Project ForgeEngineering Mathematics
Calculus
GATE 2014
Easy
The argument of the complex number (1+i)/(1−i), where i=√−1, is
- A−π
- B−π/2
- π/2
- Dπ
Explanation
Multiplying numerator and denominator by the conjugate (1+i): (1+i)²/((1−i)(1+i)) = (1+2i−1)/(1+1) = 2i/2 = i. The argument of the purely imaginary number i is π/2.
Source: GATE ME 2014 (Session 1 / Set-1) (2014)
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