JEE Main 2019MathematicsComplex NumberEasyMCQ

JEE Main 2019 — Complex Number Question with Solution

JEE Main 2019 (12 Apr Shift 1)

Question

The equation |z-i|=|z-1|,i=-1, represents:

Choose an option

Show full solutionCorrect option: C
Correct answer
Cthe line through the origin with slope 1

Step-by-step explanation

Let z=x+iy

z-i=z-1⇒x2+(y-1)2=(x-1)2+y2

⇒y=x
Hence, the equation represents a line through the origin with slope 1 .

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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.