SOLUTION: Choose the equation that best represents an ellipse for the given foci and co-vertices.
foci (+or- 2, 0)
co-vertices (0, +or- 4)
(a) x^2/20 + y^2/16 =1
(b) x^2/16 + y^2/20
Algebra ->
Quadratic-relations-and-conic-sections
-> SOLUTION: Choose the equation that best represents an ellipse for the given foci and co-vertices.
foci (+or- 2, 0)
co-vertices (0, +or- 4)
(a) x^2/20 + y^2/16 =1
(b) x^2/16 + y^2/20
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foci (+or- 2, 0)
co-vertices (0, +or- 4)
(a) x^2/20 + y^2/16 =1
(b) x^2/16 + y^2/20 =1
(c) x^2/9 - y^2/36= 1
(d) y^2/6 - x^2/1 =1
All the choices have center (0,0)
It can't be (c) or (d) for the minus sign tells us they're
hyperbolas, not ellipses.
It can't be (b) because the smaller denominator being
under the x² term means the ellipse has vertices and foci
on the y-axis and covertices on the x-axis, and is shaped
like this "" . But the given foci are on the x-axis and
the covertices are on the y-axis, making it shaped like
this "". So by elimination, the answer is (a).
Edwin