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Ask iit jee aieee pet cbse icse state board experts Expert Question: Let z,w be complex numbers such that
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deepak2009 (0)

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z+iw = 0 ; arg zw =  find the value of arg z
    
nadeemoidu (1184)

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let z= r eiA
w= -z/i = -reiA /ei(pi/2)


== -rei(A-pi/2)

zw = -r 2 e i(2A -pi/2)

2A-pi/2=pi
2A=3pi/2
A=3pi/4
 
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iitkgp_bipin (5804)

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Well done nadeemoidu.

Write z in the polar form and substitute it in the given equation and then use two equations to get arg(z).

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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