If the axes are rotated through an angle `45^(@)`, the coordinates of `(2sqrt(2), -3//sqrt(2))` in the new system are

If the axes are rotated through an angle 30^(@), the coordinates of (2sqrt(3),-3) in the new system are

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

If the axes are rotated through an angle 60^(@) then the cpprdinates of a point (2,-4sqrt3) in the old system are

If the axes are rotated through an angle 45^(@) and the point P has new coordinates (2sqrt(2),sqrt(2)) then original coordinates of

(i) If the axes are rotated through an angle 30^(0) , then find the coordinates of (1,2) in the new system . (ii) If the axes are rotated through an angle 30^(0) , then find the coordinates of (-2, 4) in the new system. (iii) When the axes are rotated through an angle (pi)/(2) , find the new coordinates of the point (alpha, 0)

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 coordinate axes are rotated through an angle 135^(@) . If the coordinates of a point P in the new system are known to be (4,-3) , then the coordinates of P in the original system are

If the axes are rotated through an angle 30^(0) , then find the coordinates of (0, 5) in the new system.