If z is a complex number such that z ³ 2, then the minimum value of 1 : 2

Question:

If $z$ is a complex number such that $|z| \geq 2$, then the minimum value of $\left|z+\frac{1}{2}\right|$ :

  1. is strictly greater than $\frac{5}{2}$

  2. is strictly greater than $\frac{3}{2}$ but less than $\frac{5}{2}$

  3. is equal to $\frac{5}{2}$

  4. lie in the interval $(1,2)$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year 2014

Solution:

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