# NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1

NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1 (12 Maths Ex. 5.1) Continuity and Differentiability in Hindi Medium as well as English Medium for the students using NCERT Books for their studies. All the solutions are updated according to Latest CBSE Syllabus 2020-2021. UP Board Intermediate students are also using NCERT Textbooks for their exam preparation, so download UP Board Solutions for Class 12 Maths Chapter 5 Exercise 5.1 in Hindi and English Medium. Videos related to all questions are also given below. These solutions are applicable not only for CBSE Board, but Uttarakhand Board (who are using NCERT), Bihar Board and MP, UP Board also.

Ask your doubts through discussion forum and reply the questions asked by the other users. If you are facing any difficulty using Tiwari Academy website, please inform us. We will help you at our level best.Page Contents

- 1 Class 12 Maths Exercise 5.1 Solutions in Hindi & English
- 1.1 Condition for Continuity of a Function
- 1.1.1 Feedback and Suggestions
- 1.1.2 When a function is said to be continuous at a point?
- 1.1.3 Check the continuity of the function f given by f (x) = 2x + 3 at x = 1
- 1.1.4 When does a real function f is said to be continuous?
- 1.1.5 If two functions are continuous at a particular point, then what can you say about the sum and difference of functions?

- 1.1 Condition for Continuity of a Function

## NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1

Class: 12 | Maths (English and Hindi Medium) |

Chapter 5: | Exercise 5.1 |

### 12th Maths Exercise 5.1 Solutions

NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.1 Continuity and Differentiability in English medium free to download or use online updated for new academic session 2020-2021. In this chapter you will find the point of discontinuity of a function using left hand limit and right hand limits. UP Board students also can use these solutions as UP Board solutions for Class 12 Mathematics. Download NCERT Books and offline apps for offline use.

### Class 12 Maths Exercise 5.1 Solutions in Hindi & English

#### Class 12 Maths Exercise 5.1 Question 1, 2, 3 in Video

#### Class 12 Maths Exercise 5.1 Question 4, 5, 6 in Video

#### Class 12 Maths Exercise 5.1 Question 7, 8, 9 in Video

#### Class 12 Maths Exercise 5.1 Question 10, 11, 12 in Video

#### Class 12 Maths Exercise 5.1 Question 13, 14 in Video

#### Class 12 Maths Exercise 5.1 Question 15, 16 in Video

#### Class 12 Maths Exercise 5.1 Question 17, 18, 19 in Video

#### Class 12 Maths Exercise 5.1 Question 20, 21 in Video

#### Class 12 Maths Exercise 5.1 Question 22, 23 in Video

#### Class 12 Maths Exercise 5.1 Question 24, 25 in Video

#### Class 12 Maths Exercise 5.1 Question 26, 27 in Video

#### Class 12 Maths Exercise 5.1 Question 28, 29, 30 in Video

#### Class 12 Maths Exercise 5.1 Question 31, 32 in Video

#### Class 12 Maths Exercise 5.1 Question 33, 34 in Video

#### 12th Maths Exercise 5.1 Question 1, 2, 3 Video in Hindi

#### 12th Maths Exercise 5.1 Question 3, 4, 5 Video in Hindi

#### 12th Maths Exercise 5.1 Question 6, 7 Video in Hindi

#### 12th Maths Exercise 5.1 Question 8, 9, 10 Video in Hindi

#### 12th Maths Exercise 5.1 Question 11, 12 Video in Hindi

#### 12th Maths Exercise 5.1 Question 13, 14 Video in Hindi

#### 12th Maths Exercise 5.1 Question 15, 16 Video in Hindi

#### 12th Maths Exercise 5.1 Question 17, 18, 19, 20 Video in Hindi

#### 12th Maths Exercise 5.1 Question 21, 22 Video in Hindi

#### 12th Maths Exercise 5.1 Question 23, 24, 25 Video in Hindi

#### 12th Maths Exercise 5.1 Question 26, 27, 28, 29 Video in Hindi

#### 12th Maths Exercise 5.1 Question 30, 31, 32 Video in Hindi

#### 12th Maths Exercise 5.1 Question 33, 34 Video in Hindi

#### Condition for Continuity of a Function

If the left hand limit (LHL), right hand limit (RHL) and the value of function at any point is same, the function is called a continuous function at that point. For the functions containing modulus function, it is better to redefine the function on the basis of the range of modulus and then check the continuity of the function. Polynomial function, sine, cosine functions are always continuous at all real values. If any function is already continuous, then we can find the unknown values (just like question number 26 to question 29), by using the relation LHL = RHL = f(x) at the point where the function is continuous.

##### Feedback and Suggestions

We have updated NCERT solutions for new academic session based on latest NCERT Books 2020-2021. If you have feedback regarding to NIOS Board or CBSE Board, please share through Discussion Forum. Your feedback and suggestions are important to us.

Download NCERT Books and Offline Apps 2020-21 based on new CBSE Syllabus. Ask your doubts related to NIOS or CBSE Board and share your knowledge with your friends and other users through Discussion Forum.

##### When a function is said to be continuous at a point?

A function is continuous at x = c if the function is defined at x = c and if the value of the function at x = c equals the limit of the function at x = c.

##### Check the continuity of the function f given by f (x) = 2x + 3 at x = 1

The LHL and RHL for the function at x = 1 are equal, therefore the function is continuous at x = 1.

##### When does a real function f is said to be continuous?

A real function f is said to be continuous if it is continuous at every point in the domain of f.

##### If two functions are continuous at a particular point, then what can you say about the sum and difference of functions?

Suppose f and g be two real functions continuous at a real number c. Then f + g is continuous at x = c and f – g also is continuous at x = c.