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RD Sharma Class 12 Solutions Chapter 16 - Tangents and Normals (Ex 16.3) Exercise 16.3

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RD Sharma Class 12 Solutions Chapter 16 - Tangents and Normals (Ex 16.3) Exercise 16.3 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 16 - Tangents and Normals Exercise 16.3 solved by Expert Mathematics Teachers on Vedantu. All Chapter 16 - Tangents and Normals Ex 16.3 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Competitive Exams after 12th Science

Overview of RD Sharma Class 12 Solutions Chapter 16

The unit of Tangents and Normals elaborate on how we can use differentiation to analyse and calculate equations of tangent and normal to a curve.


Definition of a tangent: Tangent is a straight line that touches any curve at just a single point. 


Definition of normal: The line which is perpendicular to the tangent is called the normal.

A key piece of information to be kept in mind is that for the equation of a straight line passing to the coordinates X1 and Y1 the gradient m is given by: \[\frac{y-y_{1}}{x-x_{1}}=m\] 


Another point to be noted is that if any two lines in M1 and M2 are perpendiculars then M1M2 = -1.


The list of important topics which are covered in R D Sharma Class 12th chapter Tangents and Normals are as follows:

  • How to calculate the slope of the line

  • How to calculate slopes of both Tangents and Normals.

  • To be able to calculate a point on any given curve at which tangent is parallel to the particular line.

  • Find the gradient for tangent and normal

  • Miscellaneous uses of Tangents and Normals

  • Calculating the equation of the curve

  • Calculating equation for Tangents and Normals

  • Finding the angle of intersection for two respective curves.

  • Define and application of Orthogonal curves

 Outline of exercise from R D Sharma chapter Tangents and Normals Class 12th


Exercise 16.1-


Exercise 16.2-


Exercise 16.3-


Important advice and key points to keep in mind to score well in the exam using RD Sharma solutions:

These key points are mainly focused on Chapter 16 of Class 12th RD Sharma


Students must have prerequisite knowledge of some basic topics like lines, different types of lines and their property are required.


As the theoretical aspects of RD Sharma’s books are not much, a keen idea about the formulas and different properties of tangent and normal must be known by a student.

FAQs on RD Sharma Class 12 Solutions Chapter 16 - Tangents and Normals (Ex 16.3) Exercise 16.3

1. Is chapter Tangents and Normals important?

Every chapter is important when preparing for the final exam hence all the chapters must be prepared with full concentration and hundred per cent interest so that the concepts are missed and students can score good marks in the final term. . In geometry, a tangent is any line that touches a curve at a single point. Download the solved version of RD Sharma available here on Vedantu so that a multiple practice session could be made and any doubt could be rectified, at any given point in time.

2. Is RD Sharma textbook Chapter 16 of Class 12th covering all important topics properly?

The RD Sharma book has been prepared according to the CBSE syllabus norms covering all the concepts being taught in the NCERT textbook, therefore it covers all important topics and concepts which are part of the Class 12th curriculum. Students need not worry about missing some important concepts while solving the questions of RD Sharma and should be focusing mainly on improving their skills and knowledge of this chapter.

3. Which is better, NCERT or RD Sharma for Class 12 Chapter 16?

Both the books NCERT and RD Sharma follow the CBSE syllabus and cover all the concepts required to be taught to students given in the curriculum. Both the books are different in their perspective and nothing can be said as better than the other. NCERT focuses on theory as well as numerical applications of concepts being taught whereas RD Sharma is more of a numerical application book focused mainly on practice for students so that their concepts become more firm, and students are more confident for subjects like maths and physics.

4. Are the solutions provided by Vedantu authenticated?

The solution book provided by Vedantu is prepared by highly experts and professionals after a lot of research to minimize the steps, meanwhile keeping in mind that students can understand the concepts being dispensed in the solutions. Hence students can be tension free and refer to these solutions for preparation of their main examination. Vedantu provides you with the solution of RD Sharma all the chapters cost-free, just a basic email or phone number registration is required and all the assistance is provided. It can be downloaded in PDF format from the Vedantu app or website.