# NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1

NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1 Quadratic Equations View in Video Format in Hindi Medium and English Medium or download in PDF form for academic session 2020-21.

All the solutions are applicable for CBSE Board as well as UP Board & Uttarakhand Board students using NCERT Books 2020-2021. Download Class 10 Apps and Solutions of other subjects for offline use updated for academic session 2020-21.## NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1

Class: | 10 |

Subject: | Maths – गणित |

Chapter 4: | Exercise 4.1 |

### 10 Maths Chapter 4 Exercise 4.1 Solutions

NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1 Quadratic Equations all question-answers in English as well as Hindi Medium to use online or download in PDF are given below. If you need Chapter 4 Exercise 4.1 in Hindi Medium offline use, just download in PDF or download Offline apps. All solutions are updated as per the suggestions received by students/teachers/parents based on latest CBSE Syllabus 2020-2021. These solutions are available do download (Exercise 4.1) in PDF form. Download Class 10 Maths App as well as कक्षा 10 गणित App for offline use.

### Class 10 Maths Exercise 4.1 Solutions

#### Important Terms Related to Quadratic Equations

1. Quadratic Equation: An equation of the form ax² + bx + c = 0, a ≠ 0 is called a quadratic equation in one variable x, where a, b and c are constants. For example 2 x² – 3x + 1 = 0

2. Roots of a Quadratic Equation: Let ax² + bx + c = 0, be a quadratic equation. If α is a root of this equation. It means x = α satisfies this equation i.e., aα² + bα+ c = 0.

3. Discriminant: For the quadratic equation ax² + bx + c = 0 the expression is called the discriminant and denoted by D. Then the roots of the quadratic equation are given by (–b ± √D)/2a.

##### Points to be Remembered

I. Number of Roots: A quadratic equation has two roots, one roots or no roots, it is depending the value of D.

1. If D > 0, it has two distinct real roots.

2. If D = 0, it has two equal roots.

3. If D < 0, there is no real roots.
II. Methods for Solving Quadratic Equation
1. By factorization
2. By completing the square
3. By Quadratic Formula
III. Quadratic Formula to find roots of ax² + bx + c = 0 is given by x = (– b – √D)/2a and x = (– b + √D)/2a.

Download NCERT Books and Offline Apps 2020-21 based on new CBSE Syllabus. Ask your doubts related to NIOS or CBSE Board and share your knowledge with your friends and other users through Discussion Forum.