# NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3

NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3 AOD – Application of Derivatives (Tangent and Normal) in Hindi Medium as well as English Medium for all students updated for session 2021-22 based on latest NCERT Books for new session.

These solutions are useful for those students who are using Hindi Medium or English Medium NCERT textbook Solutions. Download CBSE Solutions Apps updated as per the latest CBSE Curriculum 2021-2022 for CBSE and UP Board. Video Solutions in Hindi and English Medium for Exercise 6.3 of 12th Maths are also given below.## NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3

### 12th Maths Exercise 6.3 Solutions in Hindi & English

Class: 12 | Mathematics |

Chapter 6: | Exercise 6.3 |

### 12th Maths Exercise 6.3 Solutions

NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3 AOD – Application of Derivatives in Hindi and English Medium free to download or view online for academic session 2021-2022. Exercise 6.3 includes the questions of tangent and normal based on the concepts of slope of line. NCERT Books 2021-2022 based on latest CBSE Syllabus are free to download in PDF file format.

#### Class 12 Maths Chapter 6 Exercise 6.3 Solutions in Videos

#### About 12 Maths Exercise 6.3

In Exercise 6.3, the questions area based on tangent and normal. This exercise also requires the basic knowledge of Straight Lines in coordinate geometry. Most of the questions are on the basis of the comparison of slope of tangent of curve and given straight line. Question number 9, 17, 18 and 23 are tricky as well as important as examination point of view. In Question no. 9, there will be two answers obtained by solving, the correct answer is that which satisfy the equation of line.

In Question no. 23, in order to get the intersection points, we have to solve the two curves and then find the slope of the tangents of two curves at the point of intersection. If the product of slopes is -1, the two curves are perpendicular. Question no. 17 and 18 are based on similar pattern.

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##### How can students take good marks in exercise 6.3 (chapter 6) of grade 12th Maths?

Exercise 6.3 of class 12th Maths contains seven examples (examples 14, 15, 16, 17, 18, 19, 20) and 27 questions. All sums of this exercise are nice, logical, and interesting. Questions 5, 9, 11, 14, 15, 18, 23, 24, 26, and examples 16, 17, 20 of this exercise are most important from the exam point of view. So, to get good marks in exercise 6.3 of grade 12th Maths, students should honestly practice these questions and examples. These questions can come in 3 to 4 marks in the exams.

##### Which sums of exercise 6.3 of 12th Maths, students solve rapidly without any problem?

Students solve examples 14, 15, 18, 19, 20 and questions 1, 2, 3, 4, 5, 6, 7, 9, 14, 20, 22, 24, 27 of exercise 6.3 of grade 12th Maths rapidly without any problem because these sums are good, easy, and straightforward. Also, the solutions to these questions are not that lengthy.

##### Which questions of exercise 6.3 of class 12th Maths, students find the complex to solve?

Students find examples 16, 17 and questions 8, 10, 11, 12, 13, 15, 16, 17, 18, 19, 21, 23, 25, 26 of exercise 6.3 of class 12th Maths as the complicated questions to solve. Students are not able to solve these questions by their own and need someone’s help. These questions require complete concentration.

##### Can a student prepare exercise 6.3 of 12th Maths for board exams in just two days?

Students can prepare exercise 6.3 of grade 12th Maths for board exams in two or more days. It depends on student’s working speed, efficiency, capability, and many other factors. But if they try to prepare exercise 6.3 of class 12th Maths in two days, they can easily do that.

##### What are the topics to learn in exercise 6.3 of grade 12th Maths?

In exercise 6.3 of grade 12th Maths, students will study tangents and normals. In this exercise, students will use differentiation to find the equation of the tangent line and the normal line to a curve at a given point.