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Question

The number of non-zero integral solutions of the equation |1i|x=2x is


A

zero

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B

1

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C

2

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D

None of these

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Solution

The correct option is A

zero


Since1-i = 2 [cosπ4isinπ4], |1-i|

|1i|x=2x (2)x=2x 2x/2 =2x

x2=x then x=0.

Therefore, the number of non-zero integral solutions is nil or Zero.


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