The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2 2 units in the south-west wards direction. Then its new position in the Arga

Question

The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2 2 units in the south-west wards direction. Then its new position in the Argand plane is at the point represented by :

TestHub · Accepted Answer

Let P 2 + i & S(z) By Rotation theorem, rotating about 3 + 3 i , we get z - 3 + 3 i 3 + i - 3 + 3 i = 2 2 2 e - i π 4 ⇒ z - 3 - 3 i - 2 i = 1 - i ⇒ z - 3 - 3 i = - 2 i - 2 ⇒ z = 1 + i

Mathematics - Complex Number Question with Solution | TestHub

Options:

Doubts & Discussion