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Math Help - equations

  1. #1
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    equations

    I apologise if this is in the wrong section, but it was under my homework: Algebra.

    Two circles C1 and C2 are members of a set of circles defined by this equation: [/tex] x^2 + y^2 - 6x + 2ky + 3k = 0 [tex]. The centre of C1 lies on the line x - 3y = 0 and C2 touches the x axis. Find the equations of C1 and C2

    so how would I use algebra to do this
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  2. #2
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    Quote Originally Posted by differentiate View Post
    I apologise if this is in the wrong section, but it was under my homework: Algebra.

    Two circles C1 and C2 are members of a set of circles defined by this equation: [/tex] x^2 + y^2 - 6x + 2ky + 3k = 0 [tex]. The centre of C1 lies on the line x - 3y = 0 and C2 touches the x axis. Find the equations of C1 and C2

    so how would I use algebra to do this
    Start by completing the square in both x and y to get the equation of the family of circles into (x - h)^2 + (y - k)^2 = r^2 form.
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