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

Correct Answer is : a circle with centre on y-axis

a straight line parallel to x-axis

a straight line making an angle 60° with the x-axis

Manipal Entrance Test 2019 Math Paper

Question : 28 of 70

Marks: +1, -0

The locus of the point z satisfying arg(

z−1

z+1

)=k,( where k is non-zero) is

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