MTH103 TMA4 Questions and Solutions : 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.

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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