NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations: We have studied in chapter Polynomials that a polynomial of degree two is known as a quadratic polynomial. If we equate the quadratic polynomial to zero then we will get a quadratic equation. That is an equation of the form ax^{2}+bx+c=0 with a not equal to zero is known as quadratic equations. There are many reallife problems where we can form quadratic equations to solve it. The NCERT Solutions for Class 10 Maths Chapter 4 introduces the concepts of quadratic equations and different methods to solve it. There are many reallife problems mentioned in the NCERT Solutions for Class 10 Maths.
For example, Ramu has a rectangular plot. He forgot the length and breadth of the plot. But he remembers that area of the plot is 400 m^{2} and length is 9m more than the breadth. What should be the length and breadth of the plot? To solve this question let's consider the length to be x then the breadth will be x9 and area is (x9)x=400. This is how the question is formulated. NCERT Solutions explains different methods to solve it. Now we will solve the above problem using one of that method. We have formulated the question above as (x9)x=400.
that is
x^{2}9x=400 or x^{2}9x400=0
That is
x^{2}25x+16x400=0
which can be written as
x(x25)+4(4x100)=0 or
x(x25)+16(x25)=0 or
(x25)(x+16)=0 or
x25=0 implies x=25 or x+16=0 implies x=16. The value 16 is not possible since the length cannot be negative. Therefore. length=25m so breadth=259=16m. There are different methods to solve this problem which are mentioned in NCERT Solutions for Class 10 Maths Chapter 4.
4.2 Quadratic Equations
4.3 Solution of a Quadratic Equation by Factorisation
4.4 Solution of a Quadratic Equation by Completing the Square
4.5 Nature of Roots
4.6 Summary
It is a must to solve all the questions mentioned in the NCERT textbook. It will help to improve your understanding of the chapter which will finally help in the exams. Below are the NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations.
Chapter No. 
Chapter Name 
Chapter 1 

Chapter 2 

Chapter 3 

Chapter 5 

Chapter 6 

Chapter 7 

Chapter 8 

Chapter 9 

Chapter 10 

Chapter 11 

Chapter 12 

Chapter 13 

Chapter 14 

Chapter 15 
Q1. Find the roots of the following quadratic equations by factorisation:
(iv)
Q2. Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.
Q5. The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.