Project ForgeEngineering Mathematics
Calculus
GATE 2015
Medium
Given two complex numbers z1 = 5+(5√3)i and z2 = 2/√3 + 2i, the argument of z1/z2 in degrees is
- 0
- B30
- C60
- D90
Explanation
z1 = 5+5√3i has magnitude 10 and argument atan(5√3/5)=60°. z2 = 2/√3+2i has magnitude √(4/3+4)=4/√3 and argument atan(2/(2/√3))=atan(√3)=60°. The argument of a quotient is the difference of arguments: 60°−60°=0°.
Source: GATE ME 2015 (Session 1) (2015)
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