# HOTS & IMPORTANT QUESTIONS MATHEMATICS CLASS 12 CBSE

Preparing for the Class 12th mathematics exam can be a daunting task for many students. However, by understanding the key concepts and focusing on the most important topics, students can improve their chances of success. This book is designed for students who want to brush up their concepts at last moment and searching for most important questions for class 12 exam. This book contains some of the hots and important questions for Class 12 mathematics that students should be familiar with.

One of the most important topics in Class 12 mathematics is Calculus. Calculus is a branch of mathematics that deals with the study of rates of change and accumulations of quantities. It is divided into two main branches, Differential Calculus and Integral Calculus. Students should be familiar with the concepts of limits, derivatives, and integrals and be able to apply them to solve problems.

Another important topic in Class 12 mathematics is Vector Algebra. Vector algebra is a branch of mathematics that deals with the manipulation of vectors. Students should be familiar with the concepts of vectors, scalars, vector addition, vector subtraction, and vector multiplication.

Three-dimensional geometry is another key topic in Class 12 mathematics. Three-dimensional geometry deals with the study of shapes and figures in three-dimensional space. Students should be familiar with the concepts of points, lines, planes, and space.

Linear Programming is another important topic in Class 12 mathematics. Linear programming is a method used to optimize a linear objective function, subject to constraints represented by linear equations or inequalities. Students should be familiar with the concepts of linear programming and be able to apply them to solve problems.

Probability is the last key topic in Class 12 mathematics. Probability is the branch of mathematics that deals with the study of random events. Students should be familiar with the concepts of probability, random variables, and probability distributions.

In conclusion, Class 12 mathematics is a challenging subject that requires a lot of hard work and dedication. However, by focusing on the key concepts and using this book on HOTS and important questions on mathematics for class 12 , students can improve their chances of success. The above topics are hots and important questions that are frequently asked in the exam. It is essential for students to be familiar with these concepts and practice solving problems related to them. With proper preparation and practice, students can excel in their Class 12th mathematics exam.

#### Frequently Asked Questions (FAQ’s)

**Q: What are HOTS and important questions in mathematics for Class 12?**

A: HOTS stands for Higher Order Thinking Skills and important questions are the questions that are frequently asked in the exams. These questions are designed to test students’ understanding of key concepts and their ability to apply them to solve problems.

**Q: Why are Calculus, Vector Algebra, Three-dimensional geometry, Linear Programming and Probability considered important topics in Class 12 mathematics?**

A: These topics are considered important because they are fundamental concepts in mathematics and are frequently tested in the Class 12 exams. They also have a wide range of applications in various fields such as engineering, physics, and economics.

**Q: How can understanding HOTS and important questions in mathematics improve my performance in the Class 12 exam?**

A: By understanding and practicing HOTS and important questions, students can improve their problem-solving skills, critical thinking, and ability to apply mathematical concepts to real-world problems. This will enable them to perform well in their Class 12 exam.

**Q: What are some examples of HOTS and important questions in Calculus for Class 12?**

A: Examples of HOTS and important questions in Calculus for Class 12 include: Evaluating the limit of a function as x approaches a certain value, Finding the derivative of a function with respect to x, Solving a definite or indefinite integral of a function.

**Q: How can I prepare for Vector Algebra and Three-dimensional geometry for the Class 12 exam?**

A: To prepare for Vector Algebra and Three-dimensional geometry for the Class 12 exam, students should focus on understanding the key concepts, practicing solving problems related to these topics, and reviewing any formulas or definitions that are specific to these topics.

**Q: What are the key concepts in Linear Programming and Probability that I should be familiar with for the Class 12 exam?**

A: Key concepts in Linear Programming include: Formulating a linear programming problem, using the simplex method to solve a linear programming problem, using the graphical method to solve a linear programming problem. Key concepts in Probability include: Finding the probability of an event occurring, finding the expected value of a random variable, finding the variance of a random variable.

**Q: How can I practice solving HOTS and important questions in mathematics for Class 12?**

A: To practice solving HOTS and important questions in mathematics for Class 12, students can work through practice problems and problems in sample papers, and attend mock tests and model tests.

**Q: How can I ensure that I am covering all the HOTS and important questions in mathematics for Class 12?**

A: To ensure that you are covering all the HOTS and important questions in mathematics for Class 12, students should refer to the NCERT Exemplar Problems Solutions Mathematics Class 12th book, which contains a wide range of problems and solutions that cover all the important topics in mathematics.

**Q: Is there any specific resource or book that I should refer to for preparing HOTS and important questions in mathematics for Class 12?**

A: Our E-Book on HOTS & Important Questions mathematics class 12 is a great resource for preparing for HOTS and important questions in mathematics for Class 12.

**Q: How much weightage do HOTS and important questions carry in the Class 12 mathematics exam?**

A: The weightage given to HOTS and important questions may vary depending on the specific exam. However, typically these types of questions carry a significant weightage in the overall examination, so it is important to be well prepared for them.