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14. An ellipse has a vertex at (1,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in standard form?

14 An Ellipse Has A Vertex At 10 A Covertex At 04 And A Center At The Origin Which Is The Equation Of The Ellipse In Standard Form class=

Sagot :

a=4, b=1

The equation of the ellipse is:

[tex]\begin{gathered} \frac{x^2}{a^2}\text{ + }\frac{y^2}{b^2}\text{ = 1} \\ \\ \frac{x^2}{4^2}+\frac{y^2}{1^2}=1 \\ \frac{x^2}{16}+\frac{y^2}{1}=1 \end{gathered}[/tex]

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