# NCERT Class 11/MCQ Questions for Class 11 Maths sets 2 Sample Test,Sample questions

1. 2n

2.22n

3.23n

4.24n

1.greater than

2. less than

3. equal to

4.None of these

1.604800

2.17280

3.120960

4.518400

1.40

2.196

3.280

4.346

## Question: `Find real Î¸ such that (3 + 2i Ã— sin Î¸)/(1 â€“ 2i Ã— sin Î¸) is imaginary`

1. Î¸ = nÏ€ Â± Ï€/2 where n is an integer

2. Î¸ = nÏ€ Â± Ï€/3 where n is an integer

3.Î¸ = nÏ€ Â± Ï€/4 where n is an integer

4.None of these

1.1296

2.671

3.625

4.585

1.1296

2.671

3.625

4.585

1. 720

2.420

3.5040

4.None of these

1.24

2.12

3.16

4.22

1.120

2.240

3.360

4.480

1.(-8, âˆž)

2. (8, âˆž)

3.(âˆž, -8)

4. (âˆž, 8)

## Question: `If (|x| â€“ 1)/(|x| â€“ 2) â€Žâ‰¥ 0, x âˆˆ R, x â€ŽÂ± 2 then the interval of x is`

1.(-âˆž, -2) âˆª [-1, 1]

2.[-1, 1] âˆª (2, âˆž)

3.(-âˆž, -2) âˆª (2, âˆž)

4.(-âˆž, -2) âˆª [-1, 1] âˆª (2, âˆž)

1. (1/2, 3/2)

2.(-1/2, 3/2)

3.(3/2, 1/2)

4.(3/2, -1/2)

## Question: `If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then`

1.a, b, c are in AP

2. aÂ², bÂ², cÂ² are in AP

3.1/1, 1/b, 1/c are in AP

4.None of these

1.b = a + c

2.2b = a + c

3.bÂ² = a + c

4.2bÂ² = a + c

1.b = a + c

2.2b = a + c

3.bÂ² = a + c

4.2bÂ² = a + c

1.AP

2.GP

3.HP

4.None of these

1.Ï€

2.-Ï€

3.-Ï€/2

4. Ï€/2

1.128 Ï‰

2. -128 Ï‰

3.128 Ï‰Â²

4. -128 Ï‰Â²

1.0

2.1

3.-1

4.10

1. 7

2.9

3.49

4.81

1. 7

2.9

3.49

4.81

## Question: `If n is a positive integer, then (âˆš3+1)2n+1 + (âˆš3âˆ’1)2n+1 is`

1.an even positive integer

2.a rational number

3.an odd positive integer

4.an irrational number

## Question: `If n is a positive integer, then (âˆš5+1)2n + 1 âˆ’ (âˆš5âˆ’1)2n + 1 is`

1. an odd positive integer

2.not an integer

3.an even positive integer

4.none of these

1. 250

2.350

3.450

4.550

## Question: `If the cube roots of unity are 1, Ï‰, Ï‰Â², then the roots of the equation (x â€“ 1)Â³ + 8 = 0 are`

1. -1, -1 + 2Ï‰, â€“ 1 â€“ 2Ï‰Â²

2. â€“ 1, -1, â€“ 1

3.â€“ 1, 1 â€“ 2Ï‰, 1 â€“ 2Ï‰Â²

4.â€“ 1, 1 + 2Ï‰, 1 + 2Ï‰Â²

1.2

2.1/2

3.3

4.4

1. 0

2.1

3. -1

4.None of these

1.(-2, 2)

2. (-2, âˆž)

3.(2, âˆž)

4.No solution

1. -2

2.2

3.-2, 2

4.None of these

1.1

2.2

3.3

4.4

## Question: `If | x âˆ’ 1| > 5, then`

1. xâˆˆ(âˆ’âˆž, âˆ’4)âˆª(6, âˆž]

2.xâˆˆ[6, âˆž)

3.xâˆˆ(6, âˆž)

4.xâˆˆ(âˆ’âˆž, âˆ’4)âˆª(6, âˆž)

1.(-âˆž, -5)

2. (âˆž, 5)

3. (-5, âˆž)

4. (-5, 5)

1.54 â€“ 1

2.54

3.45 â€“ 1

4.45

1. 40230

2.40320

3.5040

4.50400

1.2

2.4

3.6

4.8

1.10

2.15

3.20

4.25

## Question: ```In the expansion of (a + b)n, if n is even then the middle term is ```

1. (n/2 + 1)th term

2.(n/2)th term

3.nth term

4.(n/2 â€“ 1)th term

1. 0

2.1

3.2

4.More than 2

1.5

2.7

3.6

4.4

1. -2âˆš3 + 2i

2.2âˆš3 + 2i

3.2âˆš3 â€“ 2i

4.-âˆš3 + i

1.aÂ² = b

2.aÂ² = 2b

3.aÂ² = 3b

4. aÂ² = 4b

1.1800

2.1080

3.1008

4.8001

1. x = -1, -2

2.x = -1

3. x = -2

4.None of these

## Question: `Solve: 1 â‰¤ |x â€“ 1| â‰¤ 3`

1.[-2, 0]

2.[2, 4]

3.[-2, 0] âˆª [2, 4]

