NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations
  • Written By Abhishek_verma
  • Last Modified 10-08-2022
  • Written By Abhishek_verma
  • Last Modified 10-08-2022

NCERT Solutions For Class 10 Maths Chapter 4: Free PDF

NCERT Solutions for Class 10 Maths Chapter 4: Quadratic Equations: NCERT Maths Class 10 Chapter 4 comes in as Quadratic Equations. Quadratic equations are stated as the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c where a, b, c, ∈ R and a ≠ 0. This is a general form of a quadratic equation where ‘a’ is referred to as the ‘leading coefficient and ‘c’ is called the absolute term of f (x). Candidates of Class 10 can refer to this article for finding the solutions to NCERT CBSE Class 10 maths chapter 4.

Class 10th Maths Chapter 4 contains 5 different exercises. Students must attempt all the sums provided in the exercises. Embibe offers PDFs for books, syllabus, solution sets, previous year question papers, and mock tests for free. Students can access NCERT Solutions For Class 10 Maths Chapter 4 on this page.

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NCERT Solutions For Class 10 Maths Chapter 4- Quadratic Equations

Before getting into the details of the NCERT Solutions for Class 10 Maths Chapter 4, let us go through the topics and subtopics covered in this chapter. Class 10 Maths chapter 4 exercise 4.1, Exercise 4.2, Class 10 maths chapter 4 exercise 4.3 along with 4.1, Exercise 4.4, and Exercise 4.5 is given here in the following sections of the article. Furthermore, you can download the exercise-wise NCERT Solutions for Quadratic Equations. Let’s have a look at the topics covered in the exercises in the table below:

Exercise 4.1Introduction
Exercise 4.2Quadratic Equations
Exercise 4.3Solution of a Quadratic Equation by Factorization
Exercise 4.4Solution of a Quadratic Equation by completing a square
Exercise 4.5Nature of Roots

Quadratic Equations is one of the most important chapters as it carries a significant weightage in the Class 10 board exams. The NCERT Solutions provided here are as per the NCERT textbook and are prepared by the top academic experts at Embibe. The approach followed by Embibe simplifies the process and makes it easier for the students to learn the concepts better. Referring to these detailed NCERT Class 10 solutions will enable students to complete their assignments on time and help them at their initial stage of exam preparation. Students can download the Algebra Formulas from Class 10 here

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NCERT PDF Solutions For Chapter 4 Maths Class 10

Follow the solution sets as it will help students to improve time management by using techniques that will also ensure accuracy. In this section, students can find the solution sets for Class 10 Maths Chapter 4.

Q.3. Check whether the following are quadratic equations: x-2x+1=x-1x+3
Solution:
We know that any equation of the form ax2+bx+c=0 is called a quadratic equation, where a,b,c are real numbers and a≠0.
Given equation is x-2x+1=x-1x+3 ⇒x2-x-2=x2+2x-3 ⇒3x-1=0
But, here a=0, b=3 and c=-1 So, the given equation is not a quadratic equation.

Q.4. Check whether the following is a quadratic equation. x-32x+1=xx+5
Solution:
We know that any equation of the form ax2+bx+c=0 is called a quadratic equation, where a,b,c are real numbers and a≠0.
Given equation is x-32x+1=xx+5
⇒2×2-6x+x-3=x2+5x ⇒x2-10x-3=0 Here, a=1,b=-10 and c=-3. Thus, the given equation is a quadratic equation as a≠0.

Download Class 10 Maths Chapter 4 NCERT Solutions

Also, check:

1st Chapter: Real Numbers
2nd Chapter: Quadratic Equations
2nd Chapter: Polynomials
3rd Chapter: Pair of Linear Equations in Two Variables
5th Chapter: Arithmetic Progressions
6th Chapter: Triangles
7th Chapter: Coordinate Geometry
8th Chapter: Introduction to Trigonometry
9th Chapter: Some Applications of Trigonometry
10th Chapter: Circles
11th Chapter: Constructions
12th Chapter: Areas Related to Circles
13th Chapter: Surface Areas and Volumes
14th Chapter: Statistics
15th Chapter: Probability

Students can also find the PDF download for all the chapters of Class 10 Maths at the official website.

