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The greatest term of the expansion (2x + 5y)13 where x = 10, y = 2 is

1.

2.

3.

4.
None

The binomial expansion of n  N contain a term independent of x :

1.
only if k is an integers

2.
only if k is a natural numbers.

3.
only if k is rational

4.
for any real k.

The coefficient of x50 in (1 + x)41 (1 - x + x2)40 is

1.
1

2.
2

3.
3

4.
0

Given that the term of the expansion (x1/3 - x-1/2)15 which does not contain x is 5 m where m  N , then m =

1.
1100

2.
1010

3.
1001

4.
none

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Q. 8
In the binomial (21/3 + 3-1/3)n, if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n =

1.
6

2.
9

3.
12

4.
15

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Q. 9
The coefficient of x49 in the expansion of (x - 1) ..... is equal to

1.
- 2

2.
+ ve coefficient of x

3.
- ve coefficient of x

4.
- 2

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Q. 10
The last digit of (3P + 2) is : where P = 34n and n  N

1.
1

2.
2

3.
4

4.
5

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Q. 11
The sum of the binomial coefficients of  is equal to 256 . The constant term in the expansion is

1.
1120

2.
2110

3.
1210

4.
none

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Q. 12
The coefficient of x4 in  is :

1.

2.

3.

4.

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Q. 13
If (1 + x + x2)25 = a0 + a1x + a2x2 + ..... + a50 . x50 then a0 + a2 + a4 + ..... + a50 is :

1.
even

2.
odd & of the form 3n

3.
odd & of the form (3n - 1)

4.
odd & of the form (3n + 1)

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Q. 14
If the second term of the expansion  is 14a5/2 then the value of  is :

1.
4

2.
3

3.
12

4.
6

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Q. 15
If (1 + x) (1 + x + x2) (1 + x + x2 + x3) ...... (1 + x + x2 + x3 + ...... + xn)  a0 + a1x + a2x2 + a3x3 + ...... + amxm then  has the value equal to

1.
n!

2.
(n + 1) !

3.
(n - 1)!

4.
none

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Q. 16
The value of 4 {nC1 + 4 . nC2 + 42 . nC3 + ...... + 4n - 1} is :

1.
0

2.
5n + 1

3.
5n

4.
5n - 1

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Q. 17
In the expansion of (1 + x)43 if the co-efficients of the (2r + 1)th and the (r + 2)th terms are equal, the value of r is :

1.
12

2.
13

3.
14

4.
15

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Q. 18
The positive value of a so that the co-efficient of x5 is equal to that of x15 in the expansion of  is

1.

2.

3.
1

4.
2

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Q. 19
In the expansion of  , the term which does not contain x is :

1.
10C0

2.
10C7

3.
10C4

4.
none

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Q. 20
Co-efficient of t in the expansion of, ( + p)m - 1 + ( + p)m - 2 ( + q) + ( + p)m - 3 ( + q)2 + ...... ( + q)m - 1 where   - q and p  q is :

1.

2.

3.

4.

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```

6 years ago

Share

```										answer soon. pls !!!!!!!!!!!!!! its urgent by VISHWESH RAVI
```
6 years ago
```										Dear Vishesh
1:
first calculate
r= (n+1)/{1+(x/a)}
here n  = 13 , x= 2x = 2*10=20
a  = 5y=5*2=10
so r = 14/3
integer value r=4
so Tr+1 will be the greatest term
i.e   T5
now T5 = 13C4 209 104
please post seperate question in seperate post
Please feel free to post as many doubts on  our discussion forum as you can. If you find any question Difficult to  understand - post it here and we will get you the answer and detailed  solution very   quickly.   We are all IITians and here to help  you in your IIT JEE preparation.  All the best.   Regards, Askiitians Experts Badiuddin

```
6 years ago
```										thanks a lot sir for the solution.

I WILL BE VERY GRATEFUL TO YOU FOR THIS KIND STEP.

THANKING YOU,
VISHWESH RAVI
```
6 years ago

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