Probability Class 11th Chapter 16 defines probability as a measure of the degree of uncertainty in specific events. This can be defined using two basic sorts of theories: classical probability theory and statistical probability approach. Students in Class 11 can also learn about the axiomatic approach to probability through appropriate examples. Probability can be found in a variety of real-life situations. For example, "it will most likely snow today", "fuel costs are likely to rise”, "Siddhant will most likely join the school", and so on.

Class 11 Maths Chapter 15 Statistics is one of the most significant chapters in CBSE class 11 Mathematics, which has been covered properly in NCERT Solutions for Class 11 Maths Chapter 15 Statisticsby MSVGo. Because students are likely to be introduced to these topics for the first time, it is critical that the fundamental principles are understood right away. Statistics is a mathematical term that entails the collection, analysis and presentation of data for a specific goal. It is usually applied to a smaller set of data or sample set to get insightful results as working with a larger set of data involves higher costs and a lot of extra time. Statistics is useful in the fields of economics, psychology, business and social studies, so understanding various concepts of Class 11 Maths Chapter 15 Statistics becomes important. NCERT Solutions for Class 11 Maths Chapter 15 Statistics helps students learn the various methods to solve the questions in this chapter. It assists students to comprehend the different types of questions that may appear in the exam.

Having clarity in the concepts of Class 11 Maths Chapter 14 is vital for scoring excellent marks in CBSE Term – II exams. The Mathematical Reasoning NCERT questions are often asked in different competitive exams also. Therefore, it is imperative to have a strong command of this topic.  NCERT Solutions for Class 11 Maths Chapter 14 includes all essential questions from the latest NCERT textbooks. The Mathematical Reasoning NCERT solutions are prepared by our highly experienced subject experts as per the updated term-wise CBSE Syllabus 2021-22. These solutions help build an in-depth and fundamental conceptual understanding of the subject quickly. You can refer to these NCERT Solutions during your exam preparations as they are easy to comprehend. We intend to clear all your doubts regarding Mathematical Reasoning and have answered a few frequently asked questions at the end.

Although in a primitive form, Calculus is covered in Class 11 CBSE and is an essential subject in the curriculum. The topics include function derivatives and integrals. We also cover Chapter 13 Class 11 Maths NCERT Solutions here.

Limits and Derivatives are incredibly important topics in mathematics that have applications in math and other subjects, such as physics. In this article, you will find most concepts pertaining to NCERT Solutions For Class 11 Maths Limits And Derivatives, as well as their properties and formulae. 

Class 11 Maths Limits and Derivatives is an important chapter that requires thorough preparation. We have tailored our Class 11 Maths NCERT Solutions Limits And Derivatives to meet the students’ needs. In this chapter, many aspects of Limits and Derivatives are explored. The Chapter 13 Class 11 Maths NCERT Solutions format follows a step-by-step procedure that aids in comprehending the topics.

All of the core principles are elaborated in Class 11 Maths Chapter 13 NCERTSolutions. These solutions will help you in understanding every problem of your NCERT Textbook.

Topics covered in this Chapter: (Content Table)

Three-dimensional geometry is one of the most important topics in Mathematics. In this chapter, you will be introduced to all important topics of three-dimensional geometry, including the cartesian coordinate system, distance formula to find the distance between two points, and section formula. The 3D Geometry Class 11 NCERT Solutions are curated by our highly experienced subject experts to help you develop a sound understanding of the fundamental concepts of this chapter.  It is essential to have strong fundamental concepts of 3D geometry if you want to score good marks in the CBSE Maths exam and other competitive exams, including JEE Mains and BITSAT. These Class 11 Maths Introduction To Three Dimensional Geometry NCERT Solutions are in accordance with the latest update on term-wise CBSE Syllabus 2021-22. The detailed solutions cover all important terms, theorems, and formulae of each topic of this chapter. Additionally, a few frequently asked questions are answered at the end.

If you’re looking for NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections, you have come to the right place. Here, we have explained all the topics included in this chapter as per the latest (2021-22) CBSE term-wise syllabus of Class 11. These solutions and detailed descriptions of the topics will help prepare and score good marks for the second-term Maths exam. These solutions have been developed such that they render a comprehensive understanding of each topic. We aim to help students grasp even the most complex math concepts with ease. This chapter talks about the different types of curves and their standard equations.

Mathematics is a highly scoring subject, and you can master it if your fundamentals are strong. Therefore, it is essential to have a complete understanding of the concepts and then move on to solving numerical problems based on the concept. Through these NCERT solutions, we will help you understand each topic included in this chapter, and at the end, we will also answer a few frequently asked questions. In addition, you will learn more about the terms associated with curves and the related formulas.

A straight line is a part of coordinate geometry. A straight line is defined as a line that travels in only one direction—positive or negative—without bending at any point, or it can be defined as the shortest distance between two points. This chapter is very important for students from the examination point of view.  Although it's not tough to understand this chapter, it could be troublesome if your concepts are unclear.

Class 11 maths syllabus consists of some of the most exciting and essential topics that act as the basis for your future studies if appropriately understood. The chapters are formulated keeping in mind their practical use. NCERT is one of the best books to prepare for class 11 maths. Sequence and Series in Chapter 9 of the NCERT book is one of the most crucial chapters in the syllabus. The chapter involves arithmetic mean, geometric mean, arithmetic progression, geometric progression, their general terms, the sum of series, and a few class 11 Maths NCERT solutions. With the assistance of definition, theory, formulas, and examples, you can learn the application of sequence and series. This article brings to you all the information that you need regarding Sequence and Series along with some Class 11 Maths Chapter 9 NCERT Solutions. Read the full article to get a firm hold on the concepts in this chapter!