CBSE Class 10 Maths Chapter 4: Quadratic Equations

Chapter Description: Quadratic Equation Exercises for Class 10 focuses on equations involving quadratic polynomials, i.e., polynomials of degree two. Quadratic equations are equations of the form y = ax2 + bx + c.

The shape of the graph of a quadratic equation is a parabola. Not all equations ax2 + bx + c = 0 can be easily factored. Thus, we need the formula to solve for x.

For example:

Suppose a charity trust decides to build a prayer hall having a carpet area of 300 square meters with its length one meter more than twice its breadth. What should be the length and breadth of the hall?

Suppose the breadth of the hall is x metres, then its length should be (2x+1) metres

Area of the hall = (2x+1) . x
300 = 2x2 + x
Therefore, 2x+ x – 300 = 0

So, the breadth of the hall should satisfy the equation 2x+ x – 300 = 0, which is a quadratic equation.

Quadratic equations have unique properties that fascinate mathematicians, and they can be used as a model to understand more complex polynomials.

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Advantages of Embibe’s Class 10 Maths Chapter 4 Solutions

The NCERT Solutions provided by Embibe are a complete package and have many benefits. Some of the advantages of Embibe’s NCERT solutions are mentioned below:

  1. These NCERT solutions will help students in understanding the topics better and learn the correct approach to solve problems.
  2. With the help of NCERT solution for quadratic equation exercises, students can easily learn the methods to find solutions/roots of quadratic equation problems Class 10.
  3. The NCERT solutions by Embibe include all the exercises and problems of the 10th Maths NCERT textbook.
  4. All the answers in these solutions are explained in a step-by-step manner.
  5. These solutions have been prepared by our academic experts in accordance with the latest revised NCERT guidelines.
  6. These NCERT solutions can also be used for a quick revision before the exams.

FAQs on Quadratic Equation Class 10 NCERT Solution

Frequently asked questions related to solution set for Quadratic Equations is listed as follows:

Q.1: Find the value of ‘p’ from the equation 4×2 – 2x + p – 4 = 0 if one root of the equation is the reciprocal of the other.
Ans: The value of ‘p’ is 8.

Q.2: Determine the natural number which is equal to 160 times its reciprocal when increased by 12.
Ans: The natural number is 8.

Q.3: Find the value of ‘k’ from the equation x2 + kx – (5/4) = 0 whose root is given as 1/2.
Ans: The value of ‘k’ is 2.

Q.4: Find the two successive integral multiples of 5 which give the value of 300 after multiplication.
Ans: The numbers are 15 and 20.

Q.5: Where can I find the free solution set for NCERT Solutions for Chapter 4 Maths Class 10?
Ans: Embibe offers PDF of solution sets for all the exercises from NCERT class 10 Maths for free.

Practice Class 10 Maths Lessons with Embibe

We have now provided you with all the details on NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations. Make the best use of it by solving these questions with proper understanding. Also, try and solve different types of questions, which will help you to gain confidence. Students can also practice more Quadratic Equation problems for Class 10 at Embibe to improve their scores. Further, you can download the NCERT Solutions for Class 10 Maths for all chapters at Embibe.

In addition to the NCERT Solutions, Embibe also offers sample questions and mock tests for Grade 10 students. All the resources, including the NCERT Solutions, offered by Embibe are available for free. You can solve CBSE Class 10 Practice Questions or take Class 10 Foundation Mock Tests on Embibe.

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We hope that this article on quadratic equation NCERT Class 10 solutions help you. Stay tuned on Embibe for more on NCERT Solutions For Class 10 Maths Chapter 4.

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