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Q.

If Z1=−3+i,Z2=−3−i  then the principal amplitude of the complex number  Z1Z2 is

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a

−π3

b

π3

c

5π6

d

5π3

answer is C.

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Detailed Solution

Given,  Z1Z2=−3+i−3−i=12−32i

⇒Z1Z2=cos(−π3)+isin(−π3)

 ∴Amplitude of  Z1Z2=−π3.

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