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RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10H) Exercise 10.8

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Last updated date: 27th Mar 2024
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RS Aggarwal Solutions Class 10 - Quadratic Equations (Ex 10H) - Free PDF

Free PDF download of RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10H) Exercise 10.8 solved by Expert Mathematics Teachers on Vedantu. All Ex 10.8 Questions with Solutions for RS Aggarwal Class 10 Maths to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams. Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in CBSE board examination.

How to download Class 4 RD Sharma Chapter 20 Solutions?

Students can download Class 7 RD Sharma Chapter 4 Rational Numbers Solutions at Vedantu’s official website.

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About Quadratic Equations

Quadratic Equations are 2nd degree polynomial equations. The roots of a Quadratic Equation are the 2 values of x, that are obtained by solving the given Quadratic Equation. The roots of a given Quadratic Equation are referred to by beta (β) and alpha (α). The roots of a given Quadratic Equation are also called the zeros of the equation. 

In this chapter, Class 10 students study how to find the nature of roots of a given Quadratic Equation without actually calculating the roots of the equation. Class 10 students should practice Quadratic Equations thoroughly as this chapter has an important role in further classes. Students can benefit a lot if their fundamentals and concepts are clear.


Conditions of Roots and their Meanings-

The nature of roots of a Quadratic Equation can be taken out without actually calculating the roots, alpha & beta, of the given equation. This is done by taking the discriminant value. The conditions and their meanings are-

  • When D > 0, (the roots of the equation are real and distinct)

  • When D = 0, (the roots  of the equation are real and equal)

  • When D < 0, (the roots  of the equation do not exist/ the roots are imaginary)

FAQs on RS Aggarwal Solutions Class 10 Chapter 10 - Quadratic Equations (Ex 10H) Exercise 10.8

1. How to graph the Quadratic Equation ax2+bx+c=0?

The graph of a Quadratic Equation ax2 + bx + c = 0 can be obtained by defining its as a function ax2+bx+c=0. By solving and substituting values for x,  values of y are obtained and then, many numerous points can be obtained. These points are presented in the coordinate axis to obtain a parabola-shaped graph for the Quadratic Equation. This how a graph can be plotted for the Quadratic Equation ax2+bx+c=0. Class 10 students can find more questions on graphing of Quadratic Equations in RD Sharma and Vedantu’s official site.


2.  How to study Class 10 Quadratic Equations?

Quadratic Equation is one of the most important chapters of Class 10 maths as it carries a lot of weightage and also appears again in higher classes. Class 10 students can start their preparations with solving NCERT Exercises and then moving on to reference books like Rd Sharma. Rd Sharma has a lot of good questions that will help the student to understand the questions patterns. Students can then move on to the previous year’s papers which will test the children in an exam-like situation. This is how a Class 10 student should study for Quadratic Equations.

3. What is the factorization of the Quadratic Equation?

Factoring Quadratic Equations is one of the methods of representing the polynomial as a multiplication of its linear factors. Factoring Quadratic Equations is a process that enables the Class 10 students to simplify the given quadratic expressions and find their roots and solve equations. A quadratic polynomial is of the form ax2+bx+c=0, (where a, b, and c are real numbers). Factoring quadratics is a method that helps us to find the 0s of the Quadratic Equation ax2+bx+c=0.

3. What are the methods to solve the Quadratic Equation?

Quadratic Equations are 2nd-degree forms of algebraic expressions. A Quadratic Equation can be solved to get the 2 values of x or the 2 roots of the equation. These values are very useful and can be used to get other values that will make the graph of the given Quadratic Equation. 

The 4 methods of solving the Class 10 Quadratic Equations are as follows-

  • Factoring of Quadratic Equation

  • Formula Method of Finding Roots

  • Method of Completing the Square

  • Graphing Method to Find the Roots

4. What is the Quadratic Formula?

The Quadratic Formula is the easiest method to find the roots of the given Quadratic Equation. In Class 10 Quadratic Equation, certain Quadratic Equations cannot be easily factored and there the students can use the quadratic formula to find the roots in the quickest possible way. The roots of the Quadratic Equation help to find the sum of the roots and the product of the roots of the given Quadratic Equation. The 2 roots in the quadratic formula are presented as 1 expression. The positive sign and the negative sign can be alternatively used to obtain the 2 distinct roots of the given Quadratic Equation.