JEE Main 2020MathematicsComplex NumberEasyMCQ

JEE Main 2020Complex Number Question with Solution

JEE Main 2020 (05 Sep Shift 2)

Question

The value of-1+i31-i30 is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D-215i

Step-by-step explanation

-1+3i1-i30=2cos2π3+isin2π32cosπ4-isinπ430

=230(cos20π+isin20π)215cos15π2-isin15π2

=215(1+0i)(0+i)=-215i

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About this question

This is a previous-year question from JEE Main 2020, 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.