If the axes are rotated through an angle `(pi)/(4)` and the point P has new coordinates `(2sqrt(2),sqrt(2))`,then original coordinates of P 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

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

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

When the axes are rotated through an angle 60^(@) ,the new coordinates of the point are (-7,2) , if its original coordinates are (alpha, beta) then (2)/(53)(-7 alpha+2 beta)=

The point (4,3) is translated to the point (3,1) and then the axes are rotated through an angle of 30^(@) about the origin,then the new coordinates of the point ((1)/(sqrt(2)),(sqrt(3)-1)/(2)) , ((sqrt(3)+2)/(2),(2sqrt(3)+1)/(2)) , ((sqrt(3))/(2),(2sqrt(3))/(5)) , ((sqrt(3)+2)/(2),(2sqrt(3)-1)/(2))

If the axes are rotated through an angle of 30^(@) in the anti clockwise direction,then coordinates of point (4,-2sqrt(3)) with respect to new axes are

Convert into Cartesian coordinates: ((sqrt2+1)/sqrt2,pi/4)

If origin is shifted to the point (2,3) and the axes are rotated through an angle pi//4 in the anticlokwise direction, then find the coordinates of the point (7, 11) in the new system of coordinates.

A point (2,2) undergoes reflection in the x . axis and then the coordinate axe are rotated through an angle of (pi)/(4) in anticlockwise direction.The final position of the point in the new coordinate system is

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