1
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
Which of the following number(s) is /are rational?
A
$$\sin {\mkern 1mu} {15^ \circ }$$
B
$$\cos {\mkern 1mu} {15^ \circ }$$
C
$$\sin {\mkern 1mu} {15^ \circ }{\mkern 1mu} \cos {\mkern 1mu} {15^ \circ }$$
D
$$\sin {\mkern 1mu} {15^ \circ }{\mkern 1mu} \cos {\mkern 1mu} {75^ \circ }$$
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 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
4
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
Let $${A_0}{A_1}{A_2}{A_3}{A_4}{A_5}$$ be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments $${A_0}{A_1},{A_0}{A_2}$$ and $${A_0}{A_4}$$ is
A
$${3 \over 4}$$
B
$$3\sqrt 3 $$
C
$$3$$
D
$${{3\sqrt 3 } \over 2}$$
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