3 0. The number of terms in the
expansion of ( )^ will be:
(a) n + 1 (b) n + 3 (c) (^ ) (^ ) (d)
none of these
- In the expansion of.^ /
, the
coefficient of is:
(a)^ (b)^ (c)^ (d) none of these
- If for positive integers r > 1, n > 2,
the coefficient of the ( )^ and
( )^ powers of x in the expansion
of ( )^ are equal, then:
(a) n= 2r (b) n= 3r (c) n= 2r + 1 (d)
none of these - If the coefficient of the second, third
and fourth terms in the expansion of
( )^ are in AP, then n is equal to:
(a) 7 (b) 2 (c) 6 (d) none of these - If ( )^ =
, then
is equal to:
(a)^
(^)
(b)
(c)
(d)^
- The coefficient in the expansion
of ( )^ is:
(a)^ (b)^ (c)^
(^) (d) (^)
- The coefficient of in the
expansion of. /
will be:
(a)^
(b)
(c)
(d)
- The value of
(^)
(^) ( ) (^) is
equal to:
(a) 0 (b) (c) (d)
- The middle term of. /
is:
(a)(^)
(^) (b)
(^)
(^)
(c) -
(^)
(^) (d)
(^)
(^)
- The coefficient of the middle term
in the expansion of ( )^ is:
(a) 6 (b) 5! (c) 8! (d) 216 - If in the binomial expansion of
( )^ where n is a natural number,
the coefficients of the 5th, 6th and 7th
terms are in AP, then n is equal to:
(a) 7 or 13 (b) 7 or 14 (c) 7 or 15 (d)
7 or 17 - If the coefficients if ( )^ term
and ( )^ term in the expansion of
( )^ are equal, then r is equal to:
(a) 6 (b) 5 (c) 4 (d) 2 - The number of integral terms in the
expansion of ( ⁄^ ⁄^ )^ is:
(a) 128 (b) 129 (c) 256 (d) 512 - How many terms are there in the
expansion of ( )^?
(a) 11 (b) 33 (c) 66 (d) - What are the values of k, if the term
independent of x in the expansion of
.√ /
is 405?
(a) ±3 (b) ±6 (c) ±5 (d) ±