What are relations?. Types of Relations Class XII - maths chapter 1
What are relations? Before explaining what the meaning of relations is, we’ll recall the meaning of cartesian product. So if we have two sets A = { a, b, c} B = { x, y} Then randomly we can associate each element of A with each element of B So, Cartesian product is A X B = { (a, x). (a, y), ( b, x ) ( b, y), (c, x) , (c, y)} Now if we set a rule on the basis of which we associate each element of set A with element(s) of set B then that ordered pair will be called relation. Same thing we do in real life. e.g.1 if a man gets married to a woman then that man will be called the husband of the woman. So , a man will be related to a woman with the relation of “ is a husband” if and only if he has married that woman. Mr. Alex is husband of Mrs. Sophia since he married her e.g.2 “Alphabets” of set A are related to “word(s)” of set B if the word starts with the letter selected from se...
