`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.

ABCD is a square whose vertices A(0,0) B (2,0), C(0,2). This square is rotated in the xy-plane with an angle of 30^@ in aniclockwise direction about an axis passing through the vertex A, the equation of the diagonal BD of this rotated square is ……… . If E is the centre of the square, the equation of the cirecumcircle of the triangle ABE is

ABCD is a square whose vertices A(0,0) B (2,0), C(0,2). This square is rotated in the xy-plane with an angle of 30^@ in aniclockwise direction about an axis passing through the vertex A, the equation of the diagonal BD of this rotated square is

Show that A(3, 2), B(0, 5), C(-3, 2) and D(0, -1) are the vertices of a square.

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.

Show that the quadrilateral with vertices A(3,2), B(0,5), C(-3,2), D(0,-1) is a square.

The line segment joining A(3, 0) and B(5, 2) is rotated about A in the anticlockwise direction through an angle of 45^0 so that B goes to C . If D is the reflection of C in y-axis, find the coordinates of D .

The line segment joining A(3, 0) and B(5, 2) is rotated about A in the anticlockwise direction through an angle of 45^0 so that B goes to C . If D is the reflection of C in y-axis, find the coordinates of D .

The line segment joinign A(3,0),B(5,2) is rotated about a point A in anticlockwise sense through an angle (pi)/4 and B move to C.If a point D be the reflection of C in -axis, then D=