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

11th Standard

    Reg.No. :
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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. The function f:[0,2π]➝[-1,1] defined by f(x)=sin x is

    (a)

    one-to-one

    (b)

    on to

    (c)

    bijection

    (d)

    cannot be defined

  2. The shaded region in the adjoining diagram represents.

    (a)

    A\B

    (b)

    B\A

    (c)

    AΔB

    (d)

    A'

  3. If f(x) = |x - 2| + |x + 2|, x ∈ R, then

    (a)

    \(f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\4\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}\)

    (b)

    \(f(x)=\begin{cases}2x\ if\ x∈(-∞,-2] \\4x\ if \ x∈(-2,2]\\ - 2x\ if\ x∈(2,∞)\end{cases}\)

    (c)

    \(f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\-4x\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}\)

    (d)

    \(f(x)=\begin{cases}-2x\ if\ x∈(-∞,-2] \\2x\ if \ x∈(-2,2]\\ 2x\ if\ x∈(2,∞)\end{cases}\)

  4. If two sets A and B have 17 elements in common, then the number of elements common to the set A x B and B x A is

    (a)

    217

    (b)

    172

    (c)

    34

    (d)

    insufficient data

  5. Let f:Z➝Z be given by f(x)=\(\begin{cases} \frac { x }{ 2 } \quad if\quad x\quad is\quad even \\ 0\quad if\quad x\quad is\quad odd \end{cases}\) . Then f is

    (a)

    one-one but not onto

    (b)

    onto but not one-one

    (c)

    one-one and onto

    (d)

    neither one-one nor onto

  6. Domain of the function \(y={x-1\over x+1}\) is:

    (a)

    1R

    (b)

    Q

    (c)

    R-(-1)

    (d)

    R-1

  7. Let X = {a, b,c},y = (1,2,3) then \(f:x\rightarrow y\) given by (a, 1) (b, 1) (c, 1) is called:

    (a)

    onto

    (b)

    constant function

    (c)

    one one

    (d)

    bijective

  8. The function f(x) = log (x + \(\sqrt{x^2+1}\)) is

    (a)

    an even function

    (b)

    an odd function

    (c)

    a periodic function

    (d)

    neither an even nor an odd function

  9. If \(f(x)={1-x\over 1+x},(x\neq0)\) then f-1(x) =

    (a)

    f(x)

    (b)

    \(1\over f(x)\)

    (c)

    -f(x)

    (d)

    -\(1\over f(x)\)

  10. If n(A) = 1024 then n[P(A)] =

    (a)

    210

    (b)

    \(2^{2^{10}}\)

    (c)

    cannot be determined

    (d)

    410

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