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The point (4, 1) undergoes the following...

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:

A

`(7/sqrt2, (-5)/sqrt2)`

B

`((6+sqrt3)/2,(1-6sqrt3)/2)`

C

`((6sqrt3-1)/2,(6+sqrt3)/2)`

D

`((6sqrt3+1)/2,(sqrt3-6)/2)`

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The correct Answer is:
D
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