**NCERT Solutions For Class 10 Maths Chapter 4:** The first step towards board exam preparation is solving NCERT textbook exercise questions. Thus, students searching for NCERT Solutions for Class 10 Maths Chapter 4 (Quadratic Equations) exercise questions can go through this article. We have provided you with NCERT Class 10 Chapter 4 solutions in PDF so that you can refer to NCERT solutions offline as well. Read on to get NCERT Class 10 Maths exercise solutions for Chapter 4 – Quadratic Equations.

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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’s go through the topics and subtopics covered in this chapter.

Exercise 4.1 | Introduction |

Exercise 4.2 | Quadratic Equations |

Exercise 4.3 | Solution of a Quadratic Equation by Factorisation |

Exercise 4.4 | Solution of a Quadratic Equation by Completing the Square, |

Exercise 4.5 | Nature 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 step-by-step approach followed here will improve the students’ understanding and help them know the correct problem-solving approach. 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.

**NCERT Solutions For Class 10 Maths Chapter 4 – Quadratic Equations (Solved Exercises PDF)**

You can go through the solved exercises for Class 10 Maths Chapter 4 below. Also, you can download the **CBSE Class 10 Maths Chapter 4 Solutions PDF** to practice offline*.*

**DOWNLOAD NCERT SOLUTIONS PDF FOR QUADRATIC EQUATIONS HERE**

Also, check:

**1st Chapter: Real Numbers****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****10thChapter: Circles****11th Chapter: Constructions****12th Chapter: Areas Related to Circles****13th Chapter: Surface Areas and Volumes****14th Chapter: Statistics****15thChapter: Probability**

**CBSE Class 10 Maths Chapter 4: Quadratic Equations**

**Chapter Description: **This chapter deals with equations involving quadratic polynomials, i.e., polynomials of degree two. Quadratic equations are equations of the form *y = a x ^{2 }+ bx + c*

The shape of the graph of a quadratic equation is a parabola. Not all equations *ax ^{2 }+ 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 = 2x^{2 }+ x

Therefore, 2x^{2 }+ x – 300 = 0

So, the breadth of the hall should satisfy the equation 2x^{2 }+ 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.

NCERT Solutions for Class 10 Maths Chapter 3 | NCERT Solutions for Class 10 Maths Chapter 5 | NCERT Solutions for Class 10 Maths (All Chapters) |

### Advantages Of Embibe’s NCERT Solutions For Class 10 Maths Chapter 4

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

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

### FAQs On NCERT Solutions For Class 10 Maths Chapter 4

Given below are some of the frequently asked questions:

**Q1. Find the value of ‘k’ from the equation x**

^{2}+ kx – (5/4) = 0 whose mysqladmin is given as 1/2.A. The value of ‘k’ is 2.

**Q2. Determine the natural number which is equal to 160 times its reciprocal when increased by 12.**

A. The natural number is 8.

**Q3. Find the two successive integral multiples of 5 which give the value of 300 after multiplication.**

A. The numbers are 15 and 20.

**Q4. Find the value of ‘p’ from the equation 4x**

^{2}– 2x + p – 4 = 0 if one mysqladmin of the equation is the reciprocal of other.A. The value of ‘p’ is 8.

### 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 questions on Quadratic equations at Embibe to improve their score.

In addition to the NCERT Solutions, Embibe also offers sample questions and mock tests for 10th-grade 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 a **Class 10 Foundation Mock Tests** on Embibe.

**DOWNLOAD NCERT SOLUTIONS FOR CLASS 10 MATHS (ALL SUBJECTS)**

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