JEE Math Practice Question

Let A be a point on the line $$\overrightarrow r = \left( {1 - 3\mu } \right)\widehat i + \left( {\mu - 1} \right)\widehat j + \left( {2 + 5\mu } \right)\widehat k$$ and B(3, 2, 6) be a point in the space. Then the value of $$\mu $$ for which the vector $$\overrightarrow {AB} $$ is parallel to the plane x $$-$$ 4y + 3z = 1 is -

1. A.$${1 \over 8}$$
2. B.$${1 \over 2}$$
3. C.$${1 \over 4}$$
4. D.$$-$$ $${1 \over 4}$$