CBSE Ch 9 Important Questions Class 12 Maths 2025 PDF

Lesson Plan

Class 12 Chapter 9 Maths Important Questions contains various topics that are asked every year in board examinations. In this chapter, you study various concepts like general and particular solutions, the formation of a differential equation whose general solution is provided, and methods of solving first-order or first-degree differential equations. 

Differential Equations is a crucial topic in the Class 12 Mathematics syllabus, covering key problems related to calculus and its applications in physics, engineering, economics, and other scientific fields. Mastering this concept is essential for students aiming to excel in board exams and competitive exams like JEE, NEET, and others.

To strengthen their understanding and problem-solving skills, students should practise important and additional questions from the Differential Equations chapter. These questions are carefully designed to enhance comprehension, improve accuracy, and refine problem-solving abilities.

PREMIUM EDUCART QUESTIONS

<cta2> Download <cta2>

(Most Important Questions of this Chapter from our 📕)

In the table below, we have provided the links to Differential Equations Class 12 Maths Most Important Questions with Solutions PDFs for Chapter 9. You can download them without having to share any login info.

TYPES OF QUESTIONS IMPORTANT QUESTION PDFs
VSA (1 Mark) Download
SA (4 Marks) Download
LA (6 Marks) Download

Topics Covered in This Chapter

The Class 12 Mathematics chapter on Differential Equations covers several fundamental concepts. Below are the key topics included:

Basics of Differential Equations:

  • Definition and meaning of differential equations
  • Understanding the order and degree of a differential equation

Formation of Differential Equations:

  • Converting a given function into a differential equation
  • Eliminating constants to form differential equations

Methods of Solving Differential Equations:

  • Variable separable method – Solving equations where variables can be separated
  • Homogeneous differential equations – Transforming variables into a specific format for solving
  • Linear differential equations – First-order linear differential equations and their solutions
  • Exact differential equations – Identifying and solving equations that satisfy exactness conditions

Applications of Differential Equations:

  • Problems related to growth and decay
  • Modelling population growth in biological systems
  • Newton’s Law of Cooling
  • Electro-mechanical system applications

Important Formulas and Theorems:

  • Common integrals used in solving differential equations
  • Key formulas based on different solution techniques

Higher-Order Differential Equations:

  • Introduction to second-order differential equations, which are essential for competitive exams

This chapter provides a strong foundation in differential equations, helping students develop problem-solving skills crucial for board exams and entrance tests like JEE and NEET.

Why Students Should Download Important Questions

Downloading Class 12 Differential Equations important questions offers several advantages for students. Here are some key reasons why it is beneficial:

Access to a Well-Prepared Question Bank

Along with a collection of important questions, students receive a structured question bank that includes a range of problems, from basic to advanced levels, ensuring comprehensive preparation.

Identify Commonly Asked Questions

Board exam questions often follow specific patterns. Practising these important questions helps students recognise frequently asked questions, making it easier to solve similar problems in the actual exam.

Reduce Exam Anxiety

A well-organised set of important questions helps students revise efficiently, reducing last-minute stress and allowing for a more structured and confident approach to exam preparation.

Exposure to Different Problem-Solving Approaches

By working through these questions, students gain experience with multiple problem-solving techniques, making them more adaptable to different question types in exams.

Complete Chapter Coverage

Practising important questions ensures that students thoroughly cover all essential concepts in the syllabus, leaving no gaps in their understanding.

Downloading and practising these questions is a smart strategy for improving accuracy, efficiency, and confidence before exams.

Benefits of Downloading Important Questions

Downloading Class 12 Differential Equations important questions offers several advantages for students. Some key benefits include:

Saves Time in Preparation

Instead of searching multiple sources for important questions, students can access a well-compiled set, providing them with a structured and efficient study plan.

Covers Exam-Oriented Questions

These questions are carefully selected based on previous years’ papers and exam trends, ensuring students focus on the most relevant problems.

Aids in Quick Revision

Having a collection of crucial questions makes last-minute revision easier, helping students reinforce key concepts without missing any important topics.

Improves Accuracy and Speed

Regular practice enhances problem-solving speed and accuracy, which is essential for performing well in exams.

Boosts Confidence

Solving a variety of important and extra questions helps students feel more prepared and confident when facing the actual exam.

By downloading these important questions, students can optimise their preparation and increase their chances of scoring higher in exams.

How to Effectively Use Important Questions for This Chapter

To make the most of Class 12 Differential Equations important questions, follow these preparation strategies:

Attempt Questions by Topic

Use a structured approach—start with basic questions before moving on to advanced ones. This gradual progression strengthens problem-solving techniques and builds confidence.

Follow a Step-by-Step Approach

Write complete solutions with all steps clearly explained. This practice ensures you don’t lose marks for missing important details, especially in board exams.

Identify and Improve Weak Areas

While solving extra questions, pay attention to recurring mistakes and focus on correcting them. This will help in refining your accuracy.

Solve a Variety of Questions

Make sure to cover different types of questions, including:

  • Conceptual understanding
  • Application-based problems
  • Derivations and proofs
  • Higher-order thinking questions

Take Mock Tests & Self-Assessments

After completing important questions, attempt mock tests to assess your preparation. This helps identify areas that need further improvement.

How to Score High Marks in This Chapter

Scoring well in Differential Equations requires a strategic approach. Follow these tips to maximise your marks:

Master the Basics

Ensure you have a strong understanding of fundamental concepts, including definitions, types of differential equations, order, degree, and standard forms.

Practise Important Questions Daily

Regularly solving different types of questions helps in mastering various problem-solving techniques and prepares you for exam-level challenges.

Prioritise NCERT and Extra Questions

NCERT exercises form the foundation for board exams, so complete all textbook problems. Additionally, practise extra and advanced questions from reference books for a deeper understanding.

Learn Common Methods for Solving Differential Equations

Familiarise yourself with key solution techniques, such as:

  • Variable separable method
  • Homogeneous equations
  • Linear differential equations
  • Exact differential equations

These methods ensure you can tackle any question with confidence.

Manage Time and Improve Speed

Solve problems within a time limit to enhance your speed. Practising previous years' papers and mock tests can help in improving efficiency and accuracy.

Revise Formulas Regularly

Create a master sheet of important formulas and revise them daily. Understanding the logic behind each formula makes problem-solving easier.

Practise Board and Competitive Exam Questions

Review past board exam papers to familiarise yourself with the pattern and difficulty level. If you’re preparing for JEE or other entrance exams, solving higher-difficulty questions will boost your confidence.

Differential Equations is a key chapter in Class 12 Mathematics, and diligent practice is essential for success. Working on important and extra questions ensures thorough preparation, covering all critical concepts.

Downloading these questions provides a structured study plan that enhances accuracy, problem-solving skills, and confidence. If you’re preparing for board exams or competitive tests, following the strategies in this guide will help you achieve excellent marks. Start early and stay consistent for the best results! 🚀We hope that you practice the above Differential Equations Class 12 Maths Extra Questions and achieve your dream marks.

All the best!

book image

Buy Latest Books

teacher image

Teacher's Specimen