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The complex number z = x + iy which satisfy the equation |z - 5i / z + 5i| = 1 lie on

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in Complex Numbers by (51.1k points)

The complex number z = x + iy which satisfy the equation \(\left|\frac{z-5i}{z+5i}\right|=1\) lie on

a. the x-axis

b. the straight line y = 5

c. a circle passing through the origin

d. none of these

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1 Answer

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by (51.4k points)

Correct option is a. the x-axis

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