Question:medium

The locus of the point \(z\) satisfying \(\arg\left(\frac{z-1}{z+1}\right) = k\) (where \(k\) is non-zero) is

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\(\arg((z - z_1)/(z - z_2)) =\) constant gives circle through \(z_1\) and \(z_2\).
Updated On: Apr 7, 2026
  • a circle with centre on y-axis
  • circle with centre on x-axis
  • a straight line parallel to x-axis
  • a straight line making an angle 60° with the x-axis
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The Correct Option is A

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