Question # 1

The expansion of (1 - 3x)^-1is valid if

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| x | < 1

| x | < 3

| x | < 1/3

None of these

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

The sum of the odd coefficients in the expansion of (a + x)⁴is

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14

12

8

4

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 sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

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

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6th term

6thor 7th

7th term

6thand7th

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

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The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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

If n is any positive integer then n²> n + 3 for

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The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

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

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

The sum of the coefficient in the expansion of (a + x)⁵is

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32

16

8

5

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

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-2x2

-4x2

2x2

4x2

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

(51)⁴is equal to

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7065201

8065201

6765201

6565201

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