[JEE Advanced 2007] a man walks 3 units from the origin towards n45 e then 4 units
A man walks $3$ units from the origin towards $N45^\circ E$, then $4$ units towards $N45^\circ W$ to reach $P$. The position of $P$ in the Argand plane is
(a) $3e^{i\pi/4}+4i$
(b) $(3-4i)e^{i\pi/4}$
(c) $(4+3i)e^{i\pi/4}$
(d) $(3+4i)e^{i\pi/4}$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (d) $(3+4i)e^{i\pi/4}$
$P=3e^{i\pi/4}+4e^{i3\pi/4}=e^{i\pi/4}\!\left(3+4e^{i\pi/2}\right)=(3+4i)e^{i\pi/4}.$
JEE Advanced 2007 · Complex Numbers — verified solution by the Vidaara Team.
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