- If is a complex cube root of
unity, then what is
equal to?
(a) 2 (b) -1 (c) -2 (d) 1 - If x + iy= |
|, then
what is x – iy equal to?
(a) 3 + i (b) 1 + 3i (c) 3i (d) 0
- What is the value of
( (^) √ )
?
(a) 1 (b) 2 (c) (d)
- What is the value of 1 +
, where i=
√^?^
(a) 0 (b) 1 (c) -1 (d) None of
these
- If ω is a complex cube root of
unity and x= , then
what is the value of?
(a) -2 (b) -1 (c) 0 (d) 1 - If , then what is
equal to?^
(a) x – iy (b) x + iy (c) 2x (d) -2 iy
- What is the modulus of
| (^ ) |?
(a) 1 (b) √ (c) √ (d) 5
- What is the least positive
integer n for which.^ /
= 1?
(a) 16 (b) 12 (c) 8 (d) 4
- If α is a complex number such
that then what is
equal to?
(a) α (b) (c) 0 (d) 1 - What is the value of
( √ )
( )^ ,
where n N?
(a) 0 (b) 1 (c) i (d) –i - If ω is the cube root of unity,
then what is the conjugate of
2?
(a) 2ω – 3i (b) 3ω + 2i (c) 2ω + 3i
(d) 3ω – 2i - If z is a complex number such
that , then what is the
value of?
(a) 1 (b) -1 (c) 2 (d) - 2 - If ω is complex cube root, then
what is the value of (^) ( )
( )^?^
(a) 1 (b) 0 (c) ω (d)
- What is the square root of
√
?^
(a) ± .√ / (b) ± .√ / (c) ±
.^ √ /
(d) ±.^ √ /- What is arg (bi) where b > 0?
(a) 0 (b)^ (c) π (d)^