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Free download in PDF Class 12 Maths Chapter 1 Relations and Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
1
Consider the non-empty set consisting of children is a family and a relation R defined as aRb If a is brother of b. Then R is
A
symmetric but not transitive
B
transitive but not symmetric
C
neither symmetric nor transitive
D
both symmetric and transitive
View Answer
Answer:transitive but not symmetric
2
Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is
A
reflexive but not symmetric
B
reflexive-but not transitive.
C
symmetric and transitive
D
neither symmetric, nor transitive
View Answer
Answer:reflexive but not symmetric
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3
Let f: [0, 1| → [0, 1| be defined by
A
Constant
B
1 + x
C
x
D
None of these
View Answer
4
If f: R → R defined by f(x) = 2x + 3 then f-1 (x) =
A
2x – 3
B
x-3/2
C
x+3/2
D
None of these
View Answer
5
f(x) =
is the domain of
A
R – {-1, -2}
B
(- 2, ∞) .
C
R- {- 1,-2, -3}
D
(-3, + ∞) – {-1, -2}
View Answer
Answer:(-3, + ∞) – {-1, -2}
6
f: A → B will be an into function if
A
range (f) ⊂ B
B
f(a) = B
C
B ⊂ f(a)
D
f(b) ⊂ A
View Answer
7
If f : R → R such that f(x) = 3x then what type of a function is f?
A
one-one onto
B
many one onto
C
one-one into
D
many-one into
View Answer
8
The maximum number of equivalence relations on the set A = {1, 2, 3} are
View Answer
9
Let f: N → R be the function defined by f(x) = 2x−1/2 and g: Q → R be another function defined by g (x) = x + 2. Then (g 0 f) 3/2 is
A
1
B
0
C
7/2
D
None of these
View Answer
10
If f: R → R such that f(x) = 3x – 4 then which of the following is f-1 (x)?
A
1/3 (x + 4)
B
1/3 (x – 4)
C
3x – 4
D
undefined
View Answer
11
If f(x) is an odd differentiable function on R, then df(x)/dx is
A
an even function
B
an odd function
C
neither even nor odd function
D
none of these
View Answer
12
Let A = {1,2,3} . Which of the following relations is a function from A to A ?
A
{(1,1),(2,1),(3,2)}
B
{(1,1),(1,2)}
C
{(2,3),(3,1)}
D
{(1,1),(2,2),(3,3),(1,3),(3,1)}.
View Answer
Answer:{(1,1),(2,1),(3,2)}
13
Let A = {a,b,c} and R = {(a,a),(b,b),(c,c),(b,c),(a,b)} be a relation on A, then R is
A
symmetric
B
transitive
C
reflexive
D
none of these
View Answer
14
Let ƒ : N → N be defined by the rule f (x) = 2x + 1 for all x ∈ N, then f is
A
one - one
B
onto
C
both one-one and onto
D
none of these .
View Answer
15
Let A = {1,2,3} and B = {2,3,4}, then which of the following is a funtion from A to B ?
A
{(1,2),(1,3),(2,3)(3,3)}
B
{(1,3),(2,4)}
C
{(1,3),(2,3),(3,3)}
D
{(1,2),(2,3),(3,4),(3,2)}
View Answer
Answer:{(1,3),(2,3),(3,3)}
16
Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is
A
0
B
1
C
2
D
More than 2
View Answer
17
let A = {1,2,3} . Which of the following functions on A is invertible ?
A
f = {(1,1),(2,1),(3,1)}
B
f = {(1,2),(2,3),(3,1)}
C
f = {(1,1),(2,3),(3,2)}
D
f = {(1,1),(2,2),(3,1)}
View Answer
Answer:f = {(1,2),(2,3),(3,1)}
18
Let f (x) = x2 and g (x) = √x , then
A
(gof) (x) = |x| for all x ∈ R
B
(fog) (x) = x2 for all x ∈ R
C
(fog) (x) = (gof) (x) for all x ∈ R
D
none of these
View Answer
Answer:(gof) (x) = |x| for all x ∈ R
19
If log12 27 = a then the value of log6 16 is
A
(3 - a)/{(3 + a)
B
2*(3 - a)/{(3 + a)
C
3*(3 - a)/{(3 + a)
D
4*(3 - a)/{(3 + a)
View Answer
Answer:4*(3 - a)/{(3 + a)
20
The range of the function f(x) = |x - 3| is
A
R
B
(0, ∞)
C
(-∞, 0)
D
None of these
View Answer
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