What is the equation of an ellipse with center at the origin, a vertex at (0,6) and a focus at (,0)?

_{
}(A)

_{
}(B)

_{
}(C)

_{
}(D)

Because the vertex is at (0,6), we
know that a^{2} has to be the
denominator of y and b^{2}_{ }has to be the denominator or x. In order to find b:

c^{2}=a^{2}-b^{2}

(3√3)^{2}=6^{2}-b^{2}

27 = 36 - b^{2}

b^{2}=9

b = 3

Thus, we have