JEE Main 2016 Mathematics question
The point represented by in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there units in the south-west wards direction. Then its new position in the Argand plane is at the point represented by :
Answer: (1)
Solution
Translate each move into a complex number and add. Starting at : moving 1 unit east adds , giving ; moving 2 units north adds , giving . The south-west direction makes with the positive real axis, so a
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