Question 678539: Find the standard form of the equation of an ellipse satisfying these conditions. Vertices (7,5),(7-1) and the length of the minor axis is 4 Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find the standard form of the equation of an ellipse satisfying these conditions. Vertices (7,5),(7-1) and the length of the minor axis is 4
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Given information show that this is an ellipse with vertical major axis.
Its standard form of equation:, a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
x-coordinate of center=7
y-coordinate of center=2 (midpoint of 5 and -1)
center:((7,2)
length of vertical major axis=6 (-1 to 5)=2a
a=3
a^2=9
given length of minor axis=4=2b
b=2
b^2=4
Equation of given ellipse:
(