SETS CLASSS 11 MATHS, Study notes of Mathematics

Download SETS CLASSS 11 MATHS and more Study notes Mathematics in PDF only on Docsity! SETS *NOTATION *REPRESENTATION OF SET *roster form *SET BUILDER FORM *TYPES OF SETS 1.EMPTY OR NULL SET 6.SUBSET 2.SINGLETON SET 7.POWER SET 3.FINITE OR INFINITE SET 4.EQUAL SET 5.EQUIVALENT SET SET A SET IS A COLLECTION OF WELL DEFINED AND WELL DISTINGUISHED OBJECT OF OUR THOUGHT. ROSTER OR TABULAR FORM • IN THIS FORM , WE LIST ALL THE MEMBER OF THE SET WITHIN BRACES [CURLY BRACKETS] AND SEPRATE THESE BY COMMAS. FOR EXAMPLE , THE SET A OF ALL ODD NATURAL NUMBER LESS THAT 10 IN THE ROSTER FORM IS WRITTEN AS: • A=[1,3,5,7,9] •NOTE: IN ROSTER FORM EVERY ELEMENT OF THE SET IS LISTED ONLY ONCE SET BUILDER FORM • IN THIS FORM , WE WRITE A VARIABLE (SAY X) REPRESENTED NUMBER OF THE SET FOLLOWED BY A PROPERTY SATISFIED BY EACH MEMBER OF THE SET. • FOR EXAMPLE , THE SET A OF PRIME NUMBER LESS THAN 10 IN THE SET BUILDER FORM IS WRITTEN AS: • A=[X:X IS A PRIME NUMBER LESS THAN 10] TYPES OF SETS EMPTY SET A SET WHICH HAS NO ELEMENT IS CALLED THE NULL SET OR EMPTY SET. IT IS DENOTED BY THE SYMBOL OF (PHIE). SINGLETON SET A SET HAVING ONLY ONE ELEMENT IS CALLED SINGLETON SET. EQUAL SET TWO SETS A AND B ARE SAID TO BE EQUALS , WRITTEN AS A=B, IF EVERY ELEMENT OF A IS IN B AND EVERY ELEMENT OF B IS IN A. POWER SET THE SET OF ALL SUBSET OF A GIVEN SET A IS CALLED THE POWER SET OF A AND IS DENOTED BY p(A). EXAMPLE: A=[1,2,3] P(A)=[PHIE,[1],[2],[3],[1,2],[1,3],[2,3],] MADE BY: SHIVANG MISHRA CLASS: 11TH B SUBJECT: MATH CHAPTER: SETS