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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+i121−i∣∣
∣∣=(2+i)∣∣
∣∣0−2i−10−1+2i2i121−i∣∣
∣∣byR1→R1−R2R2→R2−R3=(2+i){−4i2+(−1+2i)}=(2+i)(4−1+2i)=(2+i)(3+2i)=4+7i.