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Math Help - Circle Equation

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    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).

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  2. #2
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    Quote Originally Posted by thamathkid1729 View Post
    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.
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  3. #3
    Junior Member mathfun's Avatar
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    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 $$\left( {x - {x_0}} \right)\left( {{x_1} - {x_0}} \right) + \left( {y - {y_0}} \right)\left( {{y_1} - {y_0}} \right) = <br />
{r^2}$$

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