JEE Main 2020MathematicsComplex NumberMediumMCQ

JEE Main 2020 — Complex Number Question with Solution

JEE Main 2020 (05 Sep Shift 1)

Question

If the four complex numbers z,z¯,z¯-2Rez¯ and z-2Rez represent the vertices of a square of side 4 units in the Argand plane, then z is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C22

Step-by-step explanation

Let z=x+iy

∴ length of side =4

then z-z¯=4

2iy=4

y=2

also z-z-2Rez=4

2x=4⇒x=2

z=x2+y2=22

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About this question

This is a previous-year question from JEE Main 2020, 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.