JEE Main 2012 — Complex Number Question with Solution
JEE Main 2012 (19 May Online)
Question
Let and be complex numbers such that , and denotes the principal argument of .
Statement 1:If , then .
Statement 2: , implies arg .
Choose an option
Show full solutionCorrect option: A
Correct answer
AStatement 1 is true, Statement 2 is false.
Step-by-step explanation
Let
where
Now,
Thus, statement-1 is true but statement- 2 is false.
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This is a previous-year question from JEE Main 2012, 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.