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The coordinate axes are rotated through ...

The coordinate axes are rotated through an angle `135^(@)`. If the coordinates of a point `P` in the new system are known to be `(4,-3)`, then the coordinates of `P` in the original system are

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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