Relations and Functions One Mark Questions

10th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 15
    15 x 1 = 15
  1. If n(A x B) =6 and A={1,3} then n(B) is

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    6

  2. A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

    (a)

    8

    (b)

    20

    (c)

    12

    (d)

    16

  3. If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

    (a)

    (A x C) ⊂ (B x D)

    (b)

    (B x D) ⊂ (A x C)

    (c)

    (A x B) ⊂ (A x D)

    (d)

    (D x A) ⊂ (B x A)

  4. If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

    (a)

    3

    (b)

    2

    (c)

    4

    (d)

    8

  5. The range of the relation R ={(x,x2) |x is a prime number less than 13} is

    (a)

    {2,3,5,7}

    (b)

    {2,3,5,7,11}

    (c)

    {4,9,25,49,121}

    (d)

    {1,4,9,25,49,121}

  6. If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

    (a)

    (2,-2)

    (b)

    (5,1)

    (c)

    (2,)

    (d)

    (3,-2)

  7. Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

    (a)

    mn

    (b)

    nm

    (c)

    2mn-1

    (d)

    2mn

  8. If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

    (a)

    (8,6)

    (b)

    (8,8)

    (c)

    (6,8)

    (d)

    (6,6)

  9. Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

    (a)

    Many-one function

    (b)

    Identity function

    (c)

    One-to-one function

    (d)

    Into function

  10. If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

    (a)

    \(\\ \frac { 3 }{ 2x^{ 2 } } \)

    (b)

    \(\\ \frac { 2 }{ 3x^{ 2 } } \)

    (c)

    \(\\ \frac { 2 }{ 9x^{ 2 } } \)

    (d)

    \(\\ \frac { 1 }{ 6x^{ 2 } } \)

  11. If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

    (a)

    7

    (b)

    49

    (c)

    1

    (d)

    14

  12. Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

    (a)

    {0,2,3,4,5}

    (b)

    {–4,1,0,2,7}

    (c)

    {1,2,3,4,5}

    (d)

    {0,1,2}

  13. Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

    (a)

    f(xy) = f(x).f(y)

    (b)

    f(xy) ≥ f(x).f(y)

    (c)

    f(xy) ≤ f(x).f(y)

    (d)

    None of these

  14. If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

    (a)

    (-1,2)

    (b)

    (2,-1)

    (c)

    (-1,-2)

    (d)

    (1,2)

  15. f(x) = (x+1)3 - (x-1)3 represents a function which is

    (a)

    linear

    (b)

    cubic

    (c)

    reciprocal

    (d)

    quadratic

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