If \[z=\sqrt{2}-i\sqrt{2}\] is rotated through an angle \[45{}^\circ \] in the anti-clockwise direction about the origin, then the coordinates of its new position are [Kerala (Engg.) 2005]

If \[z=\sqrt{2}-i\sqrt{2}\] is rotated through an angle \[45{}^\circ

1.	If \[z=\sqrt{2}-i\sqrt{2}\] is rotated through an angle \[45{}^\circ \] in the anti-clockwise direction about the origin, then the coordinates of its new position are [Kerala (Engg.) 2005]
A.	(2, 0)
B.	(\[\sqrt{2},\,\sqrt{2}\])
C.	\[(\sqrt{2},\,-\sqrt{2}\])
D.	\[(\sqrt{2},0)\]
E.	(4, 0)
Answer» E. (4, 0)

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If \[z=\sqrt{2}-i\sqrt{2}\] is rotated through an angle \[45{}^\circ \] in the anti-clockwise direction about the origin, then the coordinates of its new position are [Kerala (Engg.) 2005]

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