1.

The modulus and amplitude of \[\frac{1+2i}{1-{{(1-i)}^{2}}}\] are  [Karnataka CET 2005]

A. \[\sqrt{2}\text{ and }\frac{\pi }{6}\]
B. 1 and 0
C. 1 and \[\frac{\pi }{3}\]
D. 1 and \[\frac{\pi }{4}\]
Answer» C. 1 and \[\frac{\pi }{3}\]


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