If three complex numbers are in A.P, then they lie on:
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As three complex numbers so let's take a,b,c
So b-a = c-b=> Real part of (b-a) = Real part of (c-b) and imaginary part of (b-a) = imaginary part of (c-b) hence the slope of lines containing (a,b) and (b,c) is same so a,b,c lie on the line .
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