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

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle `pi/4` about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

`((1)/(sqrt(2)),(7)/(sqrt(2)))`

`(-sqrt(2),7sqrt(2))`

`(-(1)/(sqrt(2)),(7)/(sqrt(2)))`

`(sqrt(2),7sqrt(2))`

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