The point (4, 1) undergoes the following three transformations successively:
(i) reflection about the line y = x (ii) translation through a distance of 2 units along the positive direction of x-axis (ii) rotation through an angle of `(pi)/(4)` about the origin in the counter-clockwise direction. The final position of the point is given by:

Options

A. `(9/sqrt2, 1/sqrt2)`
B. `(9/sqrt2, (-1)/sqrt2)`
C. `((-9)/sqrt2, (-1)/sqrt2)`
D. `((-9)/sqrt2, 1/sqrt2)`

Answer

B