The value of $k$ for which the line $\large\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ to lie on the plane $2x-4y+3z=6$ is ?

Question

$(a)\:2\:\:\:\qquad\:\:(b)\:\:-2\:\:\:\qquad\:\:(c)\:\:6\:\:\:\qquad\:\:(d)\:\:No\:real\:value\:of\:k$