Question 1033118: Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse.
10x2 + 80x + 7y2 + 42y + 83 = 0
Found 2 solutions by robertb, ikleyn:
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! 
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==> the center of the ellipse is the point (-4,-3).
Now  and  ==>  , because for any ellipse,  .
(Also the major axis is parallel to the y-axis, while the minor axis is parallel to the x-axis.)
==> the vertices are (-4,  ) and (-4,  ),
the co-vertices are ( ,-3) and ( ,-3),
while the foci are (-4,  ) and (-4,  ).
Answer by ikleyn(52797)  (Show Source):
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