If Re ( z-1 2 z+i )=1 , where z = x + iy, then the point (x, y) lies on a:

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. Straight line whose slope is \(-\frac{2}{3}\)
2. Straight line whose slope is \(\frac{3}{2}\)
3. Circle whose diameter is \(\frac{\sqrt{5}}{2}\)
4. Circle whose center is at \(\left(-\frac{1}{2},-\frac{3}{2}\right)\)

Answer

(C) Circle whose diameter is 5 2

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