JEE Math Practice Question

Let $$Q$$ be the foot of perpendicular drawn from the point $$P(1,2,3)$$ to the plane $$x+2 y+z=14$$. If $$R$$ is a point on the plane such that $$\angle P R Q=60^{\circ}$$, then the area of $$\triangle P Q R$$ is equal to :

1. A.$$\frac{\sqrt{3}}{2}$$
2. B.$$ \sqrt{3}$$
3. C.$$2 \sqrt{3}$$
4. D.3