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

The point `(4,1)` undergoes the following transformations successively
I. Reflection about the line `y =x`
II. Translation through a distance 2 units in the direction of positive X-axis.
III. Rotation through an angle `pi/4` about origin in the anticlock wise direction.
Then, the final position of the point is

A

`(-sqrt(18),sqrt(18))`

B

`(-2,3)`

C

`(0,sqrt(18))`

D

`(0,3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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