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If the origin of a coordinate system is ...

If the origin of a coordinate system is shifted to `(-sqrt(2).sqrt(2))` and then the coordinate system is rotated anticlockwise through an angle `45^(@)`, the point `P(1,-1)` in the original system has new coordinates

A

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

B

`(0,-2sqrt(2))`

C

`(0,-2-sqrt(2))`

D

`(0,-2+sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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