[JEE Main 2004] let z w be complex numbers with z i w 0 and arg zw
Let $z,w$ be complex numbers with $\bar z+i\bar w=0$ and $\arg(zw)=\pi$. Then $\arg z$ equals
(a) $\frac{5\pi}4$
(b) $\frac\pi2$
(c) $\frac{3\pi}4$
(d) $\frac\pi4$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (c) $\frac{3\pi}4$
$\bar z=-i\bar w\Rightarrow z=iw\Rightarrow\arg z=\arg w+\frac\pi2$. With $\arg z+\arg w=\pi$: $2\arg w+\frac\pi2=\pi\Rightarrow\arg w=\frac\pi4$, so $\arg z=\frac{3\pi}4$.
JEE Main 2004 · Complex Numbers — verified solution by the Vidaara Team.
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