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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Complex numbers
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Greatdreams (3225)

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Olaaa!! Perrrfect answer. 613  [693 rates]

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z = x + iy

mod z = ( x2 + y2)

so 2 ( x2 + y2) - 4 c (x + iy) + 1+ ic = 0

equating real n imaginary parts,

- 4cy + c = 0

so y = 1/4

now put it in the eqn

you get 2  (x2 + 1/16 ) - 4cx + 1 = 0

now you have 4 ( x2 + 1/16) - 8cx + 3/4 = 0
solve for x ,

x = 8c (64 c2 - 12(4c2 - 1) / 8 ( 4 c2 - 1)

c is given  0

put the values of y and you get the complex number

 

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