4.None of these

## Question: `Solve: f(x) = {(x â€“ 1)Ã—(2 â€“ x)}/(x â€“ 3) â‰¥ 0`

1. (-âˆž, 1] âˆª (2, âˆž)

2. (-âˆž, 1] âˆª (2, 3)

3.(-âˆž, 1] âˆª (3, âˆž)

4.None of these

1.(2, 8)

2.(-2, 8)

3.(8, 2)

4.(8, -2)

## Question: `Sum of two rational numbers is ______ number`

1.rational

2.irrational

3.Integer

4.Both 1, 2 and 3

1. 1

2.(-1)n

3.n

4.n+1

## Question: ```The coefficient of xn in the expansion of (1 â€“ 2x + 3xÂ² â€“ 4xÂ³ + â€¦â€¦..)-n is ```

1.(2n)!/n!

2.(2n)!/(n!)Â²

3.(2n)!/{2Ã—(n!)Â²}

4.None of these

1. 10c

2.10cÂ²

3.10cÂ³

4.None of these

1. 10c

2.10cÂ²

3.10cÂ³

4.None of these

## Question: `The complex numbers sin x + i cos 2x are conjugate to each other for`

1. x = nÏ€

2. x = 0

3. x = (n + 1/2) Ï€

4.no value of x

## Question: `The curve represented by Im(zÂ²) = k, where k is a non-zero real number, is`

1.a pair of striaght line

2.an ellipse

3. a parabola

4.a hyperbola

## Question: `The curve represented by Im(zÂ²) = k, where k is a non-zero real number, is`

1.a pair of striaght line

2.an ellipse

3. a parabola

4.a hyperbola

## Question: `The fourth term in the expansion (x â€“ 2y)12 is`

1.-1670 x9 Ã— yÂ³

2. -7160 x9 Ã— yÂ³

3.-1760 x9 Ã— yÂ³

4. -1607 x9 Ã— yÂ³

## Question: `The general term of the expansion (a + b)n is`

1. Tr+1 = nCr Ã— ar Ã— br

2.Tr+1 = nCr Ã— ar Ã— bn-r

3.Tr+1 = nCr Ã— an-r Ã— bn-r

4.Tr+1 = nCr Ã— an-r Ã— br

## Question: `The graph of the inequations x â‰¥ 0, y â‰¥ 0, 3x + 4y â‰¤ 12 is`

1.interior of a triangle including the points on the sides

2.in the 2nd quadrant

3.exterior of a triangle

4.None of these

## Question: `The greatest coefficient in the expansion of (1 + x)10 is`

1.10!/(5!)

2.10!/(5!)Â²

3.10!/(5! Ã— 4!)Â²

4.10!/(5! Ã— 4!)

## Question: `The interval in which f(x) = (x â€“ 1) Ã— (x â€“ 2) Ã— (x â€“ 3) is negative is`

1.x > 2

2.2 < x and x < 1

3.2 < x < 1 and x < 3

4.2 < x < 3 and x < 1

1.1

2.2

3.3

4.4

1. 41

2.-41

3. âˆš41

4.-âˆš41

1.n/2Cr

2.n/2Cr/2

3.nCr/2

4.nCr

1.4815

2.4851

3.8451

4.8415

1.64

2.160

3.224

4.204

1.152100

2.1512

3.15120

4.151200

1.58

2.85

3.8P5

4.5P5

1.1

2.6

3.6!

4.None of these

## Question: ```The region of the XOY-plane represented by the inequalities x â‰¥ 6, y â‰¥ 2, 2x + y â‰¤ 10 is ```

1.unbounded

2. a polygon

3.exterior of a triangle

4.None of these

## Question: `The solution of the -12 < (4 -3x)/(-5) < 2 is`

1.56/3 < x < 14/3

2. -56/3 < x < -14/3

3.56/3 < x < -14/3

4.-56/3 < x < 14/3

1.27 < x < 2

2.27 < x < -2

3.-27 < x < 2

4.-27 < x < -2

1. (1, âˆž)

2. (-1, 3)

3.(1, -3)

4.(âˆž, 1)

## Question: `The solution of |2/(x â€“ 4)| > 1 where x â‰  4 is`

1.(2, 6)

2. (2, 4) âˆª (4, 6)

3. (2, 4) âˆª (4, âˆž)

4.(-âˆž, 4) âˆª (4, 6)

1. n/(n+1)

2.1/(n+1)

3.1/n

4.None of these

1. 1

2.-1

3.i

4.-i

1.2

2.4

3.6

4.8

1. n

2. 2n

3.n!

4. 2n!

## Question: `The value of x and y if (3y â€“ 2) + i(7 â€“ 2x) = 0`

1.x = 7/2, y = 2/3

2. x = 2/7, y = 2/3

3.x = 7/2, y = 3/2

4. x = 2/7, y = 3/2

1.185

2.210

3.220

4.175

1.2 + âˆš3

2.2 â€“ âˆš3

3. 2 Â± âˆš3

4.None of these

## More MCQS

##### Olete Team
Online Exam TestTop Tutorials are Core Java,Hibernate ,Spring,Sturts.The content on Online Exam Testwebsite is done by expert team not only with the help of books but along with the strong professional knowledge in all context like coding,designing, marketing,etc!