Question 1080390:  Which of these descriptions of ellipses matches this equation? The ellipse is centered on the origin (0, 0).
 
y^2/64 + x^2/48 = 1
 
The ellipse has foci at (8, 0) and (-8, 0), and it has vertices at (4, 0) and (-4, 0). 
The ellipse has foci at (0, 8) and (0, -8), and it has vertices at (0, 4) and (0, -4). 
The ellipse has foci at (0, 4) and (0, -4), and it has vertices at (0, 8) and (0, -8). 
The ellipse has foci at (4, 0) and (-4, 0), and it has vertices at (8, 0) and (-8, 0). 
 
 Answer by ikleyn(52903)      (Show Source): 
You can  put this solution on YOUR website! . 
Which of these descriptions of ellipses matches this equation? The ellipse is centered on the origin (0, 0).
 
y^2/64 + x^2/48 = 1
 
 
The ellipse has foci at (8, 0) and (-8, 0), and it has vertices at (4, 0) and (-4, 0).
The ellipse has foci at (0, 8) and (0, -8), and it has vertices at (0, 4) and (0, -4).
The ellipse has foci at (0, 4) and (0, -4), and it has vertices at (0, 8) and (0, -8).    <<<---===  !!!
The ellipse has foci at (4, 0) and (-4, 0), and it has vertices at (8, 0) and (-8, 0).
 
 
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    - Ellipse definition, canonical equation, characteristic points and elements 
 
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