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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>
2
Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is
A
onto function
B
one-one, onto function
C
one-one, into function
D
many-one into function
Answer & Explanation
Answer:many-one into function
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4
The range of the function f(x) =
is
A
[-2, 2]
B
[0, 1]
C
[1, 3]
D
None of these
Answer & Explanation
5
A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is-
A
reflexive
B
symmetric and transitive
C
equivalence
D
None of these
Answer & Explanation
6
If A = (1, 2, 3}, B = {6, 7, 8} is a function such that f(x) = x + 5 then what type of a function is f?
A
Many-one onto
B
Constant function
C
one-one onto
D
into
Answer & Explanation
7
If the function f(x) = x³ + ex/2 and g (x) = fn(x), then the value of g'(1) is
Answer & Explanation
8
If A = [1, 2, 3}, B = {5, 6, 7} and f: A → B is a function such that f(x) = x + 4 then what type of function is f?
A
into
B
one-one onto
C
many-onto
D
constant function
Answer & Explanation
9
If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is
A
reflexive
B
transitive
C
symmetric
D
None of these
Answer & Explanation
10
Let A = {1, 2,3,…. n} and B = { a, b}. Then the number of surjections from A into B is
A
n P2
B
2n – 2
C
2n – 1
D
None of these
Answer & Explanation
11
Let f: R → R be the function defined by f(x) = x³ + 5. Then f-1 (x) is
A
(x + 5)1/3
B
(x -5)1/3
C
(5 – x)1/3
D
5 – x
Answer & Explanation
12
Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals
A
31
B
40
C
43
D
None of these
Answer & Explanation
13
If f(x1 ) = f (x2 ) ⇒ x1 = x2 ∀ x1 x2 ∈ A then the function f: A → B is
A
many one
B
one-one onto
C
onto
D
one-one
Answer & Explanation
14
What type of relation is ‘less than’ in the set of real numbers?
A
only symmetric
B
only transitive
C
only reflexive
D
equivalence
Answer & Explanation
15
A = {1, 2, 3} which of the following function f: A → A does not have an inverse function
A
{(1, 1), (2, 2), (3, 3)}
B
{(1, 2), (2, 1), (3, 1)}
C
{(1, 3), (3, 2), (2, 1)}
D
{(1, 2), (2, 3), (3, 1)
Answer & Explanation
Answer:{(1, 2), (2, 1), (3, 1)}
16
Let f: |2, ∞) → R be the function defined by f(x) – x² – 4x + 5, then the range of f is
A
R
B
[1, ∞)
C
[4, ∞)
D
[5, ∞)
Answer & Explanation
17
Let f: A → B and g : B → C be the bijective functions. Then (g o f)-1 is,
A
f-1 o g-1
B
f o g
C
g-1 o f-1
D
g o f
Answer & Explanation
18
Which one of the following relations on R is an equivalence relation?
A
aR1 b ⇔ |a| = |b|
B
aR2 b ⇔ a ≥ b
C
aR3 b ⇔ a divides b
D
aR4 b ⇔ a < b
Answer & Explanation
19
If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C. then
A
A = B
B
A = C
C
B = C
D
A ∩ B = d
Answer & Explanation
20
If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is
A
12
B
28
C
61
D
None of these
Answer & Explanation
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