Let R be a relation on the set L of lines dened by l1 R l2 if l1 is perpendicular to l2 , then relation R is

Given set A ={1,2,3} and a relation R={(1,2),(2,1)}, the relation R will be

Given set A = {a, b, c). An identity relation in set A is

. A relation S in the set of real numbers is dened as xSy ⇒ x – y+ √3 is an irrational number, then relationS is

Set A has 3 elements and the set B has 4 elements. Then the number of injective functions that can bedefineed from set A to set B is

Given a function lf as f(x) = 5x + 4, x ∈ R. If g : R → R is inverse of function ‘f then

if no element of A is related to any element of A, i.e., R = φ ⊂ A × A.

if each element of A is related to every element of A, i.e., R = A × A.

A relation R in a set A is said to be an ______ relation if R is reflexive, symmetric and transitive.

A relation R in a set A is called _______, if (a, a) ∈ R, for every a ∈ A,

A relation R in a set A is called_________ , if (a1, a2) ∈ R implies that (a2, a1) ∈ R, for all a1, a2 ∈ A.

A relation R in a set A is called_________ , if (a1, a2) ∈ R and (a2, a3) ∈ R implies that (a1, a3)∈ R, for all a1, a2,a3 ∈ A.

A function f : X → Y is defined to be ______, if the images of distinct elements of X under f are distinct, i.e., for every x1, x2 ∈ X, f(x1) = f(x2)implies x1= x2.

A function f : X → Y is said to be ________, if every element of Y is the image of some element of X under f, i.e., for every y ∈ Y, there exists an element x in X such that f(x) = y

A function f : X → Y is said to be _________, if f is both one-one and onto.

Let f : R → R be defined as f(x) = x^4. Choose the correct answer

Let f : R → R be defined as f(x) = 3x. Choose the correct answer.