Maths MCQ Class 11 Ch-2 | Relations &Functions
MCQ | Class 11 | Ch-2, RELATIONS & FUNCTONS
MCQ | CHAPTER 2 | CLASS 11
RELATIONS AND FUNCTIONS
Q 1) IF R = {(2, 1), (4, 3), (4, 5)}, then range of the function is?(a) Range R = {2, 4}
(b) Range R = {1, 3, 5}
(c) Range R = {2, 3, 4, 5}
(d) Range R {1, 1, 4, 5}
Ans: b
Q 2) If (x + 2, y - 3) = (5, 7) then find values of x and y.
a) x = 3 and y = 10
b) x = 3 and y = 4
c) x = 7 and y = 4
d) x = 7 and y = 10
a) x = 3 and y = 10
b) x = 3 and y = 4
c) x = 7 and y = 4
d) x = 7 and y = 10
Ans: a
Q 3) Let R be a relation on N defined by x + 2y = 8. The domain of R is
a) {2, 4, 6, 8}
b) { 1, 2, 3, 4}
c) {2, 4, 8}
d) {2, 4, 6}
a) {2, 4, 6, 8}
b) { 1, 2, 3, 4}
c) {2, 4, 8}
d) {2, 4, 6}
Ans: d
Q 4) If A, B and C are any three sets, then A × (B ∪ C) is equal to
(a) (A × B) ∪ (A × C)
(b) (A ∪ B) × (A ∪ C)
(c) None of these
(d) (A × B) ∩ (A × C)
(a) (A × B) ∪ (A × C)
(b) (A ∪ B) × (A ∪ C)
(c) None of these
(d) (A × B) ∩ (A × C)
Ans: a
Q 5) The range of the function f(x) = 3x – 2‚ is
(a) (- ∞, ∞)
(b) R – {3}
(c) (- ∞, 0)
(d) (0, – ∞)
(a) (- ∞, ∞)
(b) R – {3}
(c) (- ∞, 0)
(d) (0, – ∞)
Ans: a
Q 6) Given g(1) = 1 and g(2) = 3. If g(x) is described by the formula g(x) = ax + b then the value of a and b is
a) 2, 1
b) -2, 1
c) 2, -1
d) -2, -1
a) 2, 1
b) -2, 1
c) 2, -1
d) -2, -1
Ans: c
Q 7) Two functions f and g are said to be equal if
a) The domain of f = The domain of g
b) The co-domain of f = The co-domain of g
c) f(x) = g(x) for all x
d) All of above
a) The domain of f = The domain of g
b) The co-domain of f = The co-domain of g
c) f(x) = g(x) for all x
d) All of above
Ans: d
Q 8) If the set has p elements, B has q elements then number of elements in A x B is
a) p q
b) p + q
c) p + q + 1
d) p - q
Q 11) If R is the subset of A X B relation is defined by R = {(2, 3), (3, 4), (5, 7), (2, 11), (6, 3) } then R is
(a) not a relation
(b) a function only
(c) not a function
(d) none of these
a) p q
b) p + q
c) p + q + 1
d) p - q
Ans: a
Q 9) What is the domain of the logarithmic function Log x
(a) R
(b) (0, ∞)
(c ) (- ∞ , ∞ )
(d) None of these
(a) R
(b) (0, ∞)
(c ) (- ∞ , ∞ )
(d) None of these
Ans: b
Q 10) If A = { 1, 2, 3, 4} and B = { a, b, c} then what is number of relations from A to B
(a) 24
(b) 12
(c) 27
(d) 212
(a) 24
(b) 12
(c) 27
(d) 212
Ans: d
(a) not a relation
(b) a function only
(c) not a function
(d) none of these
Ans: c
Q 12) What is the range of a signum function
(a) {-1, 0, 1}
(b) (-1, 1)
(c) All Real Numbers
(d) (0, ∞)
(a) {-1, 0, 1}
(b) (-1, 1)
(c) All Real Numbers
(d) (0, ∞)
Ans: a
Q 13) How many rational and irrational numbers are possible between 0 and 1 ?
