Complex Numbers: Open
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Question 1 of 25
1. Question
1 point(s)Category: mathematicsIf the cube roots of unity are 1, w, w^{2}, then the roots of the equation (x – 1)^{3} + 8 = 0 are
CorrectIncorrect 
Question 2 of 25
2. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 3 of 25
3. Question
1 point(s)Category: mathematicsIf z is a complex number such that the imaginary part of z is non Zero and a = z^{2} + z + 1 is real. Then, a cannot take the value
CorrectIncorrect 
Question 4 of 25
4. Question
1 point(s)Category: mathematicsIf 2x = 3 + 5i, then the value of 2x^{3} + 2x^{2} – 7x +72 is
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Question 5 of 25
5. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 6 of 25
6. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 7 of 25
7. Question
1 point(s)Category: mathematicsIf 2α = 1 i√3 and 2β = 1 + i√3, then 5α^{4} + 5β^{4} + 7α^{1}β^{1} is equal to
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Question 8 of 25
8. Question
1 point(s)Category: mathematicsIf a_{n} = i ^{(n+1)2}, where i =√1 and n = 1,2,3… Then , the value of a_{1} + a_{3} +a_{5}+…+a_{25} is
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Question 9 of 25
9. Question
1 point(s)Category: mathematicsIf a = cos θ + i sin θ, then
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Question 10 of 25
10. Question
1 point(s)Category: mathematicsLet
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Question 11 of 25
11. Question
1 point(s)Category: mathematicsThe value of sum
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Question 12 of 25
12. Question
1 point(s)Category: mathematicsIf z = x – iy and z^{1/3} = p + iq, then
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Question 13 of 25
13. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 14 of 25
14. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 15 of 25
15. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 16 of 25
16. Question
1 point(s)Category: mathematicsIf z is a complex number such that Re(z) = Im(z), then
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Question 17 of 25
17. Question
1 point(s)Category: mathematicsThe points z_{1}, z_{2}, z_{3} z_{4} in the complex plane are the vertices of a parallelogram taken in order if and only if
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Question 18 of 25
18. Question
1 point(s)Category: mathematicsIf z_{1} , z_{2} ,.., z_{n} are complex numbers such that Z_{1}= z_{2}=……=z_{n}= 1 , then z_{1}+ z_{2} +……+ z_{n} is equal to
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Question 19 of 25
19. Question
1 point(s)Category: mathematicsThe smallest positive integer n for which (1+ i)^{2n} = (1 – i)^{2n} is
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Question 20 of 25
20. Question
1 point(s)Category: mathematicsThe values of x and y satisfying the equation
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Question 21 of 25
21. Question
1 point(s)Category: mathematicsIf z is a complex number of unit modulus and argument θ, then
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Question 22 of 25
22. Question
1 point(s)Category: mathematicsLet z_{1} ≠ z_{2} and z_{1} = z_{2}.If z_{1} has positive real part and z_{2} has negative imaginary part. Then,
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Question 23 of 25
23. Question
1 point(s)Category: mathematicsIf α and β are two different complex numbers with β = 1, then
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Question 24 of 25
24. Question
1 point(s)Category: mathematicsCorrectIncorrect 
Question 25 of 25
25. Question
1 point(s)Category: mathematicsLet w ≠ ± 1 be a complex number. If w= land
CorrectIncorrect