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 MCQ▾

If is a cube root of unity, then

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

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

Edit

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.

Edit

Question 4

Question MCQ▾

The polynomial is divisible by where w is cube of unity

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 5

Question MCQ▾

Let . Then the value of the determinant is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

Question MCQ▾

The value of the sum where equals

Choices

Choice (4)Response

a.

0

b.

c.

d.

Edit

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

Edit

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

Edit

Question 9

Question MCQ▾

If and are cube root of then ________

Choices

Choice (4)Response

a.

b.

8

c.

16

d.

64

Edit

Question 10

Question MCQ▾

If is one of the cube root of other then then ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit