The Centers of Ellipses (h,k)

Let $\frac{(x-3)^2}{a^2} + \frac{(y-4)^2}{b^2} = 1$ be an ellipse which goes through the point $(6, 3)$. Which of the following points must the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ go through?