Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By romsek

Math Help - Ellipses

  1. #1
    Newbie
    Joined
    Jan 2014
    From
    CA
    Posts
    4

    Ellipses

    You're given that the center is at (1,2); focus at (1,4); passing through the point (2,2)

    You need to find the equation for the ellipse and graph it.

    My problem is that I'm not sure how to find a and b with the given information. I've already found that c = 2, since the distance from the center to the focus is c, and 4 -2 = 2.

    I've also found that since the center = (h,k), h =1 and k = 2. Now I'm not sure what to do next to find a and b.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,326
    Thanks
    893

    Re: Ellipses

    Quote Originally Posted by Smugleaf View Post
    You're given that the center is at (1,2); focus at (1,4); passing through the point (2,2)

    You need to find the equation for the ellipse and graph it.

    My problem is that I'm not sure how to find a and b with the given information. I've already found that c = 2, since the distance from the center to the focus is c, and 4 -2 = 2.

    I've also found that since the center = (h,k), h =1 and k = 2. Now I'm not sure what to do next to find a and b.
    The major axis of the ellipse is parallel to the y axis. The minor parallel to the x axis.
    The ellipse passes through (2,2)
    The center is at (1,2)

    so what's the semi-minor axis b?

    to find the semi-major axis use
    $$c^2=a^2-b^2$$
    Thanks from Smugleaf
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ellipses?
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: May 8th 2011, 01:33 PM
  2. ellipses
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: December 17th 2010, 05:39 PM
  3. Ellipses
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: November 30th 2009, 07:48 AM
  4. Ellipses
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 23rd 2009, 11:40 PM
  5. I Need Help On Ellipses Please!
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 6th 2006, 11:52 AM

Search Tags


/mathhelpforum @mathhelpforum