1
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
If $$\,\left| {z - {4 \over z}} \right| = 2,$$ then the maximum value of $$\,\left| z \right|$$ is equal to :
A
$$\sqrt 5 + 1$$
B
2
C
$$2 + \sqrt 2 $$
D
$$\sqrt 3 + 1$$
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The conjugate of a complex number is $${1 \over {i - 1}}$$ then that complex number is :
A
$${{ - 1} \over {i - 1}}$$
B
$${1 \over {i + 1}}\,$$
C
$${{ - 1} \over {i + 1}}$$
D
$${1 \over {i - 1}}$$
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
If $$\,\left| {z + 4} \right|\,\, \le \,\,3\,$$, then the maximum value of $$\left| {z + 1} \right|$$ is :
A
6
B
0
C
4
D
10
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
If $${z^2} + z + 1 = 0$$, where z is complex number, then value of $${\left( {z + {1 \over z}} \right)^2} + {\left( {{z^2} + {1 \over {{z^2}}}} \right)^2} + {\left( {{z^3} + {1 \over {{z^3}}}} \right)^2} + .......... + {\left( {{z^6} + {1 \over {{z^6}}}} \right)^2}$$ is :
A
18
B
54
C
6
D
12
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