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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

`(4/sqrt2,1/sqrt2)`

B

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

C

`(1/sqrt2,7/sqrt2)`

D

`(3/sqrt2,4/sqrt2)`

Text Solution

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The correct Answer is:
B
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