Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# RD Sharma Solutions for Class 10 Maths Chapter 8 - Quadratic Equations

Last updated date: 08th Sep 2024
Total views: 847.8k
Views today: 24.47k

Competitive Exams after 12th Science

## Class 10 RD Sharma Textbook Solutions Chapter 8 - Quadratic Equations

The Quadratic formula provides the roots or zeros/x-intercepts of a quadratic equation. The quadratic equations are second-degree equations in x that have two answers for x. The two answers for x are the roots of the quadratic equations and are designed as (ɑ,β). Quadratic equations take the form of a parabola on the graph. Basically, the quadratic equation in its standard form is ax2+bx+c=0 where a and b are coefficients, x is the variable and c is the constant term. The first condition for an equation to be a quadratic equation is that the coefficient of x2  is not zero, i.e., a≠0. There are several forms of quadratic equations in real math problems like:

a)  (x-1)(x+2)=0                                                              c) 5x(x+3)=12x

b)  -x2=-3x+1                                                                   d)  x3= x(x2+x-3)

All such equations have to be transformed into the standard form of quadratic equation before  moving forward with further operations. The quadratic formula is the easiest way to find the roots of a quadratic equation: x= [-b±√(b2-4ac)]/2a. When there are certain quadratic equations which cannot be easily factorised, here we can find the roots using this formula in the quickest possible way.

Surprisingly these complex-looking equations are used in the real world like in business to find the profit, to calculate room surface area during construction, in military and law enforcement for launching missiles and in sports to determine speed, height or velocity of a ball to be thrown by a player.

According to the latest (2024-25) version of R.D. Sharma Solutions for Class 10 Maths, Quadratic Equation features as the 8th Chapter of the textbook. It is one of the most important chapters of Class 10 Maths and can only be solved if the basics are strong and well- understood. It consists thirteen exercises *Exercises 8.1 to 8.13) after the chapter. The main modules included in this chapter are:

1. Determination and Formulation of Quadratic Equations

2. Various ways of finding their zeros/roots like factorisation, completing of square through Quadratic Equations

3. Application of Quadratic Equations in real life situations

## FAQs on RD Sharma Solutions for Class 10 Maths Chapter 8 - Quadratic Equations

1. What are the best books suggested for understanding Quadratic Equations?

R. D. Sharma Class 10 Maths is the highlighted book recommended by teachers for proper understanding of the concepts with excellent use of examples and easy to tough questions after the completion of the chapter. The exercises ranging from 1 to 13, in chapter 8 of the book, have a variety of questions that students can solve for revision ahead of the exa. NCERT is also a highly suggested book if students are looking to get good marks in the Board exams.

2. Are sample papers enough to solve Quadratic Equations?

Maths means practice and only regular practice can help a student shine in the much reputed Board exams. Vedantu believes in bringing out the best of the students through its well-curated and aptly analyzed sample/mock papers, by experts, which can be downloaded in the PDF format for free. Most of the sample papers include questions similar to those in Previous Years’ Question papers along with a variety of other questions of a particular topic which will help clear all doubts.

3. How do we remember the formulae of Quadratic Equations?

Since the quadratic formula is a very long and cumbersome formula to remember, it is mandatory for the students to learn the formula since it is helpful to solve the questions. First is to understand the derivation of the formula and why it is used. Solve for two values- positive and negative. One of the best ways is to use mnemonics which aids memorisation. Many students also used images and actions to associate with the variables, symbols and numbers in the formula- this works well for visual learners.

4. How to know the difference between a standard and a non-quadratic equation?

While not all quadratic equations are in the standard form,  one has to keep in mind that a should not be zero. Examples of standard quadratic equations are 6x2+11x+5=0, x2-x-3=0. Understanding quadratic equations is a foundational skill for both algebra and geometry. Now, if a student harnesses his/her algebra skills through practice, they can easily identify the loopholes. Some of the tricks to identify non-linear quadratic equations are:

• Missing the Linear Coefficient: 2x2-64=0

• Missing the Constant Term: x2-8x=0

5. How many questions are given related to Quadratic Equations in the Class 10 Board exams?

Maths revolves mostly around various formulae. Students have to sharpen their algebra skills through rigorous practice since there is a tendency to forget the important formulae before the exam. According to the latest CBSE marking scheme, there are a total of 40 questions divided into four sections. There are five questions from Quadratic Equations and if a student has mastered the chapter, then the questions will be very easy and  extremely scoring. The questions are either in the form of a Multiple Choice Question (MCQ) or as a Short/Long type question.