1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If z1 and z2 are complex numbers with $$\left| {{z_1}} \right| = \left| {{z_2}} \right|$$, then which of the following is/are correct?

1. z1 = z2

2. Real part of z1 = Real part of z2

3. Imaginary part of z1 = Imaginary part of z2

Select the correct answer using the code given below.
A
Only 1
B
Only 2
C
Only 3
D
None of these
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the point z1 = 1 + i, where $$i = \sqrt { - 1} $$ is the reflection of a point z2 = x + iy in the line $$i\overline z - iz = 5$$, then the point z2 is
A
1 + 4i
B
4 + i
C
1 $$-$$ i
D
$$-$$1 $$-$$i
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
$$z\overline z + (3 - i)z + (3 + i)\overline z + 1 = 0$$ represents a circle with
A
centre ($$-$$3, $$-$$1) and radius 3
B
centre ($$-$$3, 1) and radius 3
C
centre ($$-$$3, $$-$$1) and radius 4
D
centre ($$-$$3, 1) and radius 4
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\sqrt {{{1 + {\omega ^2}} \over {1 + \omega }}} $$ equal to, where $$\omega$$ is the cube root of unity?
A
1
B
$$\omega$$
C
$$\omega$$2
D
i$$\omega$$, where $$i = \sqrt { - 1} $$
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