The equation of the circle passing through the foci of the ellipse \(\dfrac{x^{2}}{16}+\dfrac{y^{2}}{9}=1\), and having centre at \((0,3)\) is

1
\(x^{2}+y^{2}-6y+7=0\)
2
\(x^{2}+y^{2}-6y-5=0\)
3
\(x^{2}+y^{2}-6y+5=0\)
4
\(x^{2}+y^{2}-6y-7=0\)

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