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AP EAMCET202123 Aug 2021Morning ShiftMathematicsComplex NumberActual

If z C , then the minimum value of |z|+|2 z-3|+|z-1| is

Options

  1. A2
  2. B1
  3. C3
  4. D0

Correct answer

A. 2

Step-by-step solution

aligned & |z|+|2 z-3|+|z-1|=|z|+|3-2 z|+|z-1| & |z+z-1+3-2 z| [ |z₁+z₂ | |z₁ |+ |z₂ | ] & |2| & Minimum value of |z|+|2 z-3|+|z-1| is 2 aligned

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