Class 11 Maths Ch 8 is on the Binomial Theorem according to the latest NCERT math syllabus. This Binomial Theorem is a method of expanding an algebraic expression that is raised to any finite degree. It is an important concept in Class 11 NCERT maths that helps simplify large expressions containing a high exponential power. A binomial expression also contains two dissimilar algebraic terms. For instance, a+b or a^3+b^6, etc. 

As this power or exponent increases, simplifying algebraic expressions becomes quite cumbersome. Binomial properties of the terms help us simplify such large and lengthy mathematical problems with relative ease.

The Binomial Theorem can be fundamentally represented by the following expression:

Assuming that n ∈ N, x,y ,∈ R then,

(x + y)n = nΣr=0 nCr xn – r · yr where,

Consider the following scenario: You have a bag with a number lock. The number lock comprises four wheels, each with ten digits ranging from 0 to 9. The lock can be opened if four precise digits are put in a specific order with no repeat. You've somehow forgotten this particular numerical sequence. Only the first digit, 7, is remembered. How many 3-digit sequences will you have to e x amine to open the lock? To solve this question, begin by making a list of all conceivable combinations of the 9 remaining digits, three at a time. However, this procedure will be tiresome because the number of alternative sequences is likely to be huge. Permutations and combinations formulas are important for you to understand such concepts.

We'll learn some fundamental counting procedures in this chapter that will allow us to solve this issue without listing 3-digit groupings. Similar methods can be used to determine the number of distinct ways to arrange and pick things without listing them. As a first step, we'll look at a principle that's critical to understanding these strategies. NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations is important to understand as it will help in grasping some basic concepts. You can refer to NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations to get multiple ways of solving a problem.

NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities are an important portion of mathematics. It is quite easy to score if your basic concepts are clear in this chapter. Linear inequalities are mathematical problems where relativity is gauged using ‘<’, ‘>’, ‘<=’, ‘>=’ operators instead of the ‘=’ or the equality operator. In other words, linear inequalities are similar to linear equations in algebra, but there is a major difference. When you multiply or divide both sides of an ‘inequal’ equation with the same negative number, the inequality reverses. Whereas in linear equations, there is no change to the equality operator. 

For instance, 4x - 6  > 90 is a linear inequation. You can solve this expression as if the ‘>’ sign is an equal sign to get the value of ‘x’.   In this inequation, we first add +6 to both sides. We will get 4x > 96. Next, we divide both sides by 4 to arrive at our final answer x > 4. This means that the value of x is greater than the integer 4 until infinity. All in all, NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities are relatively simple. You can also follow NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities NCERT solutions for more such examples. 

The real and imaginary parts of a complex number equation make up the equation. There is nothing complex about complex numbers, simply the sum of two integers (real, imaginary). Imaginary numbers, on the other hand, provide a negative result when they are squared.

The equation (a + xb) is an example of this. In this case, the real component of a and the imaginary portion of b comprise a complex number in class 11 complex numbers and quadratic equations.

In algebra, a quadratic equation consists of the squares of a single variable, named after the term quad, which means square. It is sometimes referred to as a 'two-degree equation' (because of x2).

The standard form of a quadratic equation appears as follows in complex numbers and quadratic equations:

In the equation format, ax²+bx+c=0, where a, b, and c are all known values in the equation and x is a variable. With the same theory, one can easily find the Complex Numbers And Quadratic Equations Class 11 Solutions.

NCERT Solutions for Chapter 4 Principle of Mathematical Induction are prepared by the highly experienced faculty of the MSVGo. To make students learn the concepts of principles of mathematical induction in a detailed manner, all the questions given in the exercise are solved in a step-by-step way. Our subject experts have formulated theNCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction by following the CBSE prescribed guidelines to assist students to score maximum marks in the examination and pass with flying colours.

The word ‘trigonometry’ is derived from the Greek words ‘trigon’ and ‘metron', and it means ‘measuring the sides of a triangle’. The subject was originally developed to solve geometric problems involving triangles. Trigonometry is an essential section of mathematics; trigonometric functions and identities are used in solving most mathematical problems. If students don't have a clear understanding of this chapter, they will face trouble in solving questions of other chapters too. In class 10, basic knowledge of trigonometric identities and applications is already taught to students. In Class 11 trigonometry, students will learn about trigonometric ratios and functions and their properties. From an examination point of view also, this chapter is important.

The topic of Relations and Functions for Class 11 Maths covers significant portions for preparation for competitive exams. You will learn about the Cartesian product of sets and the topics of relations and functions. We usually understand relations as the loving relations between siblings, couples, teachers, and students. The word has a somewhat similar meaning in Maths. The term relates the numbers, symbols, variables, sets, etc., to other groups and sets. For example, U is a subset of set V and denotes the relation of U and V. U is a function whose link to V is like an operand between two quantities. This relation is operated between two quantities to yield output. NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions introduces you to many such operands. 

A set can be understood as a collection of objects or elements. Different operations can be carried out on sets. Functions and relations help you connect two different sets.

Sets is the first chapter covered under the new NCERT syllabus Class 11 maths. As a basic concept in mathematics, Sets are basically a technique to group together similar objects, classify various such groups and define relations shared between them. Sets can be made of practically anything. However, for any group or collection to be adjudged a set in terms of maths, the set's range or contents need to be well defined.

For example, all months in the calendar starting with J, all letters in the English Alphabet system, and all integers within a given range are examples of a set. However, collections such as the most talented artists globally and the most brilliant minds in India that do not have a well-defined range cannot be called a set. Sets are diagrammatically represented using Venn Diagrams.