JEE Main 2016 (Online) 9th AprilQuestion 1
The point represented by $2+i$ in the Argand plane moves $1$ unit eastwards, then $2$ units northwards and finally from there $2\sqrt2$ units in the south-west wards direction. Then its new position in the Argand plane is at the point represented by :
Complex Numbers
Solution
$2+i\to3+i\to3+3i$, then $2\sqrt2$ south-west adds $-2-2i$, giving $1+i$.