Objective question in Complex Numbers

Argument and modulus of $frac1+i1−i$ are respectively

1 Answers

(1+i) /(1-i) = (1+i)(1+i)/(1-i)(1+i) [Rationalising]

2i/2= i = 0+1i= which we can plot as a point (0,1) on the graph.

moduloe = √1 +0
= 1

therefore the point (0,1) is on the y-axis so the argument to it is i.e angle to the positive direction of x-axis , which is = 90 or Î /2

answers= 1,Î /2

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