If z 1 = 1 - 2 i , z 2 = 1 + i and z 3 = 3 + 4 i , then 1 z 1 + 2 z 2 z 3 z 2 =

Question

If z 1 = 1 - 2 i , z 2 = 1 + i and z 3 = 3 + 4 i , then 1 z 1 + 2 z 2 z 3 z 2 =, 7 2, 5 2, 45 2, 15 2

MARKS App · Accepted Answer

1 z 1 + 2 z 2 z 3 z 2 = 1 1 - 2 i + 2 1 + i z 3 z 2 = 1 + 2 i 1 - 2 i 1 + 2 i + 2 1 - i 1 + i 1 - i 3 2 + 4 2 1 2 + 1 2 = 1 + 2 i 5 + 2 + 2 i 2 5 2 = 5 2 1 5 + 2 i 5 + 1 - i = 1 2 6 - 3 i = 45 2

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