1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the information carefully and answer the given questions.

A complex number is given by $$z = {{1 + 2i} \over {1 - {{(1 - i)}^2}}}$$.
What is the modulus of z?
A
4
B
2
C
1
D
$${1 \over 2}$$
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the information carefully and answer the given questions.

A complex number is given by $$z = {{1 + 2i} \over {1 - {{(1 - i)}^2}}}$$.
What is the principal argument of z?
A
0
B
$${\pi \over 4}$$
C
$${\pi \over 2}$$
D
$$\pi $$
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is $ \left( \frac{\sqrt{3}+i}{\sqrt{3}-i} \right)^3 $ equal to?
A
-1
B
0
C
1
D
3
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If $z\ne0$ is a complex number, then what is  equal to?
A
0
B
π/2
C
π
D
2π
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