# Thread: Circle Equation

1. ## Circle Equation

Find an equation for the circle that goes through the points (0
, 0), (0, 8), and (6, 12). Find an equation for the line that is tangent to this circle at (6, 12).

2. Originally Posted by thamathkid1729
Find an equation for the circle that goes through the points (0
, 0), (0, 8), and (6, 12). Find an equation for the line that is tangent to this circle at (6, 12).

You have enough other postings to understand that this is not a homework service nor is it a tutorial service. Please either post some of your own work on these problems or explain what you do not understand about the question.

3. A circle has equation ${x^2} + {y^2} + Ax + By + C = 0$ $A,B,C \in {\Cal R}$.
You have three points given and three unknown letters( A,B,C). Find them.
Then the equation of the tangent is $\left( {x - {x_0}} \right)\left( {{x_1} - {x_0}} \right) + \left( {y - {y_0}} \right)\left( {{y_1} - {y_0}} \right) =
{r^2}$

where x0,y0 is the center of the circle
x1,y1 the tangency point and r its radius