For the ellipse given, the center (2,2), focus (2,0), and vertex (2,5).
The general form of the ellipse is
[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex][tex]\frac{(x-2)^2}{b^2}+\frac{(y-2)^2}{a^2}=1[/tex][tex]a=5-2=3[/tex]
To determine the value of b,
[tex]c^2=a^2-b^2[/tex][tex]4=9-b^2[/tex][tex]b^2=5[/tex]
Thus the equation of ellipse formed is
[tex]\frac{(x-2)^2}{5}+\frac{(y-2)^2}{9}=1[/tex]
The correct option is B.
