Important Questions for Class 11 MathsJEE Mains & Advanced
Class 11 is an important stage in students' education journey as it creates a base for advanced study in further classes. To excel in class 11 maths exams, students must have a solid foundation and deep understanding of core concepts of all the chapters covered in class 11 maths NCERT textbook. One of the effective ways to prepare for exams is by solving important questions provided by subject experts of eSaral which cover all the significant topics and sub-topics of class 11 maths. Important questions of class 11 maths provided by eSaral have developed questions chapter-wise. This will help you to strategize your preparation in an effective manner for the annual examinations.
In class 11 maths important questions, you will explore the various questions which are explained with solutions. All the solutions of these questions are explained with a step by step method that helps you to understand the concepts precisely and effectively. Class 11th maths important questions have covered various terms, properties, theorems and derivatives which are essential to comprehend to solve questions in final exams. Our expert faculties of mathematics have elaborated these terms and concepts in easy to understand language that will aid to prepare well for examinations.
Class 11 maths important questions are also made available here in free PDF format. You can download these PDFs from the official website of eSaral and start preparing for exams. We have not only provided important questions PDF but also their solutions so that you get answers PDF for all the important questions which are essential for exam point of view. Students are advised to practice these important questions of class 11 maths on a regular basis to enhance their understanding and problem-solving skills to achieve desired results in exams.
Benefits of Solving CBSE Class 11 Maths Important Questions
The syllabus of class 11 maths is vast including various topics and sub-topics. Important questions for class 11 maths developed by eSaral have included questions which are crucial for exam point of view. Solving these questions can help you to understand the topics and concepts in an effective manner to ace the examination. Check out below some essential benefits of solving CBSE class 11 maths important questions.
Conceptual Clarity - Practicing class 11 maths important questions helps you to grasp an understanding of fundamental concepts of maths. These important questions are carefully curated to cover different aspects of concepts that enable you to clarify doubts and prepare well for final exams.
Application of Theoretical Knowledge - In class 11 maths syllabus, there are various important concepts, and theories which need to be understood for solving questions effectively. Important questions for class 11 maths provided on eSaral have applied all the theoretical knowledge in these questions to understand the concepts easily. This application-oriented approach helps in deepening the knowledge of theories by solving important questions.
Helps In Exam Preparation - By practicing important questions or extra questions in class 11 maths, students get an idea of exam pattern and question format. These important questions have included questions which may be asked in the actual exam. Solving important questions on a regular basis helps you to improve your time management skills and boost your confidence.
Identify Weak Areas - Practicing class 11 maths important questions enables you to identify weak areas. When you solve important questions provided on eSaral, you get to revise the topics and get aware of the areas that require extra attention and practice. This helps you to focus and strategize your preparations accordingly.
- Comprehensive Revision - Important questions of class 11 maths have included questions based on essential topics and sub-topics. Solving important questions will help you to revise all the vital topics and concepts. You will build a strong understanding of concepts by revising the topics frequently.
How to Solve Class 11th Maths Questions to score more marks?
To score higher marks in class 11 maths exams, you need to solidify your fundamental knowledge of concepts and problem-solving skills. With the right resources and strategies, you can prepare well for class 11 maths examination. Before you appear for the main exam, you must study and learn the basic concepts mentioned in all the chapters. It is important for students to be well-versed with the fundamentals of various topics of class 11 maths to solve questions with ease.
Our subject experts of eSaral have developed important questions for class 11 maths. You must solve these questions as problems included in it are important from exam point of view and may be asked in final exams. Important questions provided on eSaral are crafted after analyzing the syllabus and previous year question papers. Practicing these questions frequently will help you to enhance your time management skills and boost your confidence. Class 11th maths important questions with answers are available here in PDF format which can be downloaded from eSaral website to prepare for exams.
Students should also solve all the exercises included in chapters of class 11 NCERT maths book. This will aid you to understand the concepts, utilizing the formulas and theorems in an effective manner. You can achieve a desired result in class 11 maths exam by following the above tips. Regular practice and perseverance are the key to score full marks in class 11 maths examination.
