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AP EAMCET202420 May 2024Morning ShiftMathematicsComplex NumberActual

S= z C /|z+1-i|=1 represents

Options

  1. Athe circle with centre at (-1,1) and radius 1 unit
  2. Bthe circle with centre at (1,-1) and radius 1 unit
  3. Cthe closed circular disc with centre at (1,-1) and radius 1 unit
  4. Dthe closed circular dise with centre at (-1,1) and radius 1 unit

Correct answer

A. the circle with centre at (-1,1) and radius 1 unit

Step-by-step solution

S= z C | z+1-i =1 |z+1-i|=1 |(x+1)+i(y-1)|=1 (x+1)^2+(y-1)^2=1 Which is circle with center at (-1,1) and radius 1 unit.

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