1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Which one of the following is a square root of $-\sqrt{-1} $?
A
1 + i
B
$\frac{1-i}{\sqrt{2}}$
C
$\frac{1+i}{\sqrt{2}}$
D
$\frac{1}{\sqrt{2}} i$
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.

What are the roots of equation-I ?
A
1, ω, ω2
B
-1, ω, ω2
C
1, -ω, ω2
D
-1, -ω, -ω2
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.

Which one of the following is a root of equation-II?
A
-1
B
C
-ω2
D
ω
4
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
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