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Many-One into Function

85. If the co...

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85. If the complex number z-1/z+1 is purely imaginary, then what is the range of |z| ?

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Q. If z is a complex number such that

\frac{z - 1}{z + 1}

is purely imaginary, then

z (\neq - 1)

is complex number such that

\frac{z - 1}{z + 1}

is purely imaginary, then

| z |

z (\neq - 1)

is a complex number such that

\frac{z - 1}{z + 1}

is purely imaginary, then find

| z |

z

is a complex number such that

| z | = 1

\frac{z - 1}{z + 1}

is purely imaginary. What will be your conclusion, if

z = 1

z

is a complex number not purely real such that imaginary part of

z - 1 + \frac{1}{z - 1}

is zero, then locus of

z

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Many-One into Function

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