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Question

1+2i+3i212i+3i2 equals


A

i

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B

-1

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C

-i

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D

4

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Solution

The correct option is C

-i


Let z=1+2i+3i212i+3i2 z=1+2i312i3 z=2+2i22i×2+2i2+2i z=(2+2i2)(2)2(2i)2 z=4+4i28i4+4 z=448i8 z=8i8 z=i


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