NCERT Maths Class 11:
Unanswerable Maths problems can be enough for a week’s worth of bad hair days, we know. Below we detail the content of each solution set for NCERT Maths Class 11, which can be used for reference when you get stuck. Each solution set breaks down problems and presents understandable answers, so you can better your Maths skills as you go. Read on to find a brief description of what each chapter in NCERT maths class 11 is about.
Chapter 1 – Sets
When a collection of objects is well defined, the collection is considered a set. A set is defined by an existing rule, with which it is possible to determine whether an object is a part of a set and whether a collection constitutes a set. Problems and solutions in this set go over how to ascertain whether a collection is set, how sets are represented using symbols, different types of sets, algebra of sets and power sets, and Venn diagrams.
Chapter 2 – Relations and Functions
Functions serve as the relation between a set of inputs, and possible outputs given those inputs. This chapter spans a variety of problems