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Ask iit jee aieee pet cbse icse state board experts Expert Question: Complex numbers
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anant_c (49)

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A+ib=i^i^i.....infinity

then A^2+b^2=?


is it e^-piB/2
    
b_srikalyan009 (350)

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the answer is

e^-(b pi)
this is a simple 1 u need solution or just answer?



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anant_c (49)

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tnx..no ill try myself first
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iitkgp_bipin (6144)

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You must remember : ii = e-pi/2

form the given relation : A+iB = iA+iB

A+iB = iA.iiB

A+iB = iA.e-(pi/2)B

Now take modulus on both sides and square :

| A+iB |2 = | iA|2.|e-(pi/2)B|2

A2 + B2 = e-pi.B
 



Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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