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Question

Find the value of ∣∣∣2+i2−i1+i1−i∣∣∣ if i2=−1.

A
A complex quantity
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B
real quantity
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C
0
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D
cannot be determined
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Solution

The correct option is D A complex quantity

2+i2i1+i1i=(2+i)(1i)(2+i)(1+i)=22i+ii222iii2=2i(1)23i(1)=2i+123i+1=4i+2

So, it is a complex quantity.

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