A person is represented by a complex number z = x + iy. If a person is represented only by x, then he is not sensitive towards environment and if a person is represented only by y, then he is sensitive towards environment.

If a person is related by the relation $∣ ∣ \frac{z - 5 i}{z + 5 i} ∣ ∣ = 1$ , then find the value of z.

Why a person should be eco-friendly?

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Solution

z = x;

It is helfpul for health and controlling the pollution.

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z = x + i y

\frac{| z - 5 i |}{| z + 5 i |} = 1

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