- What is the sum of the coefficients
in the expansion of ( )^?
(a) 1 (b) -1 (c) (d) - - at is the value of
∑^ (^ ) ∑^ (^ )?
(a) ∑ (^ ) (b) ∑^ (^ ) (c)
∑^ (^ ) (d) ∑^ (^ )
- How many terms are there in the
expansion of ( )^
( )^?
(a) 5 (b) 6 (c) 11 (d) 22
48. Which one of the following
statements is correct? The natural
number - 51 is:
(a) a prime number (b) an even
number (c) divisible by 5 (d) a power
of 349. What is the value of ∑^
, if n
is even?
(a) (^ ) (b) (c) (^ ) (d) (^ )COMPLEX NUMBERS
- What is the argument of (1 – sin
) + i cos? (i= √ )
(a)^ (b)^ (c)^ (d) - If α and β are the complex cube
roots of unity, then what is the
value of ( )( )(
)( )?
(a) -1 (b) 0 (c) 1 (d) 4 - What is the value of
( )^ ( )^ , where i=
√?
(a) -8 (b) 8 (c) 8 i (d) -8 i - If z = + i tan α where π < α <^ ,
then what is | | equal to?
(a) sec α (b) – sec α
(c) (d) -- If z = 1 + cos^ , then
what is | | equal to
(a) 2 cos^ (b) 2 sin^
(c) 2 cos (d) 2 sin- What is modulus of?
(a)^ (b) (c) (d)^ - If is the imaginary cube root
of unity, then what is (
)^ equal to?
(a) (b) - (c) (d) - - What is the conjugate of
.^ /
?
(a) (b) (c) -
(d)- What is .√√^ /
equal to?
(a) -1 (b) 0 (c) 1 (d) 2