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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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