a) 0
b) Finite
c) Infinite
d) 1
a) 0
b) Finite
c) Infinite
d) 1
Ans: c
Q 14) A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x² + y² = 16 then the domain of R is
(a) (4, 4)
(b) (- 4, 4)
(c) ( -4, - 4)
(d) None of these
(a) (4, 4)
(b) (- 4, 4)
(c) ( -4, - 4)
(d) None of these
Ans: b
(a) {1, 2}
(b) R
(c) R – {1, 2}
(d) R – {1, -2}
Ans: c
Q 16) Let A = {- 2, - 1, 0} and f(x) = 2x – 3 then the range of f is
(a) {7, - 5, - 3}
(b) {-7, 5, - 3}
(c) {- 7, - 5, 3}
(d) {-7, - 5, - 3}
(a) {7, - 5, - 3}
(b) {-7, 5, - 3}
(c) {- 7, - 5, 3}
(d) {-7, - 5, - 3}
Ans: d
Q 17) Which of the following is not a function?
a) {(1, 2), (2, 4), (3, 6)}
b) {(-1, 1), (-2, 4), (2, 4)}
c) {(1, 2), (1, 4), (2, 5), (3, 8)}
d) {(1, 1), (2, 2), (3, 3)}
a) {(1, 2), (2, 4), (3, 6)}
b) {(-1, 1), (-2, 4), (2, 4)}
c) {(1, 2), (1, 4), (2, 5), (3, 8)}
d) {(1, 1), (2, 2), (3, 3)}
Ans: c
Q 18) Find domain of function |x|.
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
Ans: a
Q 19) If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set A.
a) {1}
b) {1, 2}
c) {1, a}
d) {a, b, c}
a) {1}
b) {1, 2}
c) {1, a}
d) {a, b, c}
Ans: b
Q 20) Which function is shown in graph?
a) Constant
b) Modulus
c) Identity
d) Signum function
b) Modulus
c) Identity
d) Signum function
Ans: b
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
Ans: b
Q 25) If P X Q is an empty set then which of the following is a null set?
a) only P
b) only Q
c) either P or Q
d) both P and Q
\:%20\:%20\:%20%20\left%20[%20\frac{5}{6},\infty%20\right%20))
\:%20\:%20\:%20%20\left%20(%20-\infty%20,\frac{5}{6}%20\right%20])
\:%20\:%20\:%20%20\left%20(%20-\infty%20,\frac{5}{6}%20\right%20))
Ans: d
Q 43) If R = {(x, y) : x, y ∈ W, x2 + y2 = 169 }, then domain of R is
a) Constant b) Modulus c) Identity d) Signum function
Q 22) f(x) = 
Find the domain of the function
a) (0, 3)
b) [0, 3]
c) [-3, 3]
d) (-3, 3)
b) [0, 3]
c) [-3, 3]
d) (-3, 3)
Ans: c
Q 23) f(x) = Find the Range of the function
a) (0, 3)
b) [0, 3]
c) [-3, 3]
d) (-3, 3)
b) [0, 3]
c) [-3, 3]
d) (-3, 3)
Ans: b
Q 24) If set P has 4 elements and set Q has 5 elements then find the number of elements in P X Q.
a) 9
b) 45
c) 20
d) 54
a) 9
b) 45
c) 20
d) 54
Ans: c
Q 25) If P X Q is an empty set then which of the following is a null set?
a) only P
b) only Q
c) either P or Q
d) both P and Q
Ans: c
Q 26) If (x + 2, y - 3) = (5, 7) then find values of x and y.
a) x = 3 and y = 10
b) x = 3 and y = 4
c) x = 7 and y = 4
d) x = 7 and y = 10
a) x = 3 and y = 10
b) x = 3 and y = 4
c) x = 7 and y = 4
d) x = 7 and y = 10
Ans: a
Q 27) If P X Q has 10 elements then which is not possible?
a) n(P) = 1 and n(Q) = 10
b) n(P) = 10 and n(Q) = 1
c) n(P) = 2 and n(Q) = 5
d) n(P) = 5 and n(Q) = 4
a) n(P) = 1 and n(Q) = 10
b) n(P) = 10 and n(Q) = 1
c) n(P) = 2 and n(Q) = 5
d) n(P) = 5 and n(Q) = 4
Ans: d
Q 28) If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set A.
a) {1}
b) {1, 2}
c) {1, a}
d) {a, b, c}
a) {1}
b) {1, 2}
c) {1, a}
d) {a, b, c}
Ans: b
Q 29) If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B.
