JEE Main 2019MathematicsComplex NumberMediumMCQ

JEE Main 2019 — Complex Number Question with Solution

JEE Main 2019 (12 Apr Shift 2)

Question

Let z∈C with Im(z)=10 and it satisfies 2 z-n2 z+n=2i-1 for some natural number n. Then

Choose an option

Show full solutionCorrect option: D
Correct answer
Dn=40 and Re(z)=-10

Step-by-step explanation

Put z=x+10i
∴ 2x+10i-n=2i-1⋅2x+10i+n
compare real and imaginary coefficients
x=-10, n=40

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About this question

This is a previous-year question from JEE Main 2019, 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.