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Question

∣ ∣1+i1ii1ii1+ii1+i1i∣ ∣=

A
-4-7i
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B
4+7i
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C
3+7i
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D
7+4i
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Solution

The correct option is B 4+7i
Δ=(2+i)∣ ∣11i11+2i1+i121i∣ ∣=(2+i)∣ ∣02i101+2i2i121i∣ ∣ by R1R1R2R2R2R3=(2+i){4i2+(1+2i)}=(2+i)(41+2i)=(2+i)(3+2i)=4+7i.

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