If $A,B,C$ are three points on $x\:axis,\:y\:axis\:and\:z\:axis$ respectively which are at the distances $a,b,c$ from origin respectively and $P$ is a point which is equidistant from $A,B,C,O$ then the coordinates of $P$ is?

Question

$(a)\;(a,b,c)\qquad(b)\;(\large\frac{a}{2},\frac{b}{2},\frac{c}{2})\qquad(c)\;(\large\frac{a}{3},\frac{b}{3},\frac{c}{3})\qquad(d)\;(2a,2b,2c)$