Last Updated on April 15, 2025 by XAM CONTENT
Hello students, we are providing case study questions for class 10 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 10 maths. In this article, you will find case study questions for CBSE Class 10 Maths Chapter 4 Quadratic Equations. It is a part of Case Study Questions for CBSE Class 10 Maths Series.
| Chapter | Quadratic Equations |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 10 |
| Subject | Maths |
| Unit | Unit 2 Algebra |
| Useful for | Class 10 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 10 Maths Chapterwise Case Study |
Case Study Questions on Quadratic Equations
Questions
Passage 1:
The speed of a motorboat is 20 km/h. For covering the distance of 15 km, the boat took 1 hour more for upstream than downstream.
Based on the above information, solve the following questions:
Q. 1. If speed of the stream is x km/h, then find quadratic equation for the speed of the stream.
Q. 2. What is the speed of stream?
Q. 3. How much time boat took in downstream?
Or
How much time boat took in upstream?
Answers
1. x2 + 30x – 400 = 0
2. Speed of the stream is 10 km/h.
3. Time taken by motorboat to go upstream = 90 minutes
Question 2:
A school wants to fence a rectangular garden. The length of the garden is 4 meters more than its width. If the area of the garden is 96 m², find the dimensions of the garden using a quadratic equation.
Q1. Let the width of the garden be $x$ meters. What is the length
(a) $x+4$
(b) $x-4$
(c) $2 x+4$
(d) $x+2$
Q2. Which equation represents the area?
(a) $x(x+4)=96$
(b) $x(x-4)=96$
(c) $2 x+4=96$
(d) $x^2+4=96$
Q3. What are the dimensions of the garden?
(a) $8 \mathrm{~m} \times 12 \mathrm{~m}$
(b) $6 \mathrm{~m} \times 16 \mathrm{~m}$
(c) $10 \mathrm{~m} \times 10 \mathrm{~m}$
(d) $9 \mathrm{~m} \times 11 \mathrm{~m}$
Answers:
Q1. (a)
Q2. (a)
Q3. (a)
Also check
- Arithmetic Progressions Class 10 Case Study Questions Maths Chapter 5
- Quadratic Equations Class 10 Case Study Questions Maths Chapter 4
- Pair of Linear Equations in Two Variables Class 10 Case Study Questions Maths Chapter 3
- Polynomials Class 10 Case Study Questions Maths Chapter 2
- Real Numbers Class 10 Case Study Questions Maths Chapter 1
Topics from which case study questions may be asked
- Standard Form of a Quadratic Equation
- Solutions of Quadratic Equations
- By Factorization
- Using the Quadratic Formula
- Relationship Between Discriminant and Nature of Roots
- Situational Problems Based on Quadratic Equations
Case study questions based on above topics may be asked.
Frequently Asked Questions (FAQs) on Quadratic Equations Case Study
Q1: What is a quadratic equation?
A1: A quadratic equation is a polynomial equation of degree 2 in the form $a x^2+b x+c=0$, where $a \neq 0$, and $a, b, c$ are real numbers.
Q2: What are the methods to solve a quadratic equation in Class 10?
A2: There are three methods to solve a quadratic equation in Class 10:
(i) Factorization
(ii) Completing the Square
(iii) Quadratic Formula
Q3: What is the quadratic formula?
A3: The quadratic formula is
$$
x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}
$$
used to solve any quadratic equation $a x^2+b x+c=0$.
Q4: What is the discriminant in a quadratic equation?
A4: The discriminant $D=b^2-4 a c$ determines the nature of roots of a quadratic equation:
– If $D>0$ : Real and distinct roots
– If $D=0$ : Real and equal roots
– If $D<0$ : No real roots (imaginary)
Q5: What is the condition for real and equal roots in quadratic equations?
A5: The discriminant $D=b^2-4 a c$ determines the nature of roots of a quadratic equation:
– If $D>0$ : Real and distinct roots
– If $D=0$ : Real and equal roots
– If $D<0$ : No real roots (imaginary)
Q6: Can all quadratic equations be solved by factorization?
A6: No. Only those equations that can be factorized into linear terms easily can be solved by factorization. Otherwise, the quadratic formula is used.
Q7: Are there any online resources or tools available for practicing “Quadratic Equations” case study questions?
A7: We provide case study questions for CBSE Class 10 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
