SOLUTION: Find the vertices, the endpoints of the minor axis, and the foci of the given ellipse.
10x2 + 80x + 7y2 + 42y + 83 = 0
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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!
<==>
==>
==>
==> 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(52798) (Show Source): You can put this solution on YOUR website!
.
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