1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
If $${z_1}$$ and $${z_2}$$ are two non-zero complex numbers such that $$\,\left| {{z_1} + {z_2}} \right| = \left| {{z_1}} \right| + \left| {{z_2}} \right|$$, then arg $${z_1}$$ - arg $${z_2}$$ is equal to :
A
$${\pi \over 2}\,$$
B
$$ - \pi $$
C
0
D
$${{ - \pi } \over 2}$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let z and w be complex numbers such that $$\overline z + i\overline w = 0$$ and arg zw = $$\pi $$. Then arg z equals :
A
$${{5\pi } \over 4}$$
B
$${{\pi } \over 2}$$
C
$${{3\pi } \over 4}$$
D
$${{\pi } \over 4}$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$z = x - iy$$ and $${z^{{1 \over 3}}} = p + iq$$, then

$${{\left( {{x \over p} + {y \over q}} \right)} \over {\left( {{p^2} + {q^2}} \right)}}$$ is equal to :
A
- 2
B
- 1
C
2
D
1
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$\,\left| {{z^2} - 1} \right| = {\left| z \right|^2} + 1$$, then z lies on :
A
an ellipse
B
the imaginary axis
C
a circle
D
the real axis
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