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AP EAMCET201726 Apr 2017Morning ShiftMathematicsComplex NumberActual

If z is a complex number with |z| 5 . Then the least value of |z+ 2 z | is

Options

  1. A24 5
  2. B26 5
  3. C23 5
  4. D29 5

Correct answer

C. 23 5

Step-by-step solution

We have given, |z| 5 aligned & Now, |z+ 2 z | |z|- | 2 z |=|| z |+ 2 z | & =|| z |+2 ( -1 |z| ) | |5- 2 5 | & |z+ 2 z | 23 5 aligned Thus, the least value of | 2 | is 23

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