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Math Help - find equation of ellipse

  1. #1
    Member sluggerbroth's Avatar
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    find equation of ellipse

    center at origin, major axis on y axis, contains points (1, 2sq root 3) and (1/2, sq root 15)
    HELP???????????
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  2. #2
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    Re: find equation of ellipse

    \frac{x^2}{a^2}+\frac{y^2}{b^2}=1

    Sub in and solve..

    \frac{1}{a^2}+\frac{12}{b^2}=1

    \frac{1/4}{a^2}+\frac{15}{b^2}=1
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  3. #3
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    Re: find equation of ellipse

    Quote Originally Posted by sluggerbroth View Post
    center at origin, major axis on y axis, contains points (1, 2sq root 3) and (1/2, sq root 15)
    \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1 i is the equation. Use the given points to find a^2~\&~b^2
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  4. #4
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    Re: find equation of ellipse

    Quote Originally Posted by sluggerbroth View Post
    center at origin, major axis on y axis, contains points (1, 2sq root 3) and (1/2, sq root 15)
    HELP???????????
    \frac{1^2}{a^2} + \frac{(2\sqrt{3})^2}{b^2} = 1

    \frac{\left(\frac{1}{2}\right)^2}{a^2} + \frac{(\sqrt{15})^2}{b^2} = 1

    note b^2 > a^2 ...

    solve for a^2 and b^2
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