The locus of a point such that the sum of its distance from the points $(0,2)$ and $(0,-2)$ is $6,$ is

Question

\[\begin {array} {1 1} (a)\;9x^2-5y^2=45 & \quad (b)\;5x^2+9y^2=45 \\ (c)\;9x^2+5y^2=45 & \quad (d)\;5x^2-9y^2=45 \end {array}\]