Complex NumbersHard

Question

The complex number z = x + iy which satisfy the equation lie on :

Options

A.the x-axis
B.the straight line y = 5
C.a circle passing through the origin
D.the y-axis

Solution

|z – 5i| = |z + 5i| implies perpendicular bisector of line joining 5i & – 5i which is real axis.|z - 5i| = |z + 5i| implies perpendicular bisector of line joining 5i & - 5i
which is real axis.

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