- If 1, ω, are the three cube
roots of unity, then what is
( )
( )^ equal to?^
(a)^ (b) b (c) ω (d) - If √^ , then what is the
value of
?
(a) 0 (b) 1 (c) ω (d) -
- What is one of the values of
√ √?
(a) √ (b) 0 (c) ±^ √^ (d) ±^ √^
- What is the value of
[( (^) √ ) ]
[( (^) √ )
]
?
(a) 1 (b) -1 (c) 2 (d) 0
- If ω denotes the cube root of
unity, then what is the real root of
the equation?
(a) 3ω (b) 3 (c) -3ω (d) 3 - If ( )^ ⁄^ then
is equal to:^
(a) 4( ) (b) 4( ) (c)
4 ( ) (d) none of these
- The value of
is equal to:
(a) 0 (b) 1 (c) –i (d) 1
32. The value of
upto (2n + 1) terms, where = -1,
is equal to:
(a) 1 (b) 0 (c) -1 (d) 2
33. The modulus and amplitude of
, respectively
are:
(a) 2 sin^ ,^ (b) 2 cos^ (c) 2
cos^ (d) 2 sin^
34. If 1, ω, are the cube roots of
unity, then the value of
( )^ ( )^
( )^ is equal to:
(a) xy (b) 3xy (c) 6xy (d) 9xy
35. If the cube roots of the unity
are1, ω, , then the roots of the
equation ( )^ are:
(a) 0, 2 (1 – ω), 2(1 - )
(b) 0, 2 (1 + ω), 2(1 + )(c) 1, 2 ω, - 2 (d) 1, 2 ω, 2- If ω is a complex cube root of
unity and =0, what is
the value of n?
(a) 3 (b) 5 (c) 6 (d) 9 - What is the real point of
?^
(a) (b) (c) - (d)^- What is the value of
( (^) √ )
+( (^) √ )
, where
n is a natural number?