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
$$ - \overline \omega $$
2
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
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)
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