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JEE Advance2007
Paper-1
Question
A man walks a distance of 3 units from the origin towards the north-east $\left(\mathrm{N} 45^{\circ} \mathrm{E}\right)$ direction. From there, he walks a distance of 4 units towards the north-west $\left(\mathrm{N} 45^{\circ} \mathrm{W}\right)$ direction to reach a point P . Then the position of P in the Argand plane is
Select the correct option:
A
$3 \mathrm{e}^{\mathrm{i} \pi / 4}+4 \mathrm{i}$
B
$(3-4 \mathrm{i}) \mathrm{e}^{\mathrm{i} \pi / 4}$
C
$(4+3 \mathrm{i}) \mathrm{e}^{\mathrm{i} \pi / 4}$
D
$(3+4 \mathrm{i}) \mathrm{e}^{\mathrm{i} \pi / 4}$
✓ Correct! Well done.
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