The amplitude of \[\frac{1+\sqrt{3}\,i}{\sqrt{3}+i}\] is [DCE 1999; Karnataka CET 2005]

The amplitude of \[\frac{1+\sqrt{3}\,i}{\sqrt{3}+i}\] is [DCE 1999;

1.	The amplitude of \[\frac{1+\sqrt{3}\,i}{\sqrt{3}+i}\] is [DCE 1999; Karnataka CET 2005]
A.	\[\frac{\pi }{6}\]
B.	\[-\frac{\pi }{6}\]
C.	\[\frac{\pi }{3}\]
D.	None of these
Answer» B. \[-\frac{\pi }{6}\]

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The amplitude of \[\frac{1+\sqrt{3}\,i}{\sqrt{3}+i}\] is [DCE 1999; Karnataka CET 2005]

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