Let z and w be two non-zero complex numbers such that |z|, = ,|w| and arg,z + arg,w = π . Then z is

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4-1.Complex numbers

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Let $z$ and $w$ be the two non-zero complex numbers such that $|z|\, = \,|w|$ and $arg\,z + arg\,w = \pi $. Then $z$ is equal to

A

$w$

B

$ - w$

C

$\overline w $

D

$ - \overline w $

(AIEEE-2002) (IIT-1995)

Solution

(d)Trick : On checking the options, $(d)$ satisfies both the conditions.

Standard 11

Mathematics

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