1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider equation-I : z3 + 2z2 + 2z + 1 = 0 and equation-II : z1985 + z100 + 1 = 0.

What are the roots of equation-I ?
A
1, ω, ω2
B
-1, ω, ω2
C
1, -ω, ω2
D
-1, -ω, -ω2
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider equation-I : z3 + 2z2 + 2z + 1 = 0 and equation-II : z1985 + z100 + 1 = 0.

Which one of the following is a root of equation-II?
A
-1
B
C
-ω2
D
ω
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider equation-I : z3 + 2z2 + 2z + 1 = 0 and equation-II : z1985 + z100 + 1 = 0.

What is the number of common roots of equation-I and equation-II?
A
0
B
1
C
2
D
3
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If ω is a non-real cube root of 1, then what is the value of  $\left|\frac{1-\omega}{\omega+\omega^2}\right| ?$
A
√3
B
√2
C
1
D
$\frac{4}{\sqrt 3}$
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