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1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $\omega \neq 1$ is a cube root of unity, then what are the solutions of $(z-100)^3 + 1000 = 0$?

A

$10(1-\omega)$, $10(10-\omega^2)$, $100$

B

$10(10-\omega)$, $10(10-\omega^2)$, $90$

C

$10(1-\omega)$, $10(10-\omega^2)$, $1000$

D

$(1 + \omega)$, $(10 + \omega^2)$, $-1$

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $(1 + i)^4 + (1 - i)^4$ equal to, where $i=\sqrt{-1}$?

A

4

B

0

C

-4

D

-8

3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If z z̅ = |z + z̅ |, where z = x + iy, i = $\sqrt{-1}$, then the locus of z is a pair of:
A
straight lines
B
rectangular hyperbolas
C
parabolas
D
circles
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of $\sqrt{12+5 i}+\sqrt{12-5 i}$ where $i=\sqrt{-1}$ ?
A
24
B
25
C
5√2
D
5(√2 - 1)
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