If $2x+3y=5$ is the perpendicular bisector of the segment joining the points $A\bigg[1,\large\frac{1}{3}\bigg]$ and $B$ then $B=$

Question

\[(a)\;\bigg[\frac{21}{13},\frac{49}{39}\bigg] \quad (b)\;\bigg[\frac{17}{13},\frac{31}{39}\bigg] \quad (c)\;\bigg[\frac{7}{13},\frac{49}{39}\bigg] \quad (d)\;\bigg[\frac{21}{13},\frac{31}{39}\bigg]\]