Q. 14.5( 8 Votes )

Evaluate:

(i) i19

(ii) i62

(ii) i373.

Answer :

We all know that i = √(-1) .


and = 1


= i (where n is any positive integer )


=


= -1


So,


(i) L.H.S =


=


=


Since it is of the form


Hence the value of .


(ii)




so its solution would be -1


(iii)




i


So, it is of the form of so the solution would be i.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polar & Euler Form of Complex Numbers on Argand Plane32 mins
Interactive Quiz Time - Polar & Euler Form of complex number58 mins
Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins
Interactive Quiz on Quadratic Equations73 mins
Practice session | Argument of complex numbers61 mins
Special Quiz on Argument of complex numbers56 mins
Polar & Euler Form of Complex Number on Argand Plane58 mins
Questions on Modulus & Conjugate of Complex Number62 mins
Questions Based on Polar & Euler Form of Complex Number63 mins
Interactive Quiz on Quadratic Equations-0252 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Evaluate.

RS Aggarwal - Mathematics

Evaluate


RS Aggarwal - Mathematics

Evaluate:

(i)


(ii)


(iii) .


RS Aggarwal - Mathematics

RS Aggarwal - Mathematics

RS Aggarwal - Mathematics

If then show that

RD Sharma - Mathematics

RS Aggarwal - Mathematics

RS Aggarwal - Mathematics