 # NCERT Exemplar Class 11 Maths

NCERT Exemplar Class 11 Maths solutions are designed by our expert faculty members for students of secondary and higher secondary classes. These NCERT Maths exemplar problems for Class 11 aim at providing students with a variety of quality problems in various formats with varying difficulty levels. It covers all the important theorems and formulae with detailed explanations to promote a better conceptual understanding in students. The questions provided in these books can offer an excellent boost to study thoroughly and score well during examinations and tests.

NCERT Exemplar textbooks play an important role in the preparation of the board as well as competitive examinations. The Class 11 NCERT Maths Exemplar Solutions are prepared in accordance with the latest CBSE syllabus. All the solutions are explained in a detailed manner helping the students to enhance their reasoning and analytical skills instead of memorizing the concepts.

## Class 11 Maths NCERT Exemplar Problems with Solutions

Class 11 Maths Exemplar Solutions contain detailed and step by step explanations to all questions given in the NCERT Class 11 Exemplar Maths textbook. For each and every problem, solutions are provided to ensure a thorough understanding of concepts with proper equations, tables, formulae wherever required.

NCERT Exemplar Class 11 Maths Chapter 1 – Sets

In this chapter, students will learn about various concepts related to sets, representation of sets, types of sets such as finite set, subset, infinite set, empty set, universal sets, power sets and equal sets, intervals as subsets of R, and the operations performed on them that is the intersection of sets, the difference of sets, complements of sets and union of sets with the help of Venn diagrams. Also, will solve different types of problems based on individual topics and classified sets.

NCERT Exemplar Class 11 Maths Chapter 2 – Relations and Functions

In chapter 2, relations and functions, deal with linking pairs of elements from two sets and then introduces relations between the two elements in the pair. We are going to solve problems based on cartesian products of sets, some more relations and functions problems with graph representation and also understand the concepts of algebra of real functions, definition and meaning of identity function, constant function, polynomial function, rational function, modulus function, signum functions and greatest integer function via illustrations.

NCERT Exemplar Class 11 Maths Chapter 3 – Trigonometric Functions

In this chapter exemplar for topics related to trigonometric functions, the relation between degree and radian, domain and range of trigonometric functions, sine, cosine, and tangent of some angles less than 90°, allied or related angles, functions of negative angles, some formulae regarding compound angles, trigonometric equations, angles measured in degrees and radians and general solution of trigonometric equations. Also, learn the relation between a degree and radian, sum and difference of two angles based on trigonometric functions, and more.

NCERT Exemplar Class 11 Maths Chapter 4 – Principle of Mathematical Induction

Chapter 4 Principle of Mathematical Induction will have exemplar problems and solutions based on the principle of mathematical induction and motivation.

NCERT Exemplar Class 11 Maths Chapter 5 – Complex Numbers and Quadratic Equations

The exemplar problems and solutions for chapter 5 has been given to understand the concepts based on complex numbers, imaginary numbers, integral power of ‘i’, and the operations performed on them like multiplication, division, addition, and subtraction. Also learn different related concepts like the power of I, the conjugate of complex numbers, modulus of a complex number, properties of modulus of a complex number, square roots of negative numbers, polar representation of complex number, and argand plane, etc.

NCERT Exemplar Class 11 Maths Chapter 6 – Linear Inequalities

Exemplar questions for this chapter are based on inequalities, solution of an inequality, representation of the solution of a linear inequality in one variable on a number line, algebraic representation, and graphical representation of linear inequalities in one variable and two variables. Solve these questions and get through the concepts of linear inequalities.

NCERT Exemplar Class 11 Maths Chapter 7 – Permutations and Combinations

In chapter 7, Permutations and Combinations, we will be solving exemplar problems based on permutations, factorial notations for both combinations and permutations, multiplication principle (Fundamental Principle of Counting), addition principle. Also, we can learn about the concept of permutations when all the objects are distinct and non-distinct.

NCERT Exemplar Class 11 Maths Chapter 8 – Binomial Theorem

This chapter consists of exemplar problems based on Binomial theorem concepts and also for positive integral indices, binomial coefficient, general and middle terms. Learn and solve the problems related to this chapter 8 and understand the concepts in a better way.

NCERT Exemplar Class 11 Maths Chapter 9 – Sequence and Series

In this chapter, you will learn about the sequence and series concepts in Mathematics. The concepts such as arithmetic progression, geometric progression, important results on the sum of special sequences, and the relation between the arithmetic mean and geometric mean are also explained with solved examples.

NCERT Exemplar Class 11 Maths Chapter 10 – Straight Lines

In this chapter, students will learn about different concepts related to straight lines such as the slope of a line, the angle between two lines, collinearity of three points, various forms of the equation of a line, general equation of a line, locus and equation of locus, intersection of two given lines, equations formed by the line, distance of a point from a line, etc. Also, will solve problems based on these straight lines concepts.

NCERT Exemplar Class 11 Maths Chapter 11 – Conic Sections

Conic sections chapter will be covering topics like sections of the conic section, sections of a cone, and also about the circle, parabola, hyperbola and ellipse, based on which different types of exemplar problems are solved here.

NCERT Exemplar Class 11 Maths Chapter 12 – Introduction to Three Dimensional Geometry

In this chapter, you will solve exemplar problems for Coordinate axis and coordinate planes in three dimensions, coordinate of a point in space, a sign of coordinates of a point, distance formula to find the distance between two points in space and also, problems on section formula in three dimensions.

NCERT Exemplar Class 11 Maths Chapter 13 – Limits and Derivatives

In this chapter, we are going to solve exemplar problems based on limits, limits of a function, properties of limits, limits of polynomials and rational functions, derivatives, and algebra of derivatives of functions. You will also get the Intuitive idea of derivatives. Also, learn to find the concepts of limits of trigonometric functions.

NCERT Exemplar Class 11 Maths Chapter 14 – Mathematical Reasoning

Chapter 14 will teach you about mathematical reasoning based on statements formation from old to the new one, Negation, and validation of statements and concepts of Quantifiers, Implications, contrapositive, and converse, etc.

NCERT Exemplar Class 11 Maths Chapter 15 – Statistics

Statistics is a chapter that is taught not only in Class 11 but also its concepts are widely used in higher classes and in real-life applications. The exemplars for this chapter will be based on range, finding mean deviation, variance deviation, standard deviation, and also related to frequency distributions.

NCERT Exemplar Class 11 Maths Chapter 16 – Probability

In chapter 16, probability, the concepts of random experiments performed and the outcomes we get are explained very nicely. The exemplars will be based mostly on events and their types, then the algebra of events occurring and more of the problems based on the occurrence of various types of events.

Before solving the Class 11 Maths NCERT exemplar problems, it is important for the students to go through the Maths Class 11 syllabus. The exemplar solutions given above can help the students to clear their doubts and prepare themselves for the exam in a better way. The NCERT exemplar questions not only help for board exam preparation but also for different competitive exams like JEE. Students are advised to follow the NCERT Class 11 books and solutions on a regular basis to get in-depth knowledge about all the concepts covered in the syllabus.

### Benefits of NCERT Exemplar Solutions for Class 11 Maths

• The solutions provided in NCERT Exemplar Solutions are offered in a step by step approach for a comfortable and better understanding of concepts.
• It also provides explanatory diagrams and tables for comparative study, which creates an interest in learning.
• These solutions facilitate the students to build a good knowledge of basic as well as advanced mathematical concepts. It also helps students in retaining and quickly retrieving the concepts.
• Students get detailed study material on topics from Class 11 Math.
• These solutions are prepared by our BYJU’S expert team, focusing completely on accuracy.

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