`A B C D` is a square whose vertices are `A(0,0),B(2,0),C(2,2),` and `D(0,2)` . The square is rotated in the `X Y-p l a n e` through an angle `30^0` in the anticlockwise sense about an axis passing though `A` perpendicular to the `X Y-p l a n e` . Find the equation of the diagonal `B D` of this rotated square.

Options

A. `sqrt(3)x+(1-sqrt(3))=y=sqrt(3),x^(2)+y^(2)=4`
B. `(1+sqrt(3))x-(1-sqrt(2))y=2,x^(2)+y^(2)=9`
C. `(2-sqrt(3))x+y=2(sqrt(3)-1),x^(2)+y^(2)-xsqrt(3)-y=0`
D. None of the above

Answer

C