1
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
The general values of $$\theta $$ satisfying the equation $$2{\sin ^2}\theta - 3\sin \theta - 2 = 0$$ is
A
$$n\pi + {\left( { - 1} \right)^n}\pi /6$$
B
$$n\pi + {\left( { - 1} \right)^n}\pi /2 $$
C
$$n\pi + {\left( { - 1} \right)^n}5\pi /6$$
D
$$n\pi + {\left( { - 1} \right)^n}7\pi /6$$
2
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$z$$ and $$\omega $$ be two complex numbers such that
$$\left| z \right| \le 1,$$ $$\left| \omega \right| \le 1$$ and $$\left| {z + i\omega } \right| = \left| {z - i\overline \omega } \right| = 2$$ then $$z$$ equals
A
$$1$$ or $$i$$
B
$$i$$ or $$-i$$
C
$$1$$ or $$ - 1$$
D
$$i$$ or $$ - 1$$
3
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$\omega \,\left( { \ne 1} \right)$$ is a cube root of unity and $${\left( {1 + \omega } \right)^7} = A + B\,\omega $$ then $$A$$ and $$B$$ are respectively
A
0, 1
B
1, 1
C
1, 0
D
-1, 1
4
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$z$$ and $$\omega $$ be two non zero complex numbers such that
$$\left| z \right| = \left| \omega \right|$$ and $${\rm A}rg\,z + {\rm A}rg\,\omega = \pi ,$$ then $$z$$ equals
A
$$\omega $$
B
$$ - \omega $$
C
$$\overline \omega $$
D
$$ - \overline \omega $$
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