The equation of the plane passing through the point $(1,1,1)$ and having direction ratios $b,c,a$ $(a < b < c)$, where $a,b,c$ are prime factors of $2001$ is ?

Question

$(a)\:29x+31y+3z=63\:\:\qquad\:(b)\:23x+29y-29x=23\:\:\qquad\:(c)\:23x+29y+3z=55\:\:\qquad\:(d)\:31x+3zy+3z=71$