# NCERT Class 11/MCQ Questions for Class 11 Maths sets 1 Sample Test,Sample questions

1.1 + nx

2.1 â€“ nx

3.1 + nx/2 (

4.1 â€“ nx/2

1.âˆª â€“ A

2.Aâ€™

3.âˆª

4.A

## Question: `(nÂ² + n) is ____ for all n âˆˆ N.`

1.Even

2.odd

3.Either even or odd

4.None of these

## Question: `1/(1 âˆ™ 2 âˆ™ 3) + 1/(2 âˆ™ 3 âˆ™ 4) + â€¦â€¦.. + 1/{n(n + 1)(n + 2)} =`

1. {n(n + 3)}/{4(n + 1)(n + 2)}

2.(n + 3)/{4(n + 1)(n + 2)}

3.n/{4(n + 1)(n + 2)}

4.None of these

1. n(n + 1)

2.n/(n + 1)

3.2n/(n + 1)

4.3n/(n + 1)

1.9

2.10

3.11

4.13

## Question: `A â€“ B is read as?`

1.Difference of A and B of B and A

2.None of the above

3. Difference of B and A

4. Both a and b

## Question: `A function f(x) is said to be an odd function if`

1.f(-x) = f(x)

2.f(-x) = -f(x)

3. f(-x) = k * f(x) where k is a constant

4.None of these

1. (0, 4, 4)

2.(0, -4, 4)

3. (0, -4, -4)

4.None of these

## Question: `Empty set is a?`

1. Finite Set

2. Invalid Set

3.None of the above

4.Infinite Set

1.n(n+1)(n+2)/3

2. n(n+1)(n+2)/6

3.n(n+2)/6

4.(n+1)(n+2)/6

1.19

2.17

3.23

4.25

1.25

2.2304

3.1234

4.26

1.3

2.4

3.5

4.7

1. 0

2.Finite

3.Infinite

4.1

1.30

2.45

3. 60

4.90

## Question: `IF A = [5, 6, 7] and B = [7, 8, 9] then A âˆª B is equal to`

1.[5, 6, 7, 8, 9]

2.[5, 6, 7]

3. [7, 8, 9]

4.None of these

## Question: `If A = [5, 6, 7] and B = [7, 8, 9] then A U B is equal to`

1. [5, 6, 7, 8, 9]

2. [5, 6, 7]

3.[7, 8, 9]

4.None of these

## Question: `If A, B and C are any three sets, then A â€“ (B âˆª C) is equal to`

1.(A â€“ B) âˆª (A â€“ C)

2.(A â€“ B) âˆª C

3. (A â€“ B) âˆ© C

4.(A â€“ B) âˆ© (A â€“ C)

## Question: `If A, B and C are any three sets, then A Ã— (B âˆª C) is equal to`

1.(A Ã— B) âˆª (A Ã— C)

2. (A âˆª B) Ã— (A âˆª C)

3.(A Ã— B) âˆ© (A Ã— C)

4.None of these

1. B = C

2.A = C

3.A = B = C

4. A = B

## Question: `If aÃ—cos x + b Ã— cos x = c, then the value of (a Ã— sin x â€“ bÂ²cos x)Â² is`

1.aÂ² + bÂ² + cÂ²

2.aÂ² â€“ bÂ² â€“ cÂ²

3.aÂ² â€“ bÂ² + cÂ²

4. aÂ² + bÂ² â€“ cÂ²

1.2b = a + c

2. bÂ² = a Ã— c

3.a = b = c

4.None of these

## Question: `If f is an even function and g is an odd function the fog is a/an`

1.Even function

2.Odd function

3.Either even or odd function

4.Neither even nor odd function

1. 1/x

2.x

3.xÂ²

4. x1/2

1.0

2. 1

3.-1

4.None of these

1.(1, 1)

2.(3, 3)

3. (1, 3)

4. (2, 3)

1.x

2.xÂ²

3.xÂ³

4.None of these

## Question: `If f(x) is an odd differentiable function on R, then df(x)/dx is a/an`

1.Even function

2.Odd function

3.Either even or odd function

4.Neither even nor odd function

1.aÂ² + bÂ²

2. a + b

3.a â€“ b

4.None of these

## Question: `IF R = {(2, 1),(4, 3),(4, 5)}, then range of the function is?`

1.Range R = {2, 4}

2. Range R = {1, 3, 5}

3.Range R = {2, 3, 4, 5}

4.Range R {1, 1, 4, 5}

1.x + y

2.1/x + y

3. x + 1/y

4.1/x + 1/y

1. 2 â€“ eÂ²

2.(2 â€“ eÂ²)1/2

3. (2 â€“ eÂ²)Â²

4.(2 â€“ eÂ²)3/2

## Question: `If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is`

1.4 : (âˆš5 â€“ 1)

