NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations
NCERT solutions for class 10 maths chapter 4 Quadratic Equations deal with the concept of quadratic equations and the different ways of finding their roots. A quadratic equation is represented as ax2 + bx + c = 0 , where a, b, c are the values of real numbers, and the value of ‘a’ is not equal to zero. This is also known as the standard form of the quadratic equation. An interesting fact to note is that many people believe that Babylonians were the first to solve quadratic equations. For instance, they knew how to find two positive numbers with a given positive sum and a given positive product, and this problem is equivalent to solving a quadratic equation. Moreover, the Greek mathematician Euclid developed a geometrical approach for finding out lengths which, in our present-day terminology, are solutions of quadratic equations The NCERT solutions class 10 maths chapter 4 Quadratic Equations teaches kids how to solve these equations by the factorization method and completing the square method. Students will come across important formulas like the quadratic formula for finding the roots of the equation.
The major takeaways from this chapter would be that for a quadratic equation two real roots will be distinct, if b2 – 4ac > 0 ; two coincident roots will be obtained, if b2 – 4ac = 0 ; and no roots will be there, if b2 – 4ac < 0. The students will also explore how quadratic equations can be applied to real-life situations. The pdf file of the class 10 maths NCERT Solutions Chapter 4 Quadratic Equations in detail can be found below and also you can find some of these in the exercises given below.
- NCERT Solutions Class 10 Maths Chapter 4 Ex 4.1
- NCERT Solutions Class 10 Maths Chapter 4 Ex 4.2
- NCERT Solutions Class 10 Maths Chapter 4 Ex 4.3
- NCERT Solutions Class 10 Maths Chapter 4 Ex 4.4
NCERT Solutions for Class 10 Maths Chapter 4 PDF
The quadratic formula was discovered in 1025 AD by Sridharacharya. Since then, the quadratic equations have been widely used not just in mathematics but for real-life situations as well. This chapter explains the concept of solving quadratic equations with the help of real world practical examples so as to keep the learning process engaging and interesting. Students can have a quick glance of each section in the NCERT solutions for class 10 maths chapter 4 Quadratic Equations from the below-mentioned links :
☛ Download Class 10 Maths NCERT Solutions Chapter 4 Quadratic Equations
NCERT Class 10 Maths Chapter 4
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations
Owing to the applicability of quadratic equations in various real-life problems, it becomes an important topic that needs to be understood well. The chapter showcases enough solved examples to ensure the coverage of the topic properly. Students will learn the basics of the various methods involved in finding the roots of quadratic equations along with the graphical representation of the equation. A brief exercise-wise analysis of NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations can be seen below :
- Class 10 Maths Chapter 4 Ex 4.1 - 2 Questions
- Class 10 Maths Chapter 4 Ex 4.2 - 6 Questions
- Class 10 Maths Chapter 4 Ex 4.3 - 11 Questions
- Class 10 Maths Chapter 4 Ex 4.4 - 5 Questions
Topics Covered: The topics covered in the class 10 maths NCERT Solutions Chapter 4 Quadratic Equations are the definition of quadratic equations, standard form of a quadratic equation, nature of roots, the concept of discriminant, quadratic formula, solution of a quadratic equation by the factorization method, and completing the square method.
Total Questions: Class 10 maths chapter 4 Quadratic Equations consists of a total of 24 questions, out of which 15 are straightforward, 5 are intermediate level questions, and 4 are difficult problems. These questions are explained in a step-wise manner. The important points are written in lucid language to encourage better comprehension.
List of Formulas in NCERT Solutions Class 10 Maths Chapter 4
NCERT solutions for class 10 maths chapter 4 will help students deal with different methods of solving a quadratic equation, and these methods involve the use of various formulas, which have been explained step by step in the chapter. Along with the formulas, kids also need to understand their implications. For example, as mentioned above the value of the discriminant can help us gain important insights into the practical applications of that particular quadratic equation. It is a good idea to make a formula sheet that will give kids a quick overview of these points as and when required. A few important formulas are as given below :
- Standard form of a quadratic equation: ax² + bx + c = 0, a ≠ 0
- Quadratic formula: [-b±√(b²-4ac)]/(2a) to find the solution of a quadratic equation.
- Discriminant: b 2 – 4ac
FAQs on NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations
Why are NCERT Solutions Class 10 Maths Chapter 4 vital for scoring well?
The NCERT solutions class 10 maths chapter 4 has been designed by scholars in their respective fields. After a lot of research, they have compiled the content into this textbook, making it a precious resource for study. The quadratic equations have widespread applications in our daily lives; hence, to understand them properly, it is advisable for the students to go through this chapter thoroughly. Also, the CBSE board recommends following these solutions, thereby making them of utmost importance.
Do I Need to Practice all Questions Given in Class 10 Maths NCERT Solutions Quadratic Equations?
The NCERT Solutions Class 10 Maths Quadratic Equations covers a wide range of topics that are important from the board exam's perspective. Problems based on topics such as the roots of a quadratic equation and the factorization method are often asked in exams. Hence, it is worthwhile to go through the entire theory and the solved examples from this chapter to get a better grasp of the concepts.
What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 4?
The important topics covered in the NCERT Solutions Class 10 Maths Chapter 4 are how to represent the given problem statements mathematically, what is the standard form of a quadratic equation, how to solve quadratic equations by factoring and completing the squares which is an essential topic requiring regular practice. Solving questions related to these topics will help the students score well in their board exams.
How Many Questions are there in NCERT Solutions Class 10 Maths Chapter 4?
The NCERT Solutions Class 10 Maths Chapter 4 contains a total of 24 well-researched questions by the subject experts. These 24 problems include both theoretical as well as graph-based questions. All the solutions are elaborated well in the NCERT solutions and are self-explanatory. The questions are solved in more than one method to strengthen the understanding of basic quadratic equation concepts.
How CBSE Students can utilize NCERT Solutions Class 10 Maths Chapter 4 effectively?
Students can utilize the NCERT Solutions Class 10 Maths Chapter 4 effectively by reviewing the principles and theorems explained in each section of the lesson on a frequent basis. They must then solve the exercise questions after practicing all of the examples and reviewing fundamental formulas related to factorization as well as completion of squares method of quadratic equations. This will help them build up their problem-solving approach thereby building confidence in maths.
Why Should I Practice NCERT Solutions Class 10 Maths Chapter 4?
Quadratic equations is one of the topics that is not just important for mathematics but also plays a fundamental role in a lot of real-life scenarios. If you have to calculate the length and breadth of a garden, you can use the quadratic equation. Based on this information, you can plan the quantity of a grass carpet needed for the garden. Quadratic equations are also used in fields such as astronomy, science, architecture. Owing to its vast range of applications, practicing the NCERT Solutions Class 10 Maths Chapter 4 in detail becomes very important for the students. Thus, to perfect this lesson practice is key.