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A B C D is a square whose vertices are A...

`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.

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

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The correct Answer is:
C
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