RELATION AND FUNCTION - L3

L1-L3

Antisymmetric Relation|Equivalence Relation|Exercise Question|Partial Order Relation|Exercise Question|OMR|Function|Graphical Representation|Domain, Co-Domain Of Function|Rules For The Domain Of A Function|Range|OMR

Relation And Functions

Let A be the set of all lines in xy-plane and let R be relation in A , defind by R={(L_(1),L_(2)):L_(1)||L_(2)}. show that R is an equivalence relation in A. Find the set of all lines related to the line Y=3x+5.

Consider the following statements in respect of relations and functions: 1. All relations are functions but all functions are not relations. 2. A relation from A to B is a subset of Cartesian product A x B. 3. A relation in A is a subset of Cartesian product A x A. Which of the above statements are correct?

Let L be the set of all lines in XY= plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) is parallel to L_(-)2} Show that R is an equivalence relation.Find the set of all lines related to the line y=2x+4.

Let L be the set of all lines in XY -plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) is parallel to L_(2)}. Show that R is an equivalence relation.Find the set of all lines related to the line y=2x+4

Let L be the set of all lines in the plane and R be the relation in L, defined as : R = { (l_(i),l_(j))=l_(i) is parallel to l_(j),AA i,j }. Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5 .

Let A = {1, 2, 3}. Which of the following relations is a function from A to A ?

Which of the following relation is NOT a function ?