SOLUTION: Find the center,foci, vertices and lengh\th of the axes for the ellipse Equation:4x^2+y^2+24x-10y+45=0

Question 856394: Find the center,foci, vertices and lengh\th of the axes for the ellipse
Equation:4x^2+y^2+24x-10y+45=0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

That is the equation of an ellipse
centered at ,
with major axis parallel to the y-axis
and semi-major axis ,
with minor axis parallel to the x-axis
and semi-major axis ,
and a focal distance such that
so
or so
-->-->-->-->

The vertices are 4 units above and 4 units below the center,
at and .
The foci are above and below the center,
at and .
The length of the major axis is the distance between the vertices
.
The length of the minor axis is
.
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