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Question

Mathematics Question on Complex Numbers and Quadratic Equations

The complex number z=x+iyz = x + iy satisfy the equation z5iz+5i=1|\frac {z-5i}{z+5i}| = 1 lies on

A

the xaxisx-axis

B

the straight line y=5y = 5

C

a circle passing through origin

D

None of the above

Answer

the xaxisx-axis

Explanation

Solution

Answer (a) the xaxisx-axis