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

Question:

Let $z$ be a complex number such that $|z|+z=3+i$ $($ where $i=\sqrt{-1})$.

Then $|z|$ is equal to:

  1. $\frac{\sqrt{34}}{3}$

  2. $\frac{5}{3}$

  3. $\frac{\sqrt{41}}{4}$

  4. $\frac{5}{4}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Jan. 11, 2019 (II)

Solution:

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