$$

Usage

- Used when the coordinates of the point of contact are given.

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