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RD Sharma Class 11 Solutions Chapter 14 - Quadratic Equations (Ex 14.1) Exercise 14.1 - Free PDF

Last updated date: 04th Mar 2024
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Quadratic Equations By Vedantu

After the secondary board exams in Class 10, Class 11 lays the foundation for a Science student's preparation of basic concepts for exams like boards, JEE and NEET. Concepts learnt in this standard are carried along by the students throughout their lives and are useful for applying in his/her studies further ahead. To help with your exam preparation, Vedantu is here! Vedantu's platform provides excellent solutions, sample papers and previous year question papers of every subject in the PDF format for free!

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About RD Sharma Book

RD Sharma Class 11 Math book is highly recommended to students for studying and practicing from, and for clearing fundamental concepts as well. The curriculum is made in accordance with the syllabus given by the Central Board of Secondary Education (CBSE). Chapter 14 on Quadratic Equations is based on the concepts learnt in the previous chapter, i.e., Complex Numbers. It starts with a recap of previous concepts of quadratic equations with real numbers where the discriminant is non-negative. A quadratic equation is one in the form: ax2 + bx + c= 0 where a, b and c are real coefficients and the discriminant (D) is b2 - 4ac. In case of complex numbers, i.e., for imaginary numbers, D is less than 0. Then the solutions of a quadratic equation for complex numbers is illustrated next.

The square root of negative real numbers is available in the set of complex numbers. Therefore, the solutions of a quadratic equation with imaginary numbers,ie, negative real numbers in the equation can be given as:

               x =  {−b ± √(4ac - b2) i }/ 2a

where i= √-1.

 It also states that a polynomial equation of degree “n” has “n” number of roots.

Advantages Of Referring To Rd Sharma Math Book For Class 11

  • Elaborate description of topics from every chapter that helps students clear fundamental concepts and get an enhanced understanding of the subject which helps them ahead during board exams as well as competitive exams.

  • Solved problem sums are given along with every topic to clarify the concept of problem-solving from every chapter.

  • Exercises are made with two levels of difficulty to aid students in their exam preparation by practicing on them.

  • Multiple Choice type questions are given for each chapter to help students prepare and understand the pattern of questions of competitive exams like JEE and NEET.

  • Important formulas and definitions prepared in bullet points are given in the form of a chapter summary at the end for quick and efficient revision.

FAQs on RD Sharma Class 11 Solutions Chapter 14 - Quadratic Equations (Ex 14.1) Exercise 14.1 - Free PDF

1. Where can I find solved exercises for RD Sharma Math Class 11?

You can get solutions, sample papers, revision notes and a lot more on Vedantu's website and app. Solved exercises from every chapter are prepared by experienced professionals on Vedantu and now RD Sharma Class 11 Math exercise 14.1 solutions for free in PDF format. Download the PDF and make your exam preparation easier than before.

2. What are the topics covered in RD Sharma Class 11 Math Chapter 14?

RD Sharma Math Class 11 Chapter 14 on Quadratic Equations starts with explaining the concept of quadratic equations with negative real numbers and their solutions. Since the square root of a negative real number can be found in the set of complex numbers, it is easy to find the discriminant (the value of which is less than 0) as well as the roots of the equations with the negative real numbers.

3. Is solving RD Sharma Math books for Class 11 enough for the exam?

Yes, textbooks by RD Sharma are suggested by experts to be studied for clearing basic concepts and the exercises are prepared with lots of problems sums for the students to practice and solve that help them gain insight into the problem-solving process which in turn help them during the exams. RD Sharma Math book follows the syllabus prescribed by CBSE so students can be rest assured to get every topic covered in the chapters and get enough questions for practice in the exercises.

4. Is it necessary to solve all the questions in an exercise of a chapter?

The exercises are made for the students to solve and practice. They help them to get a detailed understanding of the subject. Answers are provided for every sum in the exercises and a few typical an enhanced understanding of the subject and can also get repeated in the exams which will put the students one step ahead during the exam.

5. How to get good marks in the math exam

First of all, it is important to clear the basics, follow the solved examples given along with each topic then test and practise your knowledge by solving problem sums from the exercises. It is also important to memorize all the important formulas which can be found in the summary given at the end of each chapter. Practice regularly, revise formulas and solve sample papers which are available on Vedantu's platform and are free to download in PDF format anytime, anywhere!