If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be:

Question:

If $z$ be a complex number satisfying $|\operatorname{Re}(z)|+|\operatorname{Im}(z)|=4$, then $|z|$ cannot be:

  1. $\sqrt{\frac{17}{2}}$

  2. $\sqrt{10}$

  3. $\sqrt{7}$

  4. $\sqrt{8}$


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Jan. 9, 2020 (II)

Solution:

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