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

Answer

B