1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of $${\left[ {{{i + \sqrt 3 } \over 2}} \right]^{2019}} + {\left[ {{{i - \sqrt 3 } \over 2}} \right]^{2019}}$$?
A
1
B
$$-$$1
C
2i
D
$$-$$2i
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The common roots of the equations $${z^3} + 2{z^2} + 2z + 1 = 0$$ and $${z^{2017}} + {z^{2018}} + 1 = 0$$ are
A
$$-$$1, $$\omega$$
B
1, $$\omega$$2
C
$$-$$1, $$\omega$$2
D
$$\omega$$, $$\omega$$2
3
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
$${1 \over 2}$$
4
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
$$\pi $$
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