JEE Main 2015MathematicsComplex NumberHardMCQ

JEE Main 2015 — Complex Number Question with Solution

JEE Main 2015 (10 Apr Online)

Question

The largest value of r, for which the region represented by the set ω∈Cω-4-i≤r is contained in the region represented by the set z∈Cz-1≤z+i, is equal to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D522

Step-by-step explanation

z-1≤z+i
Putting z=x+iy and simplifying, we get x+y≥0
The region in shown shaded right side of the line x+y=0


The largest value of r would be the length of perpendicular from A4,1, on the line x+y=0

4+12= 52= 522 

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About this question

This is a previous-year question from JEE Main 2015, 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.