1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If 1, $$\omega$$, $$\omega$$2 are cube roots of unity, then $$\left| {\matrix{ 1 & {{\omega ^n}} & {{\omega ^{2n}}} \cr {{\omega ^{2n}}} & 1 & {{\omega ^n}} \cr {{\omega ^n}} & {{\omega ^{2n}}} & 1 \cr } } \right|$$ has value

A
0
B
$$\omega$$
C
$$\omega$$2
D
$$\omega$$ + $$\omega$$2
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If $$i = \sqrt { - 1} $$ and n is positive integer, then $${i^n} + {i^{n + 1}} + {i^{n + 2}} + {i^{n + 3}}$$ is equal to

A
1
B
i
C
in
D
0
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The modulus of $${{1 - i} \over {3 + i}} + {{4i} \over 5}$$ is

A
$$\sqrt 5 $$ unit
B
$${{\sqrt {11} } \over 5}$$ unit
C
$${{\sqrt 5 } \over 5}$$ unit
D
$${{\sqrt {12} } \over 5}$$ unit
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

For any complex number z, the minimum value of $$|z| + |z - 1|$$ is

A
0
B
1
C
2
D
$$-$$1
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