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GATE-2012 ECE Q25 (math)

by Krishna Sankar on October 9, 2012

Question 25 on math from GATE (Graduate Aptitude Test in Engineering) 2012 Electronics and Communication Engineering paper.

Q25. If , then the value of  is,




(d) 1


Going by the definition of imaginary unit and

From Euler’s formula.

Putting ,




Based on the above, the right choice is :  (a) i.e.   if ,  then  .



[1] GATE Examination Question Papers [Previous Years] from Indian Institute of Technology, Madras http://gate.iitm.ac.in/gateqps/2012/ec.pdf

[2] Imaginary unit

[3] Euler’s formula

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