Family of Circles Centered on the x-Axis

Rarely Tested

Family of Circles Centered on the x-Axis

For:

$$(x-a)^2+y^2=r^2$$

differentiating with respect to $$x$$ gives:

$$x-a+y\frac{dy}{dx}=0$$

Usage

- Used to form differential equations for circle families when parameters are eliminated.

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