Results 1 to 2 of 2

Math Help - equation of circle

  1. #1
    Junior Member
    Joined
    Jul 2009
    Posts
    35

    Exclamation equation of circle

    Write the eq. of the circle having its center on the line x=2 and passing through the
    point of intersection between the circles of x^2+y^2-3x=0 and x^2+y^2=3y.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Quote Originally Posted by jasonlewiz View Post
    Write the eq. of the circle having its center on the line x=2 and passing through the
    point of intersection between the circles of x^2+y^2-3x=0 and x^2+y^2=3y.
    You mean "passing through the points of intersection".

    Geometrically speaking,
    you are looking for a point on the line x=2 that is equidistant from the two points of intersection of the circles, so that both points are a radius away.

    Solve for the points of intersection of the circles.
    Then use Pythagoras' theorem to find the y co-ordinate of the new circle centre.
    Then find that circle's radius.
    You can then write the circle equation.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Equation of a Circle
    Posted in the Geometry Forum
    Replies: 3
    Last Post: August 27th 2010, 08:44 PM
  2. Circle equation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 29th 2010, 07:29 AM
  3. equation of circle
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 19th 2009, 10:03 AM
  4. Equation of a circle
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: July 10th 2008, 09:03 PM
  5. circle equation
    Posted in the Pre-Calculus Forum
    Replies: 9
    Last Post: June 28th 2008, 01:45 PM

Search Tags


/mathhelpforum @mathhelpforum