Question # 1

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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If n is any positive integer then n! > n²for

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The number of terms in the expansion of (a + x)¹²is

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13

12

11

10

For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

If | x | < 1, then the first two terms of (1 - x)^1/2are

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1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

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12

n=14

17

n=15

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

The middle term(s) of (a+x)11 is

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6th term

6thor 7th

7th term

6thand7th

1st four terms of the expansion (1-x)^-2are

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1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

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3/8

7/8

1/8

None

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

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28 / 81

28 / 243

81 / 28

243 / 82

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

a + x is ______

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A trinomial

A binomial

A monomial

None of these

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

The term involving x4 the expansion (3-2x)7 is

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217 x4

15120x4

313x4

-25x4

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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