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JEE Main 2014

JEE Main 2014 Mathematics question on Complex Numbers and Quadratic Equations

If zz is a complex number such that ∣z∣≥2|z| \geq 2, then the minimum value of ∣z+12∣\left|z + \frac{1}{2}\right|
  1. A.
    is equal to 5/25/2
  2. B.
    lies in the interval (1,2)(1, 2)
  3. C.
    is strictly greater than 5/25/2
  4. D.
    is strictly greater than 3/23/2 but less than 5/25/2
Show answer

Correct option: B

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