# 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 θ such that (3 + 2i × sin θ)/(1 – 2i × sin θ) is imaginary`

1. θ = nπ ± π/2 where n is an integer

2. θ = nπ ± π/3 where n is an integer

3.θ = nπ ± π/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, ∞)

2. (8, ∞)

3.(∞, -8)

4. (∞, 8)

## Question: `If (|x| – 1)/(|x| – 2) ‎≥ 0, x ∈ R, x ‎± 2 then the interval of x is`

1.(-∞, -2) ∪ [-1, 1]

2.[-1, 1] ∪ (2, ∞)

3.(-∞, -2) ∪ (2, ∞)

4.(-∞, -2) ∪ [-1, 1] ∪ (2, ∞)

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. a², b², c² 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.b² = a + c

4.2b² = a + c

1.b = a + c

2.2b = a + c

3.b² = a + c

4.2b² = a + c

1.AP

2.GP

3.HP

4.None of these

1.π

2.-π

3.-π/2

4. π/2

1.128 ω

2. -128 ω

3.128 ω²

4. -128 ω²

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 (√3+1)2n+1 + (√3−1)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 (√5+1)2n + 1 − (√5−1)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, ω, ω², then the roots of the equation (x – 1)³ + 8 = 0 are`

1. -1, -1 + 2ω, – 1 – 2ω²

2. – 1, -1, – 1

3.– 1, 1 – 2ω, 1 – 2ω²

4.– 1, 1 + 2ω, 1 + 2ω²

1.2

2.1/2

3.3

4.4

1. 0

2.1

3. -1

4.None of these

1.(-2, 2)

2. (-2, ∞)

3.(2, ∞)

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 − 1| > 5, then`

1. x∈(−∞, −4)∪(6, ∞]

2.x∈[6, ∞)

3.x∈(6, ∞)

4.x∈(−∞, −4)∪(6, ∞)

1.(-∞, -5)

2. (∞, 5)

3. (-5, ∞)

4. (-5, 5)

1.54 – 1

2.54

3.45 – 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 – 1)th term

1. 0

2.1

3.2

4.More than 2

1.5

2.7

3.6

4.4

1. -2√3 + 2i

2.2√3 + 2i

3.2√3 – 2i

4.-√3 + i

1.a² = b

2.a² = 2b

3.a² = 3b

4. a² = 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 ≤ |x – 1| ≤ 3`

1.[-2, 0]

2.[2, 4]

3.[-2, 0] ∪ [2, 4]

4.None of these

## Question: `Solve: f(x) = {(x – 1)×(2 – x)}/(x – 3) ≥ 0`

1. (-∞, 1] ∪ (2, ∞)

2. (-∞, 1] ∪ (2, 3)

3.(-∞, 1] ∪ (3, ∞)

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 – 2x + 3x² – 4x³ + ……..)-n is ```

1.(2n)!/n!

2.(2n)!/(n!)²

3.(2n)!/{2×(n!)²}

4.None of these

1. 10c

2.10c²

3.10c³

4.None of these

1. 10c

2.10c²

3.10c³

4.None of these

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

1. x = nπ

2. x = 0

3. x = (n + 1/2) π

4.no value of x

## Question: `The curve represented by Im(z²) = 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(z²) = 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

1.-1670 x9 × y³

2. -7160 x9 × y³

3.-1760 x9 × y³

4. -1607 x9 × y³

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

1. Tr+1 = nCr × ar × br

2.Tr+1 = nCr × ar × bn-r

3.Tr+1 = nCr × an-r × bn-r

4.Tr+1 = nCr × an-r × br

## Question: `The graph of the inequations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is`

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

3.exterior of a triangle

4.None of these

1.10!/(5!)

2.10!/(5!)²

3.10!/(5! × 4!)²

4.10!/(5! × 4!)

## Question: `The interval in which f(x) = (x – 1) × (x – 2) × (x – 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. √41

4.-√41

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 ≥ 6, y ≥ 2, 2x + y ≤ 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, ∞)

2. (-1, 3)

3.(1, -3)

4.(∞, 1)

## Question: `The solution of |2/(x – 4)| > 1 where x ≠ 4 is`

1.(2, 6)

2. (2, 4) ∪ (4, 6)

3. (2, 4) ∪ (4, ∞)

4.(-∞, 4) ∪ (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 – 2) + i(7 – 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 + √3

2.2 – √3

3. 2 ± √3

4.None of these

## More MCQS

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