2.5 : 4

3.(âˆš5 â€“ 1) : 4

4.None of these

1. 2Ï€/3

2.Ï€/3

3.Ï€/2

4. Ï€/6

1. Ï€/3

2. Ï€/2

3.2Ï€/3

4.3Ï€/2

## Question: `if z lies on |z| = 1, then 2/z lies on`

1.a circle

2. an ellipse

3.a straight line

4. a parabola

1. X < 0, Y < 0

2. X < 0, Y > 0

3.X > 0, Y > 0

4.X > 0, Y < 0

1.19

2.41

3.21

4.57

1.24

2.25

3.26

4.27

1. c/a

2.1

3.a/c

4.None of these

1.X < 0, Y > 0

2. X < 0, Y < 0

3. X > 0, Y < 0

4. X > 0, Y > 0

1.{7, -5, -3}

2.{-7, 5, -3}

3.{-7, -5, 3}

4. {-7, -5, -3}

1. 2x + 1

2.2xÂ² + 1

3.(2x + 1)Â²

4.None of these

1.2

2.3

3.5

4.7

1. R

2.R -{1/2}

3.R -{-1/2}

4.None of these

1.x > 0

2. |x| â‰¥ 1

3. |x| > 4

4.x â‰¥ 4

1. {1, 2}

2.R

3.R â€“ {1, 2}

4.R â€“ {1, -2}

## Question: `The domain of the function f(x) = sin-1 (tan x) is`

1. -Ï€/4 â‰¤ x â‰¤ Ï€/4

2.nÏ€ â€“ Ï€/4 â‰¤ x â‰¤ nÏ€ + Ï€/4

3.nÏ€ â€“ Ï€/3 â‰¤ x â‰¤ nÏ€ + Ï€/3

4.-Ï€/3 â‰¤ x â‰¤ Ï€/3

1.4

2.6

3.12

4.24

1.0

2.1

3.2

4.3

## Question: `The general solution of âˆš3 cos x â€“ sin x = 1 is`

1. x = n Ã— Ï€ + (-1)n Ã— (Ï€/6)

2. x = Ï€/3 â€“ n Ã— Ï€ + (-1)n Ã— (Ï€/6)

3.x = Ï€/3 + n Ã— Ï€ + (-1)n Ã— (Ï€/6)

4.x = Ï€/3 â€“ n Ã— Ï€ + (Ï€/6)

## Question: `The members of the set S = {x | x is the square of an integer and x < 100} is`

1. {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}

2.{0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

3.{1, 4, 9, 16, 25, 36, 64, 81, 85, 99}

4.{0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

1. 4n â€“ 1

2.nÂ² + n + 1

3.n + 2

4.None of these

1.2

2.4

3.8

4.16

1.30Â°

2.90Â°

3.60Â°

4.120Â°

1.Ï€/2

2.Ï€/3

3. Ï€/4

4.Ï€/6

## Question: `The range of the function 7-xPx-3 is`

1. {1, 2, 3, 4, 5}

2.{3, 4, 5}

3. {1, 2, 3}

4.None of these

1.(- âˆž, âˆž)

2.R â€“ {3}

3.(- âˆž, 0)

4.(0, â€“ âˆž)

## Question: `The sum of the series 1Â² + 2Â² + 3Â² + â€¦â€¦â€¦..nÂ² is`

1.n(n + 1)(2n + 1)

2.n(n + 1)(2n + 1)/2

3.n(n + 1)(2n + 1)/3

4.n(n + 1)(2n + 1)/6

1.{(n + 1)/2}Â²

2. {n/2}Â²

3.n(n + 1)/2

4.{n(n + 1)/2}Â²

1.tan 6x

2.2 tan 6x

3.3 tan 6x

4. 4 tan 6x

1.tan 6x

2.2 tan 6x

3.3 tan 6x

4. 4 tan 6x

1.sin x

2.sin 2x

3.sin 3x

4.sin 4x

1.12i

2.-12i

3. Â±12i

4.None of these

1. -4i

2.4i

3.-2i

4.2i

1. 13i

2. -13i

3.17i

4. -17i

1.0

2.1

3. -1

4.infinite

1.0

2.1

3.-1

4.None of these

1. 0

2.1

3.-1

4.None of these

1.sin (x + y)

2.sinÂ² (x + y)

3.sinÂ³ (x + y)

4.sin4 (x + y)

1. tan 30

2.tan 60

3.2 tan 30

4.2 tan 60

1. tan 30

2.tan 60

3.2 tan 30

4.2 tan 60

1.7, 6

2.6, 4

3.7, 4

4.6, 3

## Question: `Two functions f and g are said to be equal if f`

1. the domain of f = the domain of g

2. the co-domain of f = the co-domain of g

3.f(x) = g(x) for all x

4.All of the above

## Question: `Which of the following sets are null sets`

1.{x: |x |< -4, x ?N}

2.2 and 3

3. Set of all prime numbers between 15 and 19

4. {x: x < 5, x > 6}

## Question: `Which of the following two sets are equal`

1. A = {1, 2} and B = {1}

2.A = {1, 2} and B = {1, 2, 3}

3.A = {1, 2, 3} and B = {2, 1, 3}

4.A = {1, 2, 4} and B = {1, 2, 3}

## Question: `{ (A, B) : AÂ² +BÂ² = 1} on the sets has the following relation`

1.reflexive

2.symmetric

3.none

4.reflexive and transitive

## Question: `{1 â€“ (1/2)}{1 â€“ (1/3)}{1 â€“ (1/4)} â€¦â€¦. {1 â€“ 1/(n + 1)} =`

1.1/(n + 1) for all n âˆˆ N.

2.1/(n + 1) for all n âˆˆ R

3.n/(n + 1) for all n âˆˆ N

4. n/(n + 1) for all n âˆˆ R

1. n/(2n + 3)

2.n/{2(2n + 3)}

3.n/{3(2n + 3)}

4.n/{4(2n + 3)}

## More MCQS

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