JEE Main 2013 — Complex Number Question with Solution
JEE Main 2013 (25 Apr Online)
Question
Let satisfy and .
Statement is a real number.
Statement 2 : Principal argument of z is
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement 1 is false; Statement 2 is true
Step-by-step explanation
Let
Now, is the argument
(+ve since only principal argument)
Hence, is not a real number
So, statement-1 is false and 2 is true.
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This is a previous-year question from JEE Main 2013, 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.