a) {1}
b) {1, 2}
c) {1, a}
d) {a, b, c}
a) {1}
b) {1, 2}
c) {1, a}
d) {a, b, c}
Ans: d
Q 30) Let A={1, 2, 3, 4, 5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the domain.
a) {1, 2, 3, 4, 5}
b) {2, 3, 4, 5}
c) {1, 2, 3, 4}
d) {1, 2, 3, 4, 5, 6}
a) {1, 2, 3, 4, 5}
b) {2, 3, 4, 5}
c) {1, 2, 3, 4}
d) {1, 2, 3, 4, 5, 6}
Ans: c
Q 31) Let A={1, 2, 3, 4, 5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the range.
a) {1,2,3,4,5}
b) {2,3,4,5}
c) {1,2,3,4}
d) {1,2,3,4,5,6}
a) {1,2,3,4,5}
b) {2,3,4,5}
c) {1,2,3,4}
d) {1,2,3,4,5,6}
Ans: b
Q 32) If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x = y2}. Find range of the relation.
a) {1,4,9}
b) {-1,1, -2,2, -3,3}
c) {1,4,8,9}
d) {-1,1, -2,2, -3,3,5}
a) {1,4,9}
b) {-1,1, -2,2, -3,3}
c) {1,4,8,9}
d) {-1,1, -2,2, -3,3,5}
Ans: b
Q 33) If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x = y2}. Find domain of the relation.
a) {1,4,9}
b) {-1,1, -2,2, -3,3}
c) {1,4,8,9}
d) {-1,1, -2,2, -3,3,5}
a) {1,4,9}
b) {-1,1, -2,2, -3,3}
c) {1,4,8,9}
d) {-1,1, -2,2, -3,3,5}
Ans: c
Q 34) In a function from set A to set B, every element of set A has___________ image in set B.
a) one and only one
b) different
c) same
d) many
a) one and only one
b) different
c) same
d) many
Ans: a
Q 35) Which of the following is not a function?
a) {(1,2), (2,4), (3,6)}
b) {(-1,1), (-2,4), (2,4)}
c) {(1,2), (1,4), (2,5), (3,8)}
d) {(1,1), (2,2), (3,3)}
a) {(1,2), (2,4), (3,6)}
b) {(-1,1), (-2,4), (2,4)}
c) {(1,2), (1,4), (2,5), (3,8)}
d) {(1,1), (2,2), (3,3)}
Ans: c
Q 36) Find domain of function |x|.
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
Ans: a
Q 37) Find range of function |x|.
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
a) Set of real numbers
b) Set of positive real numbers
c) Set of integers
d) Set of natural numbers
Ans: b
Q 38) Domain of 
is
a) [0,4]
b) (0,4)
c) R- (0,4)
d) R- [0,4]
b) (0,4)
c) R- (0,4)
d) R- [0,4]
Ans: a
Q 39) The range of f(x) = 
is
a) 1
b) -1
c) {1}
d {-1}
b) -1
c) {1}
d {-1}
Ans: d
Q 40) The range of the function f(x) = |x-1| is
a) (- ∞, ∞
a) (- ∞, ∞
b) (0, ∞)
c) [0, ∞)
d(-∞ , 0)
Ans: c
Q 41) Domain of is
a) [0,4]
b) (0,4)
c) R- (0,4)
d) R- [0,4]
b) (0,4)
c) R- (0,4)
d) R- [0,4]
Ans: a
Q 42) The domain of the function f defined by f(x) = loge (5 - 6x) is
\:%20\:%20\:%20\left%20(%20\frac{5}{6},\infty%20%20\right%20))
Q 43) If R = {(x, y) : x, y ∈ W, x2 + y2 = 169 }, then domain of R is
a) { 0, 土1, 土2, 土3, ............, 土13}
b) {0, 5, 12, 13 }
c) {0, 1, 2, 3, .........., 13 }
d) { -13, -12, -5, 0, 5, 12, 13 }
Ans: b
Q 44) Which function is shown in graph?
Q 44) Which function is shown in graph?
a) Constant b) Modulus c) Identity d) Signum function
Ans: c
Q 45) Let A be a finite set having n elements, then the number of relations on A is
a) 2n b) 
c) nn d) n2
Ans: b
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