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Questions  

 If ' z 'lies on the circle |z3i|=32 , then the value of argz3z+3 is equal to 

a
π3
b
π4
c
π6
d
π2

detailed solution

Correct option is B

Given ' z 'lies on the circle |z−3i|=32CA=CB=32,OC=3⇒OA=OB=3⇒A=3+0i,B=−3+0i Clearly, ∠BCA=π2⇒∠BPA=π4⇒arg⁡z−3z+3=π4

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