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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.

A

`(1/sqrt2,7/sqrt2)`

B

`(-sqrt2,7sqrt2)`

C

`(-1/sqrt2,7/sqrt2)`

D

`(sqrt2,7sqrt2)`

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