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Algebra of Complex Numbers

The equation ...

Question

The equation $¯ z =_{0} + A (z - z_{0})$ , where $A$ is a constant, represents

A

A straight line

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B

A circle

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C

A point

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D

None of these

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Solution

The correct option is A A straight line
$¯ z = {¯ z}_{0} + A (z - z_{0})$
From the equation, A represents a straight line.
Hence, the answer is a straight line.

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