JEE Main 2017MathematicsComplex NumberEasyMCQ

JEE Main 2017 — Complex Number Question with Solution

JEE Main 2017 (08 Apr Online)

Question

Let z∈C, the set of complex numbers. Then the equation, 2z+3i-z-i=0 represents:

Choose an option

Show full solutionCorrect option: A
Correct answer
AA circle with radius 83

Step-by-step explanation

Let z=x+iy so that

2x+iy+3=x+iy-1

⇒2x2+y+32 = x2+y-12

⇒4x2+4y+32=x2+y-12

⇒3x2+3y2+26y+35=0

⇒x2+y2+263y+353=0

⇒r= 0+1699-353

⇒r=649=83

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About this question

This is a previous-year question from JEE Main 2017, 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.