1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is correct in respect of the cube roots of unity?
A
They are collinear
B
They lie on a circle of radius $$\sqrt 3 $$
C
They from an equilateral triangle
D
None of the above
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the principal argument of ($$-$$1 $$-$$i), where $$i = \sqrt { - 1} $$?
A
$${\pi \over 4}$$
B
$$ - {\pi \over 4}$$
C
$$ - {{3\pi } \over 4}$$
D
$${{3\pi } \over 4}$$
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The number of non-zero integral solution of the equation $$|1 - 2i{|^x} = {5^x}$$ is
A
Zero (no solution)
B
One
C
Two
D
Three
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\alpha$$ and $$\beta$$ are different complex numbers with $$|\alpha |\, = 1$$, then what is $$\left| {{{\alpha - \beta } \over {1 - \alpha \overline \beta }}} \right|$$ equal to?
A
$$\left| \beta \right|$$
B
2
C
1
D
0
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