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AP EAMCET202316 May 2023Evening ShiftMathematicsComplex NumberActual

If is the modulus of z₁=4+3 i , then a point that does not lie in the region represented by |z- z₁ | is

Options

  1. Az₁-2 i
  2. Bz ₁
  3. C2 z₁-7 i
  4. D3 z ₁-(10+8 i )

Correct answer

B. z ₁

Step-by-step solution

Given z₁=4+3 i |z₁ |= = 4^2+3^2 =5 Now, |z- 4+3 i | 5 |z-(4-3 i)| 5 If we put z =4+3 i |4+3 i-4+3 i|=|6 i| 5 so z₁ is not lies in |z-z₁ |

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