JEE Math Practice Question

Let the plane P pass through the intersection of the planes $$2x+3y-z=2$$ and $$x+2y+3z=6$$, and be perpendicular to the plane $$2x+y-z+1=0$$. If d is the distance of P from the point ($$-$$7, 1, 1), then $$\mathrm{d^{2}}$$ is equal to :

1. A.$$\frac{250}{83}$$
2. B.$$\frac{250}{82}$$
3. C.$$\frac{15}{53}$$
4. D.$$\frac{25}{83}$$