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Circle problem

  1. Oct 19, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the equation of the circle which intersects the x-axis at two points at 2 unit distance from the origin and the radius is 5

    2. Relevant equations
    x^2 + y^2 + 2gx + 2fy + c=0

    r=(g^2+f^2-c)^1/2


    3. The attempt at a solution
    I first tried to solve it by assuming that the two points are (2,0) and (2+x,0). The main conundrum is solving for x and also finding out the center of the circle
     
    Last edited: Oct 19, 2013
  2. jcsd
  3. Oct 19, 2013 #2

    tiny-tim

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    Hi Dumbledore211! :smile:
    No, they're both at 2 from the origin, so they're x = ±2. :wink:

    (and so the centre will … ?)
     
  4. Oct 19, 2013 #3
    The two points on the x- axis at 2 unit distance from the origin are (-2,0) and (2,0) . I guess now it should be easy for you :smile:
     
  5. Oct 19, 2013 #4
    Thank you. It should be fairly easy to solve it using your helpful info
     
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