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Manipulation of a linear equation

Let z and w b...

Question

Let z and w be the two non-zero complex numbers such that $| z | = | w |$ and $a r g z + a r g w = π$ . Then z is equal to

A

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B

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C

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D

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Solution

The correct option is D
Trick : On checking the options, (d) satisfies both the conditions

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Manipulation of a linear equation

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