A) Infinite
B) 1
C) 2
D) None of these
Correct Answer: D
Solution :
Since \[1-i=\sqrt{2}\left\{ \cos \frac{\pi }{4}-i\sin \frac{\pi }{4} \right\},|1-i|=\sqrt{2}\] \[\therefore \]\[|1-i{{|}^{x}}={{2}^{x}}\]Þ\[{{(\sqrt{2})}^{x}}={{2}^{x}}\]Þ \[{{2}^{x/2}}={{2}^{x}}\] Þ \[\frac{x}{2}=x\]Þ \[x=0\] Therefore, the number of non-zero integral solutions is nil or zero.You need to login to perform this action.
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