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RD Sharma Class 12 Maths Solutions Chapter 27 - Direction Cosines and Direction Ratios

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Last updated date: 23rd Apr 2024
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RD Sharma Solutions for Class 12 Maths Chapter 27 - Direction Cosines and Direction Ratios - Free PDF Download

Free PDF download of RD Sharma Solutions for Class 12 Math Chapter 27 - Direction Cosines and Direction Ratios solved by Expert Mathematics Teachers on Vedantu. All Chapter 27 - Direction Cosines and Direction Ratios Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams.

Competitive Exams after 12th Science

Importance of Solutions for Class 12

All the chapters in Class 12 Mathematics books are interconnected to each other and inseparable. After learning about the Trigonometry in previous classes and in this Class the students get to learn about the ‘Direction Cosines’ and ‘Direction Ratios’ by the use of trigonometric formulas which is also associated with the algebraic expressions of the different angles and  projections. This chapter requires students to have prior knowledge about the Matrices and various operations performed on it. This chapter carries close resemblance with the chapter Trigonometry and Matrices. 


The questions here need a higher level of understanding and aptitude to solve them. So reading only the theory of the subject will not be enough for getting your answers correctly during the exams. You must check all the exercises and solve them sincerely. The exercises in R D Sharma with every exercise are very precise and help students to grasp the concepts gradually. So It is better to get acquainted with a lot of other questions in the same pattern to have a more strong  of the methods to choose for solving it.


To get other questions students can follow any recognised supplementary reference books available in the market. R D Sharma is one such famous book for the students and examiners. If students find any questions difficult to understand and hard to achieve the answers then the solutions of these exercises can be of great help. 


The Solutions prepared by the expert teachers at Vedantu are well accepted and popular among students all over India. 

FAQs on RD Sharma Class 12 Maths Solutions Chapter 27 - Direction Cosines and Direction Ratios

1. Are the questions asked in the 12 Class board exams from NCERT Textbooks only?

The final board exam questions for Central Board of Secondary Education (CBSE) and Indian Council of Secondary Education (ICSE) are prepared  according to a certain syllabus. This syllabus or structure of course is provided by them every year. The National Council of Education, Research and Technology (NCERT) prepares and updates its books according to this syllabus provided. So for Class 12 board exams NCERT textbooks are sufficient. However, the questions are not exact as in the book. So never expect the same questions, at least not for the subject of Mathematics. 

2. Do I need to solve all the exercises to get success in my 12th Board Exams?

Class 12 is the crucial milestone in a student's journey for a successful career. And if you are a student of science stream and have chosen technical line as your career goal then you are bound to be good at Math. Securing good marks in the final board exams must be your immediate goal in your academic career. By only studying the complete syllabus we can secure good marks. Solving all the questions is also as important as learning the rules and concepts of Mathematics. The more questions you solve the more you get closer towards your success.

3. What is the significance of R D Sharma for Class 12 board exams and IIT JEE exam?

Because 12 Class ends with the board exams. Mathematics is a very important subject in the exams of a student aiming for a professional career in engineering and technology. The structure of the subject has been designed by keeping the requirements of technical education in mind. So securing good marks becomes a compulsion for every student. The usual course books are very good in terms of imparting the necessary concepts of the subject. But as we all know, solving questions is the only way to comprehend all the concepts in our head. The book of R D Sharma comes with such types of questions for every chapter in large numbers. By solving all questions students get exposure to all types of questions possible over any chapter.

4. Is it possible to solve all questions of R D Sharma without any external help?

R D Sharma books are quite famous among the Mathematics community for containing the most number of questions as well as the toughest ones for any chapter. There are some who take it as a challenge to master all the questions in it. But because the intelligence of every student is different from one another, some may find it not worth mulling over any difficult question for a long time. In such a scenario taking some help would save you a lot of time and prepare smartly. But again students can take benefit of the previously solved papers and their studies completed without any external help

5. Can I fully rely on the Solutions of all exercises for Class 12 Mathematics-  Chapter 27?

Vedantu offers its students the great opportunity of obtaining all the solutions of NCERT Book, R D sharma and other books free of cost. Every answer in the solutions has been prepared by very competent and veteran teachers. Vedantu also checks the content of these solutions and updates them regularly. Any student following these solutions can rest assured of its accuracy and correctness. Anybody can download the solutions free of cost from this website by registering themselves in the required page.