Polar of a Point on the Circle

Rarely Tested

Polar of a Point on the Circle

For:

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

if $$(x_1,y_1)$$ lies on the circle:

$$x_1^2+y_1^2=a^2$$

then its polar:

$$xx_1+yy_1=a^2$$

is the tangent at that point.

Usage

- Used to obtain the tangent as a special case of the polar.

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