Circle Touching a Line at a Given Point
For the line:
$$Ax+By+C=0$$
touching the circle at $$(x_1,y_1)$$, the centre $$(h,k)$$ lies on:
$$B(h-x_1)-A(k-y_1)=0$$
Usage
- Used to restrict the centre to the normal through the point of contact.
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Circles
Circle Touching a Line at a Given Point
Circle Touching a Line at a Given Point
For the line:
$$Ax+By+C=0$$
touching the circle at $$(x_1,y_1)$$, the centre $$(h,k)$$ lies on:
$$B(h-x_1)-A(k-y_1)=0$$
Usage
- Used to restrict the centre to the normal through the point of contact.
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