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Question

The value of 4+5(12+i32)334+3(12i32)335 is

A
1i3
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B
1+i3
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C
43i
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D
i3
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Solution

The correct option is A 43i
4+5(12+i32)334+3(12i32)335
=4+5ω334+3ω670[ω2=12i32]
=4+5ω+3ω=4+9ω
=4+8(12+i32)=43i
Hence choice (c) is correct.

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