Chord of Contact for a Circle at Origin

Rarely Tested

Chord of Contact for a Circle at Origin

For:

$$x^2+y^2=a^2$$

the chord of contact from $$(x_1,y_1)$$ is:

$$xx_1+yy_1=a^2$$

Usage

- Used to obtain the polar of an external point with respect to a circle centred at the origin.

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