NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations

This chapter introduces the students to quadratic equations by showing how to solve the equations, along with factoring, use of the formula for quadratic equations and determining the nature of roots. The objective is of vast importance as these very ideas form a basis for advanced mathematics and problem-solving in science and engineering. The step-by-step solutions with detailed explanations in ALLEN Study Materials make concepts easy to grasp and interpret in a clear and convenient way.

Answers to NCERT based on the latest course of study provided in the NCERT textbooks will be given. These NCERT Solutions for Class 10 Maths Chapter 4 strictly adhere to the instructions of the CBSE board. They also help you score well in exams and tests. The NCERT solutions for quadratic equations in Class 10 are, therefore, of utmost importance for a student who wants to excel at their exams.

In NCERT Solutions Class 10 Maths Chapter 4, students can find question answers according to the latest syllabus.

1.0NCERT Solutions Chapter 4 Free PDF Download

Students can download NCERT Solutions Class 10 Mathematics Chapter 4 from the below table in PDF format. 

2.0Overview of Quadratic Equations NCERT Exercises

• NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.1

Exercise 4.1 of NCERT Class 10 Maths Chapter 4 contains basic concepts about quadratic equations. Questions have been provided to the students to identify quadratic equations and word problems associated with creating the quadratic equations.

• NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.2

Exercise 4.2 of NCERT Class 10 Maths Chapter 4 deals with solving quadratic equations by factoring. In this exercise, students are asked to factorize quadratic equations and find their roots.

• NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.3

Exercise 4.3 of NCERT Class 10 Maths Chapter 4 deals with the nature of the roots of any quadratic equations. Students are asked to determine the discriminant of quadratic equations.

3.0Applications of Quadratic Equations

Quadratic equations have many applications in real life, including:

• Projectile Motion: Finding the trajectory of moving objects, such as a ball or rocket, along with maximum height and range.
• Business Profit and Loss: This tool helps find the optimum production levels which can maximize profit or minimize the cost.
• Area Calculations: In all such problems where the area is given, dimensions of geometric shapes such as rectangles and squares are found.
• Speed, Distance, and Time Problems: Solve for the meeting point or overtaking time of two objects in motion at different speeds.
• Optimization Problems: It optimizes maximization or minimization problems in some quantity such as crop yield or revenue in industrial applications.