JEE Main 2016MathematicsComplex NumberHardMCQ

JEE Main 2016 — Complex Number Question with Solution

JEE Main 2016 (09 Apr Online)

Question

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 : 

Choose an option

Show full solutionCorrect option: A
Correct answer
A1+i

Step-by-step explanation

Let P2+i   &  S(z)
By Rotation theorem, rotating about 3+3i, we get

z-3+3i3+i-3+3i=222e-iπ4

⇒ z-3-3i-2i=1-i

⇒ z-3-3i=-2i-2⇒ z=1+i

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About this question

This is a previous-year question from JEE Main 2016, covering the Complex Number chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.