If the points $(1,1,p)$ and $(-3,0,1)$ are at equidistant from the plane $\overrightarrow {r} . (3 \hat {i} +4 \hat {j} -12 \hat {k}) + 13 = 0,$ then find the value of p.

Question

$(a)\; 1 , \; 7/3$
$(b)\; -1, \; -7/3$
$(c)\; -1, \; 7/3$
$(d)\; 1, \;-7/3$