Complex Numbers and Quadratic Equations-Cube Root of Unity [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 10 of 14
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Question 1
Question 2
Appeared in Year: 2006
Question MCQ▾
If , where z is complex number, then the value of is
Choices
Choice (4) | Response | |
---|---|---|
a. | 12 | |
b. | 18 | |
c. | 54 | |
d. | 6 |
Question 3
Appeared in Year: 2005
Question MCQ▾
If the cube roots of unity are the roots of the equation are
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 4
Question MCQ▾
The polynomial is divisible by where w is cube of unity
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 5
Question 6
Question 7
Question MCQ▾
is cube root of and then the smallest positive value of is________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | 2 | |
c. | 3 | |
d. | 6 |
Question 8
Question MCQ▾
If are integers, not all equal, and is a cube root of unity . Then the minimum value of is________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | 0 | |
c. | ||
d. | 1 |
Question 9
Question 10
Question MCQ▾
If is one of the cube root of other then then ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |