# NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.3) Exercise 1.3

## NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.3) Exercise 1.3

Vedantu’s expert tutors have prepared NCERT Solution for Class 11 Maths Chapter 1 Exercise 1.3 according to the CBSE Board guidelines. Exercise 1.3 Class 11 Maths Solutions Chapter 1 is all-inclusive, precise, and a hundred percent accurate. The solutions to all questions given in the textbook pertaining to different topics are presented here in an easy manner. Free PDF for Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.3 can be downloaded on the Vedantu App to enhance your exam preparations.

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## Access NCERT solutions for Math Chapter 1 – Sets Exercise 1.3

### Exercise (1.3)

1. Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces.

i. $\left\{ 2,3,4 \right\}...\left\{ 1,2,3,4,5 \right\}$

Ans:

Given that,

{2,3,4}...(1,2,3,4,5}
To fill in the correct symbols $\subset$ or $\not\subset$ inn the blank spaces

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

$A\subset B$ if $a\in A,a\in B$

The element in the set $\left\{ 2,3,4 \right\}$ is also in the set $\left\{ 1,2,3,4,5 \right\}$

$\therefore \left\{ 2,3,4 \right\}\subset \left\{ 1,2,3,4,5 \right\}$

ii. $\left\{ a,b,c \right\}...\left\{ b,c,d \right\}$

Ans:

Given that,

$\left\{ a,b,c \right\}...\left\{ b,c,d \right\}$
To fill in the correct symbols $\subset$ or $\not\subset$ inn the blank spaces

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

$A\subset B$ if $a\in A,a\in B$

The element in the set $\left\{ a,b,c \right\}$ is not in the set $\left\{ b,c,d \right\}$

$\therefore \left\{ a,b,c \right\}\not\subset \left\{ b,c,d \right\}$

iii. $\left\{ x:x\text{ is a student of class XI of your school} \right\}...$

$\left\{ x:x\text{ is a student of your school} \right\}$

Ans:

Given that,

$\left\{ x:x\text{ is a student of class XI of your school} \right\}...$

$\left\{ x:x\text{ is a student of your school} \right\}$
To fill in the correct symbols $\subset$ or $\not\subset$ inn the blank spaces

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

$A\subset B$ if $a\in A,a\in B$

The set of students of class XI would also be inside the set of students in school

$\backepsilon \left\{ x:x\text{ is a student of class XI of your school} \right\}\subset $$\left\{ x:x\text{ is a student of your school} \right\} iv. \left\{ x:x\text{ is a circle in the plane } \right\}... \left\{ x:x\text{ is a circle in the same plane with radius 1 unit} \right\} Ans: Given that, \left\{ x:x\text{ is a circle in the plane } \right\}... \left\{ x:x\text{ is a circle in the same plane with radius 1 unit} \right\} To fill in the correct symbols \subset or \not\subset inn the blank spaces A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The set of circles in the plane with a unit radius will be in the set of the circles in the same plane. So the set of circles in the plane is not in the set of circles with unit radius in the same plane. \therefore \left\{ x:x\text{ is a circle in the plane } \right\}\not\subset$$\left\{ x:x\text{ is a circle in the same plane with radius 1 unit} \right\}$

v. $\left\{ x:x\text{ is a triangle in the plane} \right\}...$

$\left\{ x:x\text{ is a rectangle in the plane} \right\}$

Ans:

Given that,

$\left\{ x:x\text{ is a triangle in the plane} \right\}...$

$\left\{ x:x\text{ is a rectangle in the plane} \right\}$

To fill in the correct symbols $\subset$ or $\not\subset$ inn the blank spaces

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

$A\subset B$ if $a\in A,a\in B$

From the given expression itself, we know that the set of triangles in the plane are not in the set of rectangles in the plane.

$\therefore \left\{ x:x\text{ is a triangle in the plane} \right\}\not\subset $$\left\{ x:x\text{ is a rectangle in the plane} \right\} vi. \left\{ x:x\text{ is an equilateral triangle in the plane} \right\}... \left\{ x:x\text{ is a triangle in the plane} \right\} Ans: Given that, \left\{ x:x\text{ is an equilateral triangle in the plane} \right\}...$$\left\{ x:x\text{ is a triangle in the plane} \right\}$

To fill in the correct symbols $\subset$ or $\not\subset$ inn the blank spaces

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

$A\subset B$ if $a\in A,a\in B$

From the above expression, we know that the set of equilateral triangles in the plane is in the set of triangles in the same plane

$\therefore \left\{ x:x\text{ is an equilateral triangle in the plane} \right\}\subset $$\left\{ x:x\text{ is a triangle in the plane} \right\} vii. \left\{ x:x\text{ is an even natural number} \right\}...\left\{ x:x\text{ is an integer} \right\} Ans: Given that, \left\{ x:x\text{ is an even natural number} \right\}...\left\{ x:x\text{ is an integer} \right\} To fill in the correct symbols \subset or \not\subset inn the blank spaces A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The set of even natural numbers are in the set of integers. \therefore \left\{ x:x\text{ is an even natural number} \right\}\subset \left\{ x:x\text{ is an integer} \right\} 2. Examine whether the following statements are true or false i. \left\{ a,b \right\}\not\subset \left\{ b,c,a \right\} Ans: Given that, \left\{ a,b \right\}\not\subset \left\{ b,c,a \right\} To examine whether the above statement is true or false A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The element in the set \left\{ a,b \right\} is also in the set \left\{ b,c,a \right\} \therefore \left\{ a,b \right\}\subset \left\{ b,c,a \right\} \therefore The given statement is false ii. \left\{ a,e \right\}\subset \left\{ x:x\text{ is an vowel in English alpahbet} \right\} Ans: Given that, \left\{ a,e \right\}\subset \left\{ x:x\text{ is an vowel in English alpahbet} \right\} To examine whether the above statement is true or false A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The element in the set \left\{ a,e \right\} is also in the set \left\{ a,e,i,o,u \right\} \therefore \left\{ a,e \right\}\subset \left\{ x:x\text{ is an vowel in English alpahbet} \right\} \therefore The given statement is true. iii. \left\{ 1,2,3 \right\}\subset \left\{ 1,3,5 \right\} Ans: Given that, \left\{ 1,2,3 \right\}\subset \left\{ 1,3,5 \right\} To examine whether the above statement is true or false A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The element in the set \left\{ 1,2,3 \right\} is not in the set \left\{ 1,3,5 \right\} since 2\in \left\{ 1,2,3 \right\} and 2\notin \left\{ 1,3,5 \right\} \left\{ 1,2,3 \right\}\not\subset \left\{ 1,3,5 \right\} \therefore The given statement is false. iv. \left\{ a \right\}\subset \left\{ a,b,c \right\} Ans: Given that, \left\{ a \right\}\subset \left\{ a,b,c \right\} To examine whether the above statement is true or false A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The element in the set \left\{ a \right\} is also in the set \left\{ a,b,c \right\} \therefore \left\{ a \right\}\subset \left\{ a,b,c \right\} \therefore The given statement is true. v. \left\{ a \right\}\in \left\{ a,b,c \right\} Ans: Given that, \left\{ a \right\}\in \left\{ a,b,c \right\} To examine whether the above statement is true or false A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B The element in the set \left\{ a \right\} and the elements in the set \left\{ a,b,c \right\} are a,b,c \therefore \left\{ a \right\}\subset \left\{ a,b,c \right\} \therefore The given statement is false. vi. \left\{ x:x\text{ is an even natural less than 6} \right\}\subset$$\left\{ x:x\text{ is a natural number which divide 36} \right\}$

Ans:

Given that,

$\left\{ x:x\text{ is an even natural less than 6} \right\}\subset $$\left\{ x:x\text{ is a natural number which divide 36} \right\}To examine whether the above statement is true or false A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B \left\{ x:x\text{ is an even natural less than 6} \right\}=\left\{ 2,4 \right\} \left\{ x:x\text{ is a natural number which divide 36} \right\}=\left\{ 1,2,3,4,6,9,12,18,36 \right\}$$\therefore \left\{ x:x\text{ is an even natural less than 6} \right\}\subset $$\left\{ x:x\text{ is a natural number which divide 36} \right\} \therefore The given statement is true. 3. Let A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\}. Which of the following statements are incorrect and why? i. \left\{ 3,4 \right\}\subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ 3,4 \right\}\subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, 3\in \left\{ 3,4 \right\}, however 3\notin A \therefore The given statement \left\{ 3,4 \right\}\subset A is incorrect ii. \left\{ 3,4 \right\}\in A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ 3,4 \right\}\in A is correct or incorrect. From the above statement, \left\{ 3,4 \right\} is an element of A. \therefore \left\{ 3,4 \right\}\in A \therefore The given statement is correct. iii. \left\{ \left\{ 3,4 \right\} \right\}\subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ \left\{ 3,4 \right\} \right\}\subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, \left\{ 3,4 \right\}\in \left\{ \left\{ 3,4 \right\} \right\} so that \left\{ \left\{ 3,4 \right\} \right\}\in A \therefore \left\{ \left\{ 3,4 \right\} \right\}\subset A \therefore The given statement \left\{ \left\{ 3,4 \right\} \right\}\subset A is correct. iv. 1\in A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if 1\in A is correct or incorrect. From the above statement, 1 is an element of A. \therefore The statement 1\in A is a correct statement. v. 1\subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if 1\subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, An element of a set can never be a subset of itself. So 1\not\subset A \therefore The given statement 1\subset A is an incorrect statement. vi. \left\{ 1,2,5 \right\}\subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ 1,2,5 \right\}\subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, The each element of \left\{ 1,2,5 \right\} is also an element of A, So \left\{ 1,2,5 \right\}\subset A \therefore The given statement \left\{ 1,2,5 \right\}\subset A is a correct statement vii. \left\{ 1,2,5 \right\}\in A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ 1,2,5 \right\}\subset A is correct or incorrect. From the above statement, Element of \left\{ 1,2,5 \right\} is not an element of A, So \left\{ 1,2,5 \right\}\notin A So the given statement \left\{ 1,2,5 \right\}\in A is an incorrect statement. viii. \left\{ 1,2,3 \right\}\subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ 1,2,3 \right\}\subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, we notice that, 3\in \left\{ 1,2,3 \right\}but 3\notin A \left\{ 1,2,3 \right\}\not\subset A \therefore The given statement \left\{ 1,2,3 \right\}\subset A is an incorrect statement. ix. \varnothing \in A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \varnothing \in A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, \varnothing is not an element of A. So, \varnothing \notin A \therefore The given statement \varnothing \in A is an incorrect statement. x. \varnothing \subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \varnothing \subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, Since \varnothing is a subset of every set, \varnothing \subset A \therefore The given statement \varnothing \subset A is a correct statement. xii. \left\{ \varnothing \right\}\subset A Ans: Given that, A=\left\{ 1,2,\left\{ 3,4 \right\},5 \right\} To find if \left\{ \varnothing \right\}\subset A is correct or incorrect. A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B From the above statement, \varnothing is an element of A and it is not a subset of A. \therefore The given statement \left\{ \varnothing \right\}\subset A is an incorrect statement. 4. Write down all the subsets of the following sets: i. \left\{ a \right\} Ans: Given that, \left\{ a \right\} To write the subset of the given sets A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B Subsets of \left\{ a \right\} are \varnothing and \left\{ a \right\} ii. \left\{ a,b \right\} Ans: Given that, \left\{ a,b \right\} To write the subset of the given sets A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B Subsets of \left\{ a,b \right\} are \varnothing and \left\{ a \right\},\left\{ b \right\},\left\{ a,b \right\} iii. \left\{ 1,2,3 \right\} Ans: Given that, \left\{ 1,2,3 \right\} To write the subset of the given sets A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B Subsets of \left\{ 1,2,3 \right\} are \varnothing ,\left\{ 1 \right\},\left\{ 2 \right\},\left\{ 3 \right\},\left\{ 1,2 \right\},\left\{ 2,3 \right\},\left\{ 1,3 \right\},\left\{ 1,2,3 \right\} iv. \varnothing Ans: Given that, \varnothing To write the subset of the given sets A set A is said to be a subset of B if every element of A is also an element of B A\subset B if a\in A,a\in B Subsets of \varnothing is \varnothing . 5. How many elements has P\left( A \right), if A=\varnothing ? Ans: Given that, A=\varnothing To find the number of elements does the P\left( A \right) contain The collection of all subsets of a set A is called a power set of A and is denoted by P\left( A \right). We know that if A is a set with melements, that is, n\left( A \right)=m, then n\left[ p\left( A \right) \right]={{2}^{m}} If A=\varnothing then n\left( A \right)=0 n\left[ P\left( A \right) \right]={{2}^{0}} =1 \therefore P\left( A \right) has only one element. 6. Write the following as intervals i. \left\{ x:x\in R,-4<x\le 6 \right\} Ans: Given that, \left\{ x:x\in R,-4<x\le 6 \right\} To write the above expression as intervals The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore \left\{ x:x\in R,-4<x\le 6 \right\}=(-4,6] ii. \left\{ x:x\in R,-12<x<-10 \right\} Ans: Given that, \left\{ x:x\in R,-12<x<-10 \right\} To write the above expression as intervals The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore \left\{ x:x\in R,-12<x<-10 \right\}=\left( -12,-10 \right) iii. \left\{ x:x\in R,0\le x<7 \right\} Ans: Given that, \left\{ x:x\in R,0\le x<7 \right\} To write the above expression as intervals The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \because \left\{ x:x\in R,0\le x<7 \right\}=[0,7) iv. \left\{ x:x\in R,3\le x\le 4 \right\} Ans: Given that, \left\{ x:x\in R,3\le x\le 4 \right\} To write the above expression as intervals The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore \left\{ x:x\in R,3\le x\le 4 \right\}=\left[ 3,4 \right] 7. Write the following intervals in set builder form. i. \left( -3,0 \right) Ans: Given that, \left( -3,0 \right) To write the above interval in set builder form The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore \left( -3,0 \right)=\left\{ x:x\in R,-3<x<0 \right\} ii. \left[ 6,12 \right] Ans: Given that, \left[ 6,12 \right] To write the above interval in set builder form The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore \left[ 6,12 \right]=\left\{ x:x\in R,6\le x\le 12 \right\} iii. (6,12] Ans: Given that, (6,12] To write the above interval in set builder form The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore (6,12]=\left\{ x:x\in R,6<x\le 12 \right\} iv. [-23,5) Ans: Given that, [-23,5) To write the above interval in set builder form The set of real numbers \left\{ y:a<y<b \right\} is called an open interval and is denoted by \left( a,b \right). The interval which contains the end points also is called close interval and is denoted by\left[ a,b \right] \therefore [-23,5)=\left\{ x:x\in R,-23\le x<5 \right\} 8. What universal set(s) would you propose for each of the following: i. The set of right triangles Ans: To propose the universal set for the set of right triangles For the set of right triangles, the universal set can be the set of all kinds of triangles or the set of polygons. ii. The set of isosceles triangles Ans: To propose the universal set for the set of right triangles For the set of isosceles triangles, the universal set can be the set of all kinds of triangles or the set of polygons or the set of two dimensional figures. 9. Given the sets A=\left\{ 1,3,5 \right\},B=\left\{ 2,4,6 \right\} and C=\left\{ 0,2,4,6,8 \right\}, which of the following may be considered as universal set(s) for all the three sets A, B and C? i. \left\{ 0,1,2,3,4,5,6 \right\} Ans: Given that, A=\left\{ 1,3,5 \right\},B=\left\{ 2,4,6 \right\},C=\left\{ 0,2,4,6,8 \right\} To find if the given set \left\{ 0,1,2,3,4,5,6 \right\} is the universal set of A, B and C It can be observed that, A\subset$$\left\{ 0,1,2,3,4,5,6 \right\}$

$B\subset $$\left\{ 0,1,2,3,4,5,6 \right\} C\not\subset$$\left\{ 0,1,2,3,4,5,6 \right\}$

$\therefore$The set $\left\{ 0,1,2,3,4,5,6 \right\}$ cannot be the universal set for the sets A, B and C

ii. $\varnothing$

Ans:

Given that,

$A=\left\{ 1,3,5 \right\},B=\left\{ 2,4,6 \right\},C=\left\{ 0,2,4,6,8 \right\}$

To find if the given set $\varnothing$ is the universal set of A, B and C

It can be observed that,

$A\not\subset \varnothing$

$B\not\subset \varnothing$

$C\not\subset \varnothing$

$\therefore$The set $\varnothing$ cannot be an universal set for A, B and C.

iii. $\left\{ 0,1,2,3,4,5,6,7,8,9,10 \right\}$

Ans:

Given that,

$A=\left\{ 1,3,5 \right\},B=\left\{ 2,4,6 \right\},C=\left\{ 0,2,4,6,8 \right\}$

To find if the given set $\left\{ 0,1,2,3,4,5,6,7,8,9,10 \right\}$ is the universal set of A, B and C

It can be observe that,

$A\subset $$\left\{ 0,1,2,3,4,5,6,7,8,9,10 \right\} B\subset$$\left\{ 0,1,2,3,4,5,6,7,8,9,10 \right\}$

$C\subset $$\left\{ 0,1,2,3,4,5,6,7,8,9,10 \right\} \therefore The set \left\{ 0,1,2,3,4,5,6,7,8,9,10 \right\} is the universal set of A, B and C iv. \left\{ 1,2,3,4,5,6,7,8 \right\} Ans: Given that, A=\left\{ 1,3,5 \right\},B=\left\{ 2,4,6 \right\},C=\left\{ 0,2,4,6,8 \right\} To find if the given set \left\{ 0,1,2,3,4,5,6 \right\} is the universal set of A, B and C It can be observed that, A\subset$$\left\{ 1,2,3,4,5,6,7,8 \right\}$

$B\subset $$\left\{ 1,2,3,4,5,6,7,8 \right\} C\not\subset$$\left\{ 1,2,3,4,5,6,7,8 \right\}$

$\therefore$The set $\left\{ 1,2,3,4,5,6,7,8 \right\}$ is not the universal set of A, B and C

### NCERT Solution Class 11 Maths of Chapter 1 All Exercises

 Chapter 1 - Sets Exercises in PDF Format Exercise 1.1 6 Questions & Solutions Exercise 1.2 6 Questions & Solutions Exercise 1.3 9 Questions & Solutions Exercise 1.4 12 Questions & Solutions Exercise 1.5 7 Questions & Solutions Exercise 1.6 8 Questions & Solutions Miscellaneous Exercise 15 Questions & Solutions

### NCERT Solutions For Class 11 Math Chapter 1 Sets Exercise 1.3 PDF Download

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### Topics Covered in Exercise 1.3 of Class 11 NCERT Math

Exercise 1.3 of Class 11 Math NCERT is based on three topics which are given below:

• The Subset of Real Number

• The Power Set

• The Universal Set

### NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.3) Exercise 1.3

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• Exercise 1.3 Class 11 Maths comprehensive solutions are 100 per cent accurate. They help you pass your exams with flying colours.

