Let z be a complex number such that |z|+z=3+i (where i= -1). Then |z| is equal to:

Question

Accepted Answer

Correct answer: B. (b) JEE Main 2019 Since, (z )+z=3+i Let z=a+ ib, then (z )+z=3+i ⇒ a^2+b^2+a+ ib=3+i Compare real and imaginary coefficients on both sides b=1 , a^2+b^2+a=3 a^2+1=3-a a^2+1=a^2+9-6a 6a=8 a= 43 Then, (z )= ( 43 )^2+1= 169+1=4= 53

$Let z be a complex number such that ∣ z ∣ + z = 3 + i (where i = - 1). Then ∣ z ∣ is equal to:$

Solution

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