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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)
The period of sin² θ is
[A]
π²
[B]
π
[C]
2π
[D]
π/2
(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: many-one into function
(3)
Let A = {1, 2}, how many binary operations can be defined on this set?
[A]
8
[B]
10
[C]
16
[D]
20
(4)
The range of the function f(x) =
is
[A]
[-2, 2]
[B]
[0, 1]
[C]
[1, 3]
[D]
None of these
(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
(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
(7)
If the function f(x) = x³ + ex/2 and g (x) = fn(x), then the value of g'(1) is
(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
(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
(10)
Let A = {1, 2,3,…. n} and B = { a, b}. Then the number of surjections from A into B is
[A]
nP2
[B]
2n – 2
[C]
2n – 1
[D]
None of these
(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
(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
(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
(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
(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: {(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, ∞)
(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
(18)
Which one of the following relations on R is an equivalence relation?
[A]
aR1b ⇔ |a| = |b|
[B]
aR2b ⇔ a ≥ b
[C]
aR3b ⇔ a divides b
[D]
aR4b ⇔ a < b
(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
(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
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