If z,w are non-zero with |z|=|w| and arg z+arg w=π, then z equals (a) w (b) - w (c) w (d) -w

Correct answer: (b) - w arg z=π-arg w=arg(- w) and |z|=|w|=| w|, so z=- w. JEE Main 2002 · Complex Numbers — verified solution by the Vidaara Team.

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[JEE Main 2002] if z w are non zero with z w and arg z arg w

VAVidaara Admin Asked 2d ago 0 views 1 answer

If $z,w$ are non-zero with $|z|=|w|$ and $\arg z+\arg w=\pi$, then $z$ equals

(a) $\bar w$
(b) $-\bar w$
(c) $w$
(d) $-w$

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (b) $-\bar w$

$\arg z=\pi-\arg w=\arg(-\bar w)$ and $|z|=|w|=|\bar w|$, so $z=-\bar w$.

JEE Main 2002 · Complex Numbers — verified solution by the Vidaara Team.

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