The point P(1,3) undergoes the following transformations successively :
(i) Reflection with respect to the line y = x
(ii) Translation through 3 units along the positive direction of the X-axis
(iii) Rotation through an angle of `(pi)/(6)` about the origin in the clockwise direction. The final position of the point P is

Options

A. `(7/sqrt(2), -5/sqrt(2))`
B. `((6+sqrt(3)- 1)/2, (6+sqrt(3))/2)`
C. `((6sqrt(3)-1)/2, (6+sqrt(3))/2)`
D. `((6sqrt(3)+1)/2 , (sqrt(3)-6)/2)`

Answer

D