Скачать или смотреть Q3) Ex-1.3 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg

Q3) Ex-1.3 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg

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Subsets:
set A is said to be a subset of a set B if every element of A is also an
element of B.

Power Set:
Definition 5 The collection of all subsets of a set A is called the power set of A. It is denoted by P(A). In P(A), every element is a set.

Universal Set
Usually, in a particular context, we have to deal with the elements and subsets of a basic set which is relevant to that particular context. For example, while studying the system of numbers, we are interested in the set of natural numbers and its subsets such as the set of all prime numbers, the set of all even numbers, and so forth. This basic set is called the “Universal Set”. The universal set is usually denoted by U, and all its subsets by the letters A, B, C, etc.


EXERCISE 1.3
1. Make correct statements by filling in the symbols in the blank spaces :
(i) { 2, 3, 4 } . . . { 1, 2, 3, 4,5 } (ii) { a, b, c } . . . { b, c, d }
(iii) {x : x is a student of Class XI of your school}. . .{x : x student of your school}
(iv) {x : x is a circle in the plane} . . .{x : x is a circle in the same plane with
radius 1 unit}
(v) {x : x is a triangle in a plane} . . . {x : x is a rectangle in the plane}
(vi) {x : x is an equilateral triangle in a plane} . . . {x : x is a triangle in the same plane}
(vii) {x : x is an even natural number} . . . {x : x is an integer}
which divides 36}
3. Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?
4. Write down all the subsets of the following sets
(i) {a} (ii) {a, b} (iii) {1, 2, 3}
6. Write the following as intervals :
7. Write the following intervals in set-builder form :
(i) (– 3, 0) (ii) [6 , 12] (iii) (6, 12] (iv) [–23, 5)
8. What universal set(s) would you propose for each of the following :
(i) The set of right triangles. (ii) The set of isosceles triangles.
9. Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the
following may be considered as universal set (s) for all the three sets A, B and C
(i) {0, 1, 2, 3, 4, 5, 6}
(iii) {0,1,2,3,4,5,6,7,8,9,10}
(iv) {1,2,3,4,5,6,7,8}

Summary :-
This chapter deals with some basic definitions and operations involving sets. These are summarised below:
A set is a well-defined collection of objects.
A set that does not contain any element is called an empty set.
A set that consists of a definite number of elements is called a finite set,
otherwise, the set is called an infinite set.
Two sets A and B are said to be equal if they have exactly the same elements.
A set A is said to be a subset of a set B, if every element of A is also an element of B. Intervals are subsets of R.
A power set of a set A is a collection of all subsets of A. It is denoted by P(A).
The union of two sets A and B is the set of all those elements which are either in A or in B.
The intersection of two sets A and B is the set of all elements which are
common. The difference between the two sets A and B in this order is the set of elements that belong to A but not to B.


Exercise Questions Links:

Exercise 1.2:-
Q1) Ex-1.2 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q1) Ex-1.2 Class11th Chapter 1st Sets Math...  
Q2) Ex-1.2 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q2) Ex-1.2 Class11th Chapter 1st Sets Math...  
Q3) Ex-1.2 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q3) Ex-1.2 Class11th Chapter 1st Sets Math...  
Q4) Ex-1.2 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q4) Ex-1.2 Class11th Chapter 1st Sets Math...  
Q5) Ex-1.2 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q5) Ex-1.2 Class11th Chapter 1st Sets Math...  


Exercise 1.3:
Q1) Ex-1.3 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q1) Ex-1.3 Class11th Chapter 1st Sets Math...  
Q2) Ex-1.3 Class11th Chapter 1st Sets Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q2) Ex-1.3 Class11th Chapter 1st Sets Math...  
Q3) Ex-1.3 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg    • Q3) Ex-1.3 SETS- Class11th Chapter 1st Mat...