# A plane passes through $(2,3,1)$ and is perpendicular to the line having direction ratios $3,-4,7$.The perpendicular distance from the origin to this plane is

$\begin {array} {1 1} (a)\;\frac{3}{\sqrt {74}} & \quad (b)\;\frac{5}{\sqrt {74}} \\ (c)\;\frac{6}{\sqrt {74}} & \quad (d)\;\frac{13}{\sqrt {74}} \end {array}$

$(d)\;\frac{13}{\sqrt {74}}$