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Question

The value of ∣∣∣2+i2−i1+i1−i∣∣∣ is, where (i2=−1)

A
1i
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B
purely imaginary
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C
1+i
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D
a real quantity
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Solution

The correct option is B purely imaginary
We have,
2+i2i1+i1i=(2+i)(1i)(2i)(1+i)=22i+ii222i+i+i2=2i

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