Let P(2+i) & S(z)
By Rotation theorem, rotating about 3+3i, we get
(3+i)−(3+3i)z−(3+3i)=222e−4iπ
⇒−2iz−3−3i=1−i
⇒z−3−3i=−2i−2⇒z=1+i
JEE Main 2016 — Mathematics Algebra
The point represented by 2+i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 22 units in the south-west wards direction. Then its new position in the Argand plane is at the point represented by :
Held on 9 Apr 2016 · Verified 6 Jul 2026.
1+i
2+2i
−2−2i
−1−i
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