Question 519702: find an equation of the ellipse with foci at (-5,0) and (5,0) and minor axis of length 24.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find an equation of the ellipse with foci at (-5,0) and (5,0) and minor axis of length 24.
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This is an equation of an ellipse with horizontal major axis of the standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given equation:
based on foci coordinates, center at (0,0)
2b=length of minor axis=24
b=12
b^2=144
c=5
c^2=25
c^2=a^2-b^2
a^2=c^2+b^2=25+144=169
a=√169=13
Equation of given ellipse:
(x-0)^2/169+(y-0)^2/144=1
x^2/169+y^2/144=1
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