8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Question

8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

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Mộc Miên 4 years 2021-08-02T14:16:56+00:00 1 Answers 18 views 0

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  1. hongcuc2
    0
    2021-08-02T14:18:43+00:00
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    Hello,

    If center is (0,0)

    x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b

    Here

    a=2 ==> a²=4

    b=8 ==> b²=64

    \boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\

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