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NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives (Ex 6.3) Exercise 6.3

## NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives (Ex 6.3) Exercise 6.3

Vedantu’s Class 12 Maths NCERT Solutions Chapter 6 has provided a detailed and thorough solution for the board exam aspirants. And the NCERT Class 12 Exercise 6.3 - Application of Derivatives is one of those hard and tricky chapters, which is intentionally being avoided by the students. But it is also important to grasp the concept of this chapter to score better in the exam. Our simple and easy solution of the NCERT Maths Class 12 Solutions available in downloadable PDF format will help you score well.

## Chapter 6: Exercise 6.3

Chapter 6 of Maths for Class 12, the application of derivatives covers the following sections:

Tangents and Normals

Exercise

Introduction

Class 12 is a crucial academic year for every board students. Along with the huge study pressure, students have to think about their future careers too. Most of the students are not sure about what they want to pursue in the future. And the basic reason behind this uncertainty is due to the lack of confidence and interest in their subjects.

If you are from the science background, then you must have Maths as a subject. And Class 12 Maths is the last step of your school academics. You will get the complete view of Maths and its application. It may make you feel that you’re succumbing in the dark pothole of Maths, but only if you don’t understand the concept. On top of that, if you are wondering that after 12th you will pursue other subjects, so you can skip your math lessons. Then you’re completely wrong because math is the core subject of any science stream. Even if you want to pursue engineering, you will need math in every possible chapter.

Along with the wide applications of math, not understanding it will decrease your score in the board exam. It will affect your score overall. To some worst case, you can miss the cut off marks of your dream college too.

Class 12 Maths Chapter 6 Exercise 6.3 is a chapter of the application of derivatives. It is a vast chapter containing all the advanced math formulas and mathematical derivations. Most of the students avoid this chapter because it is hard to understand. But one cannot possibly escape this chapter, as most of the questions in boards and college entrance exams are from this section. So if you want to score better in your boards, then you must understand the rules, formulas, and techniques of this chapter.

In the NCERT Maths Class, 12 Exercise 6.3 Solutions the methods and formulas are explained in a simple way to get a grip on the concept.

Tangents and Normals

In this section of NCERT Class 12 Exercise 6.3, an overview of the tangent and the normal line is given. Theoretical knowledge has been provided in this part. The equation of a straight line has been given along with the slope at any given point. From that slope and the equation, slope of the tangent to the curve has been calculated and the process is explained within the theory.

Since the normal is perpendicular to the tangent, the slope of the normal to the curve can be calculated too. By solving all of these above equations, the equation of the normal to the curve can be measured. Thus, from this mathematical derivation, the formula is originated.

Following the above-derived formula, several cases have been given to understand the multiple functions of the formula.

Later in the same section, a few examples are given along with the solutions. These are for guiding the students into the exercise part.

Exercise

In the Ex 6.3 Class 12 NCERT Solutions, a total of 27 questions have been given. These questions are related to the Tangents and Normals chapter.

In the NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3, some questions are on finding the value of the slope of the tangent on the given equations. In these questions, a y-axis equation is provided along with the x coordinate value. NCERT Solutions Class 12 Maths Chapter 6 Exercise 6.3 shows step by step solution. At first, the differential equation of slope was formulated and then the coordinate values are input. It is the simplest and easy means of finding the slope value.

Some of the questions from Maths NCERT Solutions Class 12 Chapter 6 Exercise 6.3 are given to find out the point, at which the tangent is parallel to the chord joining two given points. This problem is comparatively difficult than previous problems. But the solution paper made the understanding easier by explaining it in a simple step by step method.

Some of the problems are asking to create the equation of lines on a given slope. As you proceed further into the exercise, you will find more complex math problems. Some of them are related to finding the slope of a curve. Some questions are related to finding the equation which is parallel to a particular axis, and so on.

The calculation of slopes and equation in the Tangents and Normals chapter have been covered in a simple and detailed way of keeping the standard of Class 12 students in mind. The entire NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.3 have been designed following the CBSE NCERT guideline strictly. This solution paper not only just helps them to score better in the exam but also gives a clear and precise idea of the chapter.

### Why Vedantu?

Vedantu is a leading online teaching platform in India. They offer a variety of teaching services. There NCERT Maths Class 12 Exercise 6.3 Solutions PDF can be downloaded for free from their website. They aim to provide quality solutions for the students. They understand the importance of saving time for students. But going to schools and tuitions take a lot of time from them, leaving very less time for themselves. But Vedantu made it easier for them with their online study platform.

The online mobile learning app by Vedantu saves travelling time. You can avail all the free study materials, solution papers directly from their website just by registering with us. You can join us on our free live masterclasses. And if you have any doubts regarding any question and solution, you can ask our expert teachers anytime on our website. With this easy means, you can study whenever and as long as you want to study. So, download our free Class 12 Maths Chapter 6 Exercise 6.3 Solutions immediately and make your board score remarkable.**Study without Internet (Offline)**

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