When axes are rotated through an angle of `45^@` in positive direction without changing origin then the coordinates of `(sqrt2,4)` in old system are

If the axes are rotated through an angle 45^(@) in the positive direction without changing the origin, then the coordinates of the point (sqrt(2),4) in the old system are

When the axes are rotated through an angle of 60^(0) the point P is changed as (3,4) . Find original coordinates of P .

If the axes are rotated through an angle 180^(@) in the positive direction, the new coordinates of (x,y) are

If z=sqrt(2)- isqrt(2) si rotated through an angle 45^(@) in the anti-clockwise direction about the origin, then the co-ordianates of its new position are

If the axes are rotated through an angle 45^(0) in the anti-clockwise direction, the coordinates of (sqrt(2), - sqrt(2)) in the new system are

A point (1, 1) undergoes reflection in the x-axis and then the coordinates axes are rotated through an angle of pi/4 in anticlockwise direction. The final position of the point in the new coordinate system is

If z= sqrt2 - i sqrt2 is rotated through an angle 45^(@) in the anticlock wise directions about the origin, then the co-ordinates of its new positions are : a)(2,0) b) ( sqrt2, sqrt2) c) (sqrt2,-sqrt2) d) (sqrt2,0)

If the axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

If the axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are