JEE Main 2014 — Complex Number Question with Solution
JEE Main 2014 (12 Apr Online)
Question
Let be any complex number such that is a purely imaginary number.
Then is:
Choose an option
Show full solutionCorrect option: C
Correct answer
Cany non-zero real number.
Step-by-step explanation
Let
is purely imaginary means its real part is zero.
for pure imaginary, we have
and
is any non-zero real number
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This is a previous-year question from JEE Main 2014, 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.