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AP EAMCET202420 May 2024Evening ShiftMathematicsComplex NumberActual

If z₁=10+6 i, z₂=4+6 i an z is any complex number such that the argument of (z-z₁ ) (z-z₂ ) is 4 , then

Options

  1. A|z-7-9 i|=3 2
  2. B|z-7-9 i|=2 2
  3. C|z-3+9 i|=3 2
  4. D|z+3-9 i|=2 2

Correct answer

A. |z-7-9 i|=3 2

Step-by-step solution

arg ( z-z₁ z-z₂ )= 4 Locus of z lies on circle Angle subtended at centre = 2 Centre of circle is (7+9 i) Radius =3 2 |z-(7+9 i)|=3 2

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