Complex NumbersMathematics

Test your limits with our Elite Pro-Vault Questions for mathematics

Question 1
MediumJEE

Theamplitude(principalargument)of1+iis:The amplitude (principal argument) of -1 + i is:

A. 3π/43π/4
B. π/4π/4
C. 5π/45π/4
D. 3π/4-3π/4
Question 2
MediumJEE

Ifz=(1i)/(1+i),thenzisequalto:If z = (1-i)/(1+i), then z is equal to:

A. i-i
B. i
C. 1
D. 1-1
Question 3
MediumJEE

Thevalueof(1+ω)(1+ω2),whereωisthecomplexcuberootofunity,is:The value of (1+ω)(1+ω²), where ω is the complex cube root of unity, is:

A. 1
B. 0
C. 2
D. 3

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