NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.4 is the best study guide available online. These stepwise solutions provided by askIITians Maths experts will help solidify your concepts and prepare you well for the board examination. Exercise 4.4 of NCERT Class 10 Maths Chapter 4 is about the nature of the roots of a quadratic equation. It is a guarantee that one question from this exercise will be asked in the board examination. So, just download the NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.4 and start practising. In case of any confusion, our comprehensive explanations will guide you on how to solve the questions of this exercise.
For any quadratic equation in the form of ax2 + bx + c = 0, b2 - 4ac is known as its discriminant. This discriminant is used to find out the nature of the roots of the quadratic equation.
The roots of a quadratic equation, ax2 + bx + c = 0 are given by:
x = (-b ± b2 - 4ac) )/ 2a
If b2 - 4ac > 0, the two roots are given by:
Root 1: -b/2a + b2 - 4ac)/ 2a
Root 2: -b/2a - b2 - 4ac)/ 2a
If b2 - 4ac = 0, then the roots are given by:
Root 1: x = -b/2a
Root 2: x = -b/2a
Types of questions included in NCERT Class 10 Maths Chapter 4 Exercise 4.4:
Ex 4.4 Q1: In this question, you are given three quadratic equations. You have to find the nature of the roots of the quadratic equations and also find the roots if real roots exist. Our NCERT Solutions include stepwise explanations of this question.
Ex 4.4 Q2: In this question, you are given two quadratic equations with an unknown value k. You have to find the value of k such that the equation has two equal roots. If you know the formula of how to find two equal roots of a quadratic equation, you can apply this question and find its solution.
Ex 4.4 Q3: It is a word-problem type of question. You must read it carefully. In this question, you have to find whether it is possible to design a rectangular mango grove whose length is twice its breadth and the area is 800 metres square. Check our NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.4 to find how to solve this question correctly.
Ex 4.4 Q4: In this question, you are given a situation that “the sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.” You have to find out whether this situation is possible or not. You must know how to formulate quadratic equations based on this question. Our NCERT Class 10 solutions provide stepwise explanations for this question.
Ex 4.4 Q5: This is the last question of this exercise. In this question, you have to find whether it is possible to design a rectangular park with a perimeter of 80 m and an area of 400 metres square. If possible, you have to find its length and breadth. Check our NCERT Solutions to find out how to form the quadratic equation in this question.
NCERT Class 10 Maths Chapter 4 Quadratic Equations includes topics like how to find the solution to a quadratic equation using factoring and completing the square methods, and how to identify the nature of the roots of a quadratic equation. These two main topics should be prepared well for the class 10 board examination. This is why askIITians Maths experts have provided easy to understand NCERT Solutions for you.
Important features of NCERT Class 10 Maths Chapter 4 Ex 4.4 Solutions:
Download the exercise solutions of all the NCERT exercises of Chapter 4 Questions from askIITians for free:
NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.1
NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.2
NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.3
NCERT Solutions for Class 10 Maths Chapter 4 Ex 4.4
NCERT Class 10 Maths Chapter 4 Ex 4.4 includes 5 questions about the nature of roots of a quadratic equation.
The discriminant of a quadratic equation is given by the formula: b2 — 4ac.
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