Find equation of an ellipse whose major axis is vertical, with the center located (-1,3) at the distance between the center and one of the covertices equal to 4, and the distance between the center and one of the vertices equal to 6.
a) \[\frac{(x-1)^{2}}{16}-\frac{(y-3)^{2}}{36}=1\]
b) \[\frac{(x-1)^{2}}{16}+\frac{(y-3)^{2}}{36}=1\]
c) \[\frac{(x+1)^{2}}{16}+\frac{(y+3)^{2}}{36}=1\]
d) \[\frac{(x+1)^{2}}{16}+\frac{(y-3)^{2}}{36}=1\]
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