NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.2

 

NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.2 include stepwise solutions to all the exercise questions. The askIITians experts have created these solutions based on the latest CBSE syllabus and exam pattern. Once you have these solutions, you can revise this exercise without any problem. These solutions will resolve your doubts, provide you with proper reasoning and clear explanations. The best part is that these solutions are free to download. So, you can keep them with you and refer to them as many times as you want. 

About NCERT Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2 

 

The second exercise of the Quadratic Equations chapter is based on finding the roots of the quadratic equation using the factorisation method. There are 6 questions in this exercise in which some of which are word problems. You must read each question very carefully before you start solving it. Given below are some important points related to this exercise. 

• A real number α is called a root of the quadratic equation ax2 + bx + c = 0, a ≠ 0 if aα2 + bα + c = 0. 
• We also say that x = α is a solution of the quadratic equation, or that α satisfies the quadratic equation. 
• Note that the zeroes of the quadratic polynomial ax2 + bx + c and the roots of the quadratic equation ax2 + bx + c = 0 are the same.
• To find the roots of the quadratic equation using the factorisation method you have to write the quadratic equation in product form/ factor form. Here’s an example for you:

Suppose you have to find the roots of a quadratic equation: 6x2 – x – 2 = 0. We will start by splitting the middle term of the quadratic equation. 

6x2 – x – 2 = 0

6x2 + 3x - 4x – 2 = 0

3x(2x+1) -2 (2x +1) =0

(3x-2) (2x+1) = 0

 

Equating the two factors with 0, we get,

3x-2 =0 

3x= 2

x=2/3

 

2x+1 =0 

2x = -1 

x = -1/2

 

So, the two roots of the given quadratic equation are 2/3 and -1/2. Can you verify whether this solution is right or not? All you have to do is place one root in place of x in the equation and see if it equals 0. Similarly, follow the same procedure for the other root. You can otherwise check our NCERT Solutions to learn this procedure. 

Download Free NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.2 

 

Ex 4.2 Q1: In the first question, you are given 5 quadratic equations. You have to find their roots by the factorisation method. This is a basic question that will help you understand how to apply the factorisation method in solving quadratic equations. 

 

Ex 4.2 Q2: In this question, you have to solve the quadratic equations given in Example 1 of the chapter. The first example includes two different word problems. You have to read them carefully and formulate quadratic equations. Then, you have to find their roots. This could be a little tricky for some students on the first go. Our NCERT Solutions will help you master how to solve this question correctly. 

 

Ex 4.2 Q3: In this question, you have to find two numbers whose sum is 27 and the product is 182. Do you know how to solve such questions? Don’t worry, our NCERT Solutions include stepwise explanations for this question. 

 

Ex 4.4 Q4: In this question, you have to find two consecutive integers sum of whose squares is 365. You have to formulate a quadratic equation and find its roots in order to solve this question correctly. 

 

Ex 4.4 Q5: In this question, you are given that the altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, you have to find the other two sides of the triangle. Check our NCERT Solutions for Ex 4.2 to understand how to solve this question correctly. 

 

Ex 4.4 Q6: This is a word-problem type question. In this question, you are given that a cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was rupees 90, you have to find the number of articles produced and the cost of each article. 

 

Key Features of NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.2: 

• The NCERT Solutions are created by subject matter experts based on the latest CBSE exam pattern and guidelines. 
• The answers provided for each question are checked at least twice by our experts ensuring that every answer is correct. 
• The solutions are presented in a step by step format, making it easier for you to grasp the concepts of the exercise. 
• The solutions are self-explanatory. This means you need no further guidance to understand these solutions. 
• You can study these solutions at your own pace whenever you want. 

 

Download exercise-wise solutions for NCERT Class 10 Maths Chapter 4: 

 

• NCERT Chapter 4 Class 10 Maths Ex 4.1 Solutions - 2 Questions
• NCERT Chapter 4 Class 10 Maths Ex 4.2 Solutions - 6 Questions
• NCERT Chapter 4 Class 10 Maths Ex 4.3 Solutions - 11 Questions
• NCERT Chapter 4 Class 10 Maths Ex 4.4 Solutions - 5 Questions

NCERT Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2 FAQs

 

1. How many questions are there in Ex 4.2 of Class 10 Maths Chapter 4 Quadratic Equations? 

Exercise 4.2 includes 6 questions. All these questions are based on finding the roots of a quadratic equation using the factorisation method. 

 

2. How many exercises are there in Class 10 Maths Chapter 4 Quadratic Equations? 

Chapter 4 Quadratic Equations of NCERT Class 10 Maths book includes 4 exercises. Ex 4.1 includes 2 questions. Ex 4.2 includes 6 questions. Ex 4.3 includes 11 questions. Ex 4.4 includes 5 questions. 

 

3. What is a quadratic equation in Class 10? 

According to the NCERT Class 10 Maths Chapter 4, a quadratic equation in the variable x is of the form ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0.