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Complex Numbers question

2014 · Shift 0 · Q42
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Complex Numbers question

2014 · Shift 0 · Q42

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If z is a complex number such that  ∣z∣≥2 \,\left| z \right| \ge 2\,∣z∣≥2, then the minimum value of   ∣z+12∣\,\,\left| {z + {1 \over 2}} \right|​z+21​​ :
  1. A
    is strictly greater that 52{{5 \over 2}}25​
  2. B
    is strictly greater that 32{{3 \over 2}}23​ but less than 52{{5 \over 2}}25​
  3. C
    is equal to 52{{5 \over 2}}25​
  4. D
    lie in the interval (1, 2)
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