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Q.

If $z_{1} . z_{2} ........ z_{n} = z,$ then $a r g z_{1} + a r g z_{2} + ....$ $+ a r g z_{n}$ and $a r g z$ differ by a

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a

Multiple of $\frac{π}{2}$

b

Multiple of $π$

c

Greater than $π$

d

Less than $π$

answer is A.

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Detailed Solution

We know that the principal value of $θ$ lies between $- π$ and $π$ .

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