This is an MCQ-based quiz on **Relations and Functions.**

This includes Types of Relations, Types of Functions, Composition of Functions, Invertible Function, and Binary Operations

What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}

If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is

Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals

Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is

If f(x1) = f (x2) ⇒ x1 = x2 ∀ x1 x2 ∈ A then the function f: A → B is

One-One

One-One Onto

Onto

Many One

Let A = (1, 2, 3). Then the number of equivalence relations containing (1, 2) is

Let f: R → R be defined as f(x) = x4. Then

Let f : R → R be defined as f(x) = 3x. Then

The period of sin² θ is

The domain of sin^-1 (log (x/3)] is. .

Many-one onto

Constant function

One-One Onto

Into

Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is

Onto function

One-One, Onto function

One-One, Into function

Many-One Into function

What type of relation is ‘less than’ in the set of real numbers?

Only symmetric

Only transitive

Only reflexive

Equivalence

Let R be the relation in the set N given by : R = {(a, b): a = b – 2 & b>6}. Then:

(2, 4) ∈ R

(3, 8) ∈ R

(6, 8) ∈ R

(8, 7) ∈ R.