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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 unit along the positive direction of x-axis
(iii) rotation through an angle of `pi/4` about the origin in the anticlockwise direction
The final position of the point is :

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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