Find the modulus of each of the following complex numbers and hence express each of them in polar form:







Let


Now , separating real and complex part , we get


……….eq.1


…………eq.2


Squaring and adding eq.1 and eq.2, we get


2 = r2


Since r is always a positive no., therefore,


r = √2,


hence its modulus is √2.


now, dividing eq.2 by eq.1 , we get,




Since , and tanθ =. therefore the θ lies in second quadrant. As


, therefore


Representing the complex no. in its polar form will be


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1