If the axes are rotated through `60^@` in anticlockwise direction about origin. Find co-ordinates of point(2,6) in new co-ordinate axes.

Keeping the origin constant axes are rotated at an angle 30^@ in anticlockwise direction then new coordinate of (2, 1) with respect to old axes is

Point A(9,12) rotates around the origin O in a plane through 60^(@) in the anticlockwise direction to a new position B. Find the coordinates of the point B.

Find the distance of the point (1,2,3) from the co ordinate axes.

If the axes are rotated through an angles 30° in the anticlockwise direction and the point is (4, -2 sqrt3) in the new system, the formal point is

A point P is reflected in the origin. Co-ordinates of its image are (-2, 7). Find the co-ordinate of P.

If the axes are rotated through an angle of 45^(0) and the point p has new co-ordinates (2 sqrt(2), sqrt(2)) then original coordinates of p are

The Co-ordinates of the point of origin are .....