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The point P(1,4) occupies the positions ...

The point P(1,4) occupies the positions A, B and C respectively after undergiong the following three transformation successively.
I. Reflection about the line y=x.
II. Translation about a distance of 1 unit along the positive direction of X-axis.
III. Rotation of the line OB through an angle `(pi)/(4)` about the origin in the anti-clockwise direction. Then the coordinates of C are

A

`(sqrt2,2sqrt2)`

B

`(2sqrt2,3sqrt2)`

C

`((5)/(sqrt2),(7)/(sqrt2))`

D

`((2)/(sqrt2),(3)/(sqrt2))`

Text Solution

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The correct Answer is:
B
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