Class 12^th Math Case Study Question with Solution

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CBSE Class 12 Maths Case Study

Our CBSE Class 12 Maths Case Study page offers a detailed approach to solving case study-based questions across various chapters such as Calculus, Probability, Matrices, and more. These case study questions help students understand the application of mathematical concepts in real-life scenarios, enhancing problem-solving skills and exam preparation. With expert solutions and practice questions, students can boost their confidence and perform better in the CBSE Class 12 Maths exams. Access structured learning materials and improve your understanding of important topics

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Class XII Math Case Study with solution

Chapter 1 Relations and Functions
Chapter 2 Inverse Tigonometric Functions
Chapter 3 Matrices
Chapter 4 Determinants
Chapter 5 Continuity and Differentiability
Chapter 6 Application of Derivatives
Chapter 7 Integrals
Chapter 8 Applications of Integrals
Chapter 9 Differential Equations
Chapter 10 Vector Algebra
Chapter 11 Three Dimensional Geometry
Chapter 12 Linear Programming
Chapter 13 Probability

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CBSE Class 12 Maths Case Study: A Comprehensive Guide to Success

Case study-based questions have become an essential part of the CBSE Class 12 Maths exam. These questions test not just theoretical knowledge but also the application of concepts in real-world scenarios. Whether you're preparing for topics like Calculus, Probability, Matrices, or Vectors, mastering the Case Study Method in Class 12 Maths is crucial for securing high marks.

In this article, we will explore CBSE Class 12 Maths Case Study questions, provide practice material, solutions, and tips on how to approach these questions effectively.

What is a Case Study Question in Class 12 Maths?

Case study-based questions in Class 12 Maths are designed to assess your ability to apply mathematical concepts to real-life situations. These questions typically come with a scenario that contains one or more mathematical problems related to concepts from topics such as Calculus, Probability, Matrices, Vectors, and Linear Programming. Solving these questions requires analytical thinking and a deep understanding of the topic.

How to Solve Case Study Questions for CBSE Class 12 Maths

To successfully solve CBSE Class 12 Maths Case Study Questions, follow these steps:

1. Read the Case Study Carefully: Understand the given scenario and identify which mathematical concepts are involved.


2. Break Down the Problem: Analyze the situation and break the problem into smaller, manageable parts.


3. Apply Relevant Formulas and Theorems: Use the appropriate mathematical concepts, such as differentiation or integration for Calculus, or matrices operations for questions on Matrices.


4. Show Step-by-Step Solutions: Ensure that your answer is clear and follows a logical order. This is crucial for earning full marks.


5. Check Your Calculations: Verify that all your calculations are accurate, especially when solving Probability or Vectors problems.

Practice Case Study Questions for Class 12 Maths

To excel in CBSE Class 12 Maths, it is important to practice a variety of Case Study Questions. Here are some examples:

1. Case Study on Calculus:

A company uses a mathematical model to determine the rate at which their products are produced. Given the production function $f(x) = x^3 - 5x + 2$ , calculate the rate of change of production at $x = 3$ .

Solution: To solve this, apply the differentiation formula:

$$f'(x) = 3x^2 - 5$$

Substitute $x = 3$ to find the rate of change.

2. Case Study on Probability:

In a factory, 5% of the manufactured items are defective. If 3 items are selected at random, what is the probability that exactly one item is defective?

Solution: Use the Binomial Distribution Formula:

$$P(X = k) = \binom{n}{k} p^k (1 - p)^{n-k}$$

where $n = 3$ , $k = 1$ , and $p = 0.05$ .

3. Case Study on Vectors:

A vector $\vec{A}$ represents the displacement of an object in a straight line from point $P(1, 2, 3)$ to point $Q(4, 5, 6)$ . Find the vector $\vec{A}$ .

Solution: Subtract the coordinates of $P$ from those of $Q$ :

$$\vec{A} = (4 - 1, 5 - 2, 6 - 3) = (3, 3, 3)$$

4. Case Study on Matrices:

A company has three departments, and their productivity matrix is $A = \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 2 \\ 0 & 5 \end{pmatrix}$ . Calculate the product $A \times B$ .

Solution: Multiply the matrices:

$$A \times B = \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \times \begin{pmatrix} 1 & 2 \\ 0 & 5 \end{pmatrix}$$

5. Case Study on Linear Programming:

Maximize the objective function $Z = 3x + 2y$ subject to the constraints:

$$x + y \leq 4, \quad x \geq 0, \quad y \geq 0$$

Solution: Use graphical methods or the Simplex method to find the optimal values of $x$ and $y$ .

FAQs About CBSE Class 12 Maths Case Study

1. What are Case Study Questions in Class 12 Maths?

Case study questions assess your ability to apply mathematical concepts to real-world problems. These questions cover various topics like Calculus, Probability, and Matrices.

2. How Do I Prepare for Case Study Questions in Class 12 Maths?

Practice solving a variety of case study questions from different topics. Focus on understanding how the concepts can be applied in real-world situations.

3. What Topics Are Covered in Case Study Questions for CBSE Class 12 Maths?

Topics include Calculus, Matrices, Probability, Vectors, and Linear Programming, among others.

4. Are Case Study Questions Difficult?

They can be tricky, but with regular practice and a clear understanding of the concepts, you can master them. Always practice step-by-step solutions and stay calm during exams.

5. How Can I Solve Case Study-Based Questions Quickly?

By practicing regularly and understanding the underlying concepts, you can increase your speed and accuracy. Focus on problem-solving strategies and time management.

Mastering CBSE Class 12 Maths Case Study Questions requires understanding the application of mathematical concepts in practical situations. By practicing a variety of questions and focusing on topics like Calculus, Matrices, Probability, and Vectors, you can strengthen your problem-solving skills and improve your exam performance. Start practicing today with the resources available and watch your understanding of CBSE Class 12 Maths Case Study grow!