1
IIT-JEE 1998
MCQ (More than One Correct Answer)
+2
-0.5
If $$\,\left| {\matrix{ {6i} & { - 3i} & 1 \cr 4 & {3i} & { - 1} \cr {20} & 3 & i \cr } } \right| = x + iy$$ , then
A
x = 3, y = 2
B
x = 1, y = 3
C
x = 0, y = 3
D
x = 0, y = 0
2
IIT-JEE 1998
MCQ (More than One Correct Answer)
+2
-0.5
The value of the sum $$\,\,\sum\limits_{n = 1}^{13} {({i^n}} + {i^{n + 1}})$$ , where i = $$\sqrt { - 1} $$, equals
A
i
B
i - 1
C
- i
D
0
3
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
If $${{{z_1}}}$$ and $${{{z_2}}}$$ are two nonzero 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
$$ - \pi $$
B
$$ - {\pi \over 2}$$
C
0
D
$${\pi \over 2}$$
4
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
The value of $$\sum\limits_{k = 1}^6 {(\sin {{2\pi k} \over 7}} - i\,\cos \,{{2\pi k} \over 7})$$ is
A
- 1
B
0
C
- i
D
i
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