JEE Main 2022MathematicsComplex NumberEasyMCQ

JEE Main 2022 — Complex Number Question with Solution

JEE Main 2022 (26 Jul Shift 2)

Question

If z=x+iy satisfies z-2=0 and z-i-z+5i=0, then

Choose an option

Show full solutionCorrect option: C
Correct answer
Cx+2y+4=0

Step-by-step explanation

Given, z=x+iy

Also, z=2

So, x2+y2=4     ...1

Now, z-i=z+5i

⇒z-i2=z+5i2

⇒x2+y-12=x2+y+52

⇒y=-2     ...2

So, x=0 by solving equation 1 & 2

Hence, only x+2y+4=0 is true, as point only satisfy this equation.

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About this question

This is a previous-year question from JEE Main 2022, 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.