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AP EAMCET202524 May 2025Morning ShiftMathematicsComplex NumberActual

If the point P denotes the complex number z = x + iy in the Argand plane and z-(2-i) z+(1+2 i) is purely imaginary number, then the locus of P is

Options

  1. Aa hyperbola not containing the point (-1,-2)
  2. Ban ellipse not containing the point (-1,-2)
  3. Ca parabola not containing the point (-1,-2)
  4. Da circle not containing the point (-1,-2) and having its centre on the line x+y+1=0

Correct answer

D. a circle not containing the point (-1,-2) and having its centre on the line x+y+1=0

Step-by-step solution

No Solution

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