Question 539898
Focus at (0,1); 4/3 is One-Half the Length of Minor Axis.
Write equation of the ellipse that has center at the Origin.
**
This is an ellipse with vertical major axis. Standard form of equation: 
(x-h)^2/b^2-(y-k)^2/a^2=1, a>b, (h,k) being (x,y) coordinates of the center. 
center:(0,0)
One-Half the Length of Minor Axis=4/3=b
b^2=16/9
c=distance from center to focus=1
c^2=1^1=1
c^2=a^2-b^2
a^2=c^2+b^2=1+16/9=9/9+16/9=25/9
Equation of given ellipse:
9x^2/16+9y^2/25=1