Question 693660
Find an equation of the ellipse that has center (1,3) , a major axis of length 12 , and endpoint of minor axis (0,3) .
**
Standard form of equation for an ellipse with vertical major axis: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b,  (h,k)=(x,y) coordinates of center.
given center: (1,3)
given length of vertical major axis:=12=2a
a=6
a^2=36
length of minor axis=6=2b
b=3
b^2=9
equation of given ellipse:  {{{(x-1)^2/9+(y-3)^2/36=1}}}