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NDA || Mathematics || Algebra || Complex Number || Quiz

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Question 1

Write the principal argument of (1+i

)²

Question 2

What is

equal to, where ωis the cube root of unity?

Question 3

What is

equal to, where i =

Question 4

Let z be a complex number such that |z| = 4 and

What is z equal to?

Where I =

Question 5

What is i¹⁰⁰⁰ + i¹⁰⁰¹ + i¹⁰⁰² + i¹⁰⁰³ equal to (where i = √-1)?

Question 6

What is the argument of (2-3i)/(-5+i)

Question 7

Z= (1-i)/(1+i) can also be expressed as

Question 8

Given z₁=2+2√3i and z₂ = 1+i . find the argument of Arg (z₁/z₂)

Question 9

What is the value of (1+w-w²)(w), where w is the cube root of unity

Question 10

If A = {x ∈ Z : x³ – 1 = 0} and B = {x ∈ Z : x² + x + 1 = 0}, where Z is set of complex numbers, then what is A ∩ B equal to?

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Dec 22CDS & Defence