Question 754877
write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2)
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Standard form of equation for an ellipse with vertical transverse axis:
{{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=(x,y) coordinates of center
x-coordinate of center=1
y-coordinate of center=2 (midpoint of 5 and -1)
center: (1,2)
length of vertical transverse axis=6 (5 to -1)=2a
a=3
a^2=9
b=2
b^2=4
Equation of given ellipse: {{{(x-1)^2/4+(y-2)^2/9=1}}}