JEE Main 2017MathematicsComplex NumberMediumMCQ

JEE Main 2017 — Complex Number Question with Solution

JEE Main 2017 (09 Apr Online)

Question

The equation Imiz-2z-i+1=0, z∈C, z≠i represents a part of a circle having radius equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C34

Step-by-step explanation

Let z=x+iy, then

Im ix-y-2x+y-1i x-y-1ix-y-1i+1=y-1 y+2+x2x2+y-12+1=0

⇒2x2+2y2-y-1=0

⇒x2+y2-y2-12=0

Center (0, 14)

Radius =g2+f2-c

Radius= 116+12= 916=34

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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.