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FAQs (Frequently Asked Questions)

1. On which platform can I find NCERT Solutions for Class 11 Maths Chapter 1 Sets EX 1.3?

Ans: Students can find exercise-wise NCERT Solutions for Class 11 Maths Chapter 1 Sets on Vedantu. Vedantu is a reliable platform to avail NCERT Solutions. NCERT Solutions for Class 11 Maths Chapter 1 Sets Exercise 1.3 is available in a free to download PDF format. Students can avail these solutions provided by expert tutors at Vedantu. In case of any doubts in solving the exercise or other exercises of the chapter Sets, students can refer to Vedantu’s site for the needed solutions.

2. Why must One Consider Vedantu’s NCERT Solutions for Class 11 Maths Chapter 1 Sets for Ex 1.3 and Other Exercises?

Ans: The exercise-wise NCERT Solutions for Class 11 Maths Chapter 1 Sets by Vedantu are the most comprehensive and well-designed exam material. It can be easily accessed over the internet without any paid subscription. The solutions are available in the downloadable PDF so that students can study offline as well. NCERT Solutions for Class 11 Mathematics Chapter 1 Sets include step-by-step explanations by the expert and experienced tutors. It helps students in practising the chapter in a better manner.

3. Define Sets and Give Examples.

Ans:  A set is a well-defined group or collection of objects or numbers. Each object or number which is a part of a set is called the elements or members of a set. Examples include a set of rational numbers, a set of types of fruits, a set of English alphabets, etc.

4. What is the difference between the Finite and Infinite Set?

Ans: Given below is the difference between the finite and infinite set:

Finite Set:

A set consisting of a finite or countable number of elements is called a Finite Set.

Examples:

1. A set of all English alphabets.

2. Q = { a : a is an integer, 1 < a < 20}

Infinite Set:

A set consisting of an infinite number of elements is called an Infinite Set.

Examples:

1. A set of all points on a line

2. The set of all integers

5. What is the best Solution book for NCERT Class 11 Maths?

Ans: Students can access the NCERT Solutions for free on the Vedantu website (vedantu.com) or app. Download a PDF version of the NCERT Class 11 Maths Solutions from the page NCERT Solutions for Class 11 Maths. Students can also access other study material like revision notes, important questions, and formulas related to this chapter from the app or website (vedantu.com) free of cost. To ace your tests, you must put in a lot of practice.

6. How many chapters are there in NCERT Class 11 Maths?

Ans: The NCERT Class 11 Maths textbook has 16 chapters as well as some random problems for each topic. Each chapter must be given equal weight to have a comprehensive grasp of all of the topics provided for Class 11 students and perform well in your examinations. If you try to skip a chapter, your understanding will suffer. You may simply get extra help by visiting the link NCERT Solutions for Class 11 Maths on Vedantu website(vednatu.com) or app.

7. What are the challenging chapters in Class 11 Maths?

Ans: Even though each chapter has questions and relevance for an overall grasp of ideas across multiple areas of Maths, students often struggle while studying trigonometry, binomial theorem, and limits and derivatives. Prepare well for these chapters by practising NCERT questions, as well as all of the previous chapters. Difficulty levels also differ from one pupil to the next. Solve multiple problems, and you can check the solutions of NCERT problems from the link NCERT Solutions for Class 11 Maths of Vedantu website (vedantu.com).

8. What are sets in Class 11 Maths?

Ans: A set is any collection of objects (elements) that may or may not be Mathematical in Mathematics and logic (e.g., numbers, functions). For example, the set of integers from 1 to 50 is finite, but the set of all integers is infinite. A set is typically expressed as a list of all its members wrapped in braces. Practice different problems as well for a better understanding.

9. Why study Sets in Class 11 Maths?

Ans: Sets are used to store a collection of linked items. They are significant in all fields of Mathematics because sets are used or referred to in some manner in every discipline of Mathematics. They are necessary for the construction of increasingly sophisticated Mathematical structures. Moreover, it is very crucial to learn the fundamentals properly before advancing to more complex topics.

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