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Finding the coordinates of endpoints

  1. Mar 14, 2005 #1
    How do you find the coordinates of endpoints of the major axis for an equation like

    [tex]\frac{(x-1)^2}{16} + \frac{(y+2)^2}{25} = 1[/tex]

    I'm just trying to develop the tequnique here. What should I be looking for? What numbers are important to an equation like this...
     
  2. jcsd
  3. Mar 14, 2005 #2

    aek

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    I like to help you out but i can't really understand your question...are you trying to say by the "endpoints" as in the y and x values. If you could clarify your question i might be able to help you...

    take care,
    aek
     
  4. Mar 14, 2005 #3
    Yeah, like....a pair of points. (x,y);(x,y)
     
  5. Mar 15, 2005 #4
    Hint:
    find the center (h,k) first....
    the major axis is a line horizontally or vertically passes through the eclipse, depend on which one is longer....
    you should able to figure out the rest....
     
  6. Mar 16, 2005 #5

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    In your example, the center of the ellipse is at (1, -2) and the semi-axis in the x direction is 4 so the endpoints of the axis of the ellipse, in the x direction, are (1+4,-2)= (5,-2) and (1-4,-2)= (-3,-2). The semi-axis in the y direction is 5 so the endpoints of the axis of the ellipse, in the y direction, are (1,-2+5)= (1, 3) and (1, -2-5)= (1, -7)
     
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