Overview of CBSE Class 11 Maths Chapters Details
Class 11 maths NCERT syllabus is comprehensive and covers a wide range of chapters. CBSE class 11 maths includes a total of 14 chapters, ensuring that you develop a comprehensive understanding of mathematical concepts. Each chapter included in class 11 maths syllabus introduces the key concepts which are essential for you to grasp the fundamentals to solve questions without being confused. Here, our experts of mathematics have provided an overview of CBSE class 11 maths chapters which are as follows.
Chapter 1: Sets - Class 11 maths chapter 1 Sets introduces sets and their representations, the empty set and its definition, finite and infinite sets and its definition, equal sets and its definition, subsets and its definition, subsets of set of real numbers, intervals as subsets of R. Then, you will learn universal set, venn diagrams, operations on sets, union of sets, some properties of the operation of union, intersection of sets, some properties of operation of intersection, difference of sets, complement of a set, some properties of complement sets. This chapter has a total of 5 exercises and one miscellaneous exercise which must be solved to understand the concepts deeply.
Chapter 2: Relations and Functions - Chapter 2 Relations and Functions covers important topics like cartesian products of sets and its definition, relations and its definitions, functions and its definitions, some functions and their graphs, algebra of real functions. To score good marks in this chapter, you need to have a good grasp of all the concepts of relations and functions. There are various questions and examples included in exercises of chapter 2. You can solve them to utilize the concepts which are mentioned above.
Chapter 3: Trigonometric Functions - In chapter 3 Trigonometric Functions, you will study the introduction of trigonometric functions, angles, degree measure, radian measure, relation between radian and real numbers, relation between degree and radian. This chapter also includes topics like trigonometric functions, sign of trigonometric functions, domain and range of trigonometric functions, trigonometric functions of sum and difference of two angles. You must also solve the questions included in 3 main exercises and one miscellaneous exercise of chapter 3 so that you understand the concepts more precisely.
Chapter 4: Complex Numbers and Quadratic Equations - In class 11 maths chapter 4 Complex Numbers and Quadratic Equations introduces complex numbers, algebra of complex Numbers, addition of two complex numbers, difference of two complex numbers, multiplication of two complex numbers, division of two complex numbers, power of i, the square roots of a negative real number. Then, you will study some identities of complex numbers, the modulus and the conjugate of a complex number, argand plane and polar representation.
Chapter 5: Linear Inequalities - In chapter 5 Linear Inequalities, you will study linear inequalities in one and two variables. This chapter introduces some essential topics such as inequalities and its definition, algebraic solutions of linear inequalities in one variable and their graphical representation with examples to understand these topics precisely. There are one main exercise and one miscellaneous exercise which have included questions based on linear inequalities. You must solve these questions to have a better understanding of concepts.
Chapter 6: Permutations and Combinations - Chapter 6 Permutations and Combinations is an important segment in class 11 maths syllabus. You have to be well-versed with the topics and sub-topics of this chapter. Chapter 6 Permutations and Combinations covers topics like fundamental principle of counting, permutations and its definition, permutations when all the objects are distinct, factorial notation, derivation of the formula for nPr, permutations when all the objects are not distinct objects. Then, you will study combinations and its definition. Class 11 maths chapter 6 has described some vital theorems based on Permutations and Combinations which you must understand to solve questions based on these theorems. Also, there are some exercises as well as miscellaneous exercises, including questions that should be solved before appearing for exams.
Chapter 7: Binomial Theorem - Class 11 maths chapter 7 Binomial Theorem is essential from exam point of view. Students should grasp all the concepts of binomial theorem described on eSaral. This chapter has introduced binomial theorem and some related concepts here. You will study binomial theorem for positive integral indices, Pascal’s Triangle which is vital to understand as questions are asked from this topic in examination. Binomial theorem for any positive integer n, Some special cases are also elaborated in detailed manner to gain a deep knowledge of these concepts. Chapter 7 Binomial Theorem has included one main exercise and one miscellaneous exercise having questions based on the topics that we have discussed above.
