# Mark the Correct alternative in the following:Which of the following is correct for any two complex numbers z1 and z2?A. |z1 z2| = |z1| |z2|B. arg(z1 z2) = arg(z1) arg (z2)C. |z1 + z2| = |z1| + |z2|D. |z1 + z2| ≥ |z1| + |z2|

Let, z1= r1e and z2 = r2e

|z1| = r1 and |z2| = r2

Option A

z1z2 = r1r2ei(α+β)

|z1z2| = r1r2 = |z1| |z2|

Option A correct

Option B

arg(z1z2) = α + β

= arg(z1) + arg(z2)

Option B not correct

Let, z1 = a+ ib and z2 = c + id

Option C

z1 + z2 = (a+c) + i(b+d)  We cannot say anything about option c and option d

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