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11th Standard Maths Sets, Relations and Functions English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. The number of constant functions from a set containing m elements to a set containing n elements is

    (a)

    mn

    (b)

    m

    (c)

    n

    (d)

    m+n

  2. If the function f:[-3,3]➝S defined by f(x)=x2 is onto, then S is

    (a)

    [-9,9]

    (b)

    R

    (c)

    [-3,3]

    (d)

    [0,9]

  3. Which one of the following is a finite set?

    (a)

    {x:x∈Z, x<5}

    (b)

    {x:x∈W, x≥5}

    (c)

    {x:x∈N, x>10}

    (d)

    {x:x is an even prime number}

  4. Given A={5,6,7,8}. Which one of the following is incorrect?

    (a)

    Ø⊆A

    (b)

    A⊆A

    (c)

    {7,8,9}⊆A

    (d)

    {5}⊆A

  5. If A={1,2,3}, B={1,4,6,9} and R is a relation from A to B defined by "x is greater than y". The range of R is

    (a)

    {1,4,6,9}

    (b)

    {4,6,9}

    (c)

    {1}

    (d)

    None of these

  6. Let R be the relation over the set of all straight lines in a plane such that l1Rl2 ⇔ l1丄l2 . Then  R is

    (a)

    symmetric

    (b)

    reflexive

    (c)

    transitive

    (d)

    an equivalent relation

  7. If A = {(x,y) : y = ex, x∈R} and B = {(x,y) : y=e-x, x ∈ R} then n(A∩B) is

    (a)

    Infinity

    (b)

    0

    (c)

    1

    (d)

    2

  8. The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. The number of students take at least one of these two subjects, is

    (a)

    1120

    (b)

    1130

    (c)

    1100

    (d)

    insufficient data

  9. Let R be the universal relation on a set X with more than one element. Then R is

    (a)

    not reflexive

    (b)

    not symmetric

    (c)

    transitive

    (d)

    none of the above

  10. Which of the following functions is an even function?

    (a)

    \(f(x)={2^x+2^{-n}\over 2^x-2^{-x}}\)

    (b)

    \(f(x)={3^x+1\over 3^x-1}\)

    (c)

    \(f(x)={x.3^x-1\over 3^x+1}\)

    (d)

    \(f(x) = log (x +\sqrt{x^2 + 1})\)

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