Chapter 8: Sequences and Series - Chapter 8 Sequences and Series is all about various types and methods of sequences and series. In this chapter, you will learn sequences and its definition, finite and infinite sequences, Fibonacci sequence in detail. Chapter 8 will also teach you about the series and its applications, geometric progression (G. P.), general term of a G.P, sum to n terms of a G.P., geometric mean (G.M.), relationship between A.M. and G.M. In chapter 8 Sequences and Series has a total of two exercises and one miscellaneous exercise which you should solve to have a good grasp of concepts.
Chapter 9: Straight Lines - Class 11 maths chapter 9 Straight Lines has included topics like introduction to straight lines, slope of a line and its definitions, slope of a line when coordinates of any two points on the line are given which has two cases to define the slope of a line. Conditions for parallelism and perpendicularity of lines in terms of their slopes, angle between two lines, various forms of the equation of a line, horizontal and vertical lines, point-slope form, two-point form, Slope-intercept form, intercept - form, distance of a point from a line, distance between two parallel lines are defined in detailed form to provide a better understanding of straight lines concepts. This will help you to solve questions without making errors. Find 3 main exercises and one miscellaneous exercise including questions in chapter 9 to get a proper understanding of concepts.
Chapter 10: Conic Sections - Chapter 10 Conic Sections seems tough for some students of class 11. Thus, students need proper attention on topics and sub-topics of conic sections. In chapter 10 Conic Sections, you will learn some essential curves like circles, ellipses, parabolas and hyperbolas. There are some other topics such as sections of a cone- circle, ellipse, parabola and hyperbola, degenerated conic sections, detail explanation of circle with its definition, detail explanation of parabola with its definition, standard equations of parabola, latus rectum and its definition, detail knowledge of ellipse and its definition, relationship between semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse, eccentricity and its definition, standard equations of an ellipse, latus rectum of an ellipse, detail knowledge of hyperbola with its definition, eccentricity of hyperbola, standard equation of hyperbola, latus rectum of hyperbola. Solve all the exercises of chapter 10 to be well-versed with all the vital topics of Conic Sections.
Chapter 11: Introduction to Three Dimensional Geometry - Class 11 maths chapter 11 Three Dimensional Geometry is one of the important chapters to score higher marks in exams. Chapter 11 Three Dimensional Geometry includes the introduction of 3d geometry, coordinate axes and coordinate planes in three dimensional space, coordinates of a point in space, distance between two points. These are significant topics to prepare for class 11 maths annual exam. Understand the concepts precisely so you don’t miss any questions in exam and score good marks. This chapter has two main exercises along with a miscellaneous one which have questions based on the concept of three dimensional geometry. You should solve all the questions of these exercises to utilize the concepts of 3d geometry.
Chapter 12: Limits and Derivatives - Chapter 12 Limits and Derivatives is an introduction to Calculus. In chapter 12 Limits and Derivatives, firstly you will learn the intuitive idea of derivative, definition of limits and algebra of limits. Some essential topics we cover in chapter 12 are intuitive idea of derivatives, limits and its definition, algebra of limits, limits of polynomials and rational functions, limits of trigonometric functions and some important theorems related to limits. You will also study derivatives and its definitions, algebra of derivative of functions, derivative of polynomials and trigonometric functions and there are theorems based on derivatives. Don’t miss to solve questions and examples included in two exercises and one miscellaneous exercise to grasp the deep knowledge of limits and derivatives.
Chapter 13: Statistics - Class 11 maths chapter 13 Statistics in a scoring chapter. You need to have a good hold on the concepts and formulas to attempt all the questions related to statistics in final exams. Chapter 13 Statistics covers topics like measures of dispersion, range and its formula, mean deviation and its formula, mean deviation for ungrouped data and its formulas, mean deviation for grouped data, you will study two methods of mean deviation for grouped data. There is also a shortcut method for calculating mean deviation about mean. Then, you will get to learn the limitations of mean deviation, variance and standard deviation, the detailed explanation of standard deviation, standard deviation of a discrete frequency distribution, standard deviation of a continuous frequency distribution, another formula for standard deviation, there is a shortcut method to find variance and standard deviation. Two main exercises along with one miscellaneous exercise are also covered for practicing questions to score higher marks in examinations.
Chapter 14: Probability - To achieve desired score in class 11 maths chapter 14 Probability, students must be well-versed with the concepts of probability. This chapter teaches you what an event is and other various terms related to the event. In chapter 14 Probability, you will be learning about the event and its definition, occurrence of an event, types of events like impossible and sure events, simple event, compound event, algebra of events, complementary event, mutually exclusive events, exhaustive events, axiomatic approach to probability, probability of an event, probabilities of equally likely outcomes and its formula, probability of the event ‘A or B’, probability of event ‘not A’. There are two exercises and one miscellaneous exercise along with questions. Practice these questions for better preparation of exams.
Why is eSaral the Best Platform for Class 11 Maths Online Classes?
Among the plethora of online education platforms, eSaral stands out as the best platform for class 11 maths exam preparation. eSaral not only provides education for different classes but also tracks the progress of individual students. Class 11 maths has a huge syllabus with various topics like sets and functions, algebra, calculus etc. Each topic has been described in a detailed way by the subject experts of eSaral. Here, we have included some reasons why eSaral is the best platform for class 11 maths online classes.
Live Doubt Solving Classes - eSaral provides live audio-video doubt solving classes for class 11 maths students where they can interact with teachers to clarify their doubts regarding any maths topic and strengthen the conceptual understanding. This process enhances the learning experience.
Comprehensive Study Material - Our experienced teachers of mathematics have designed a comprehensive study material for mathematics. You will get to solve sample papers of maths, revision notes for better preparation, and important questions based on some vital topics of maths which are essential for exam point of view. All the important topics of mathematics have been explained by subject experts of eSaral in an easy to understand language. You will be able to solve any mathematics questions with the help of these study materials.
Engaging Video Lectures - One of the key strengths of eSaral is its engaging video lectures. Our expert faculties of mathematics use innovative and interactive methodologies to simplify the complex topics and sub-topics which helps students to understand the concepts deeply. Teachers of eSaral utilize the visuals to make the learning process effective as well as enjoyable.
Personalized Academic Mentor - eSaral assigns a personal academic mentor to each student who tracks their progress and helps them to score good marks in class 11 maths exams. These personal mentors not only assist you in your studies but also motivate and guide you to achieve your goals.
Easy Notes and Practice Sheets - Mathematics seems tough for students of class 11 but here on eSaral you will get easy notes and practice sheets having important questions with solutions which are vital for annual exams. By practicing these sheets and notes, you will get to understand the concepts easily and precisely.
Frequently Asked Questions
Answer 1. Important questions of class 11 maths provided on eSaral are designed by the academic team of mathematics. These important questions have included problems which are essential from an exam point of view. By solving these important questions students will be able to revise all the significant topics and sub-topics of maths. This process will build a strong conceptual understanding and ultimately enhance your score in the final exam. You must practice important questions of class 11 maths before appearing for exams.
Answer 2. Class 11 maths chapter 10 Conic Sections cover topics such as sections of a cone, circle, ellipse, parabola and hyperbola, degenerated conic sections, circle and its definition, parabola and its definition, standard equations of parabola, latus rectum of parabola, ellipse and its definition, relationship between semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse, eccentricity of ellipse, standard equations of an ellipse, latus rectum of ellipse, hyperbola and its definition, eccentricity of hyperbola, standard equation of hyperbola, latus rectum of hyperbola. This chapter is one of the important chapters of class 11 maths. Students are advised to prepare well on all the topics of Conic Sections to score higher marks.