1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :  

Let Z 1  and Z 2  be any two complex numbers such that $\rm Z_1^2+Z_2^2+Z_1Z_2=0$

what is the value of $\rm \left|\frac{Z_1}{Z_2}\right|$,
1
1
2
2
3
3
4
4
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :  

Let Z 1  and Z 2  be any two complex numbers such that $\rm Z_1^2+Z_2^2+Z_1Z_2=0$

what is the value of $\rm \frac{1}{2}+Re\left(\frac{Z_1}{Z_2}\right)?$
1
-1
2
0
3
1
4
2
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $z$ is any complex number and $i z^3+z^2-z+i=0$, where $i=\sqrt{-1}$, then what is the value of $(|z|+1)^2$ ?
A

1

B

4

C

81

D

121

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $x, y$ and $z$ are the cube roots of unity, then what is the value of $xy + yz + zx$?

A

0

B

1

C

2

D

3

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