Tangent to a Circle at a Given Point

Rarely Tested

Tangent to a Circle at a Given Point

For the circle:

$$x^2+y^2+2gx+2fy+c=0$$

the tangent at $$(x_1,y_1)$$ is:

$$xx_1+yy_1+g(x+x_1)+f(y+y_1)+c=0$$

Usage

- Used to find the tangent equation when the point of contact on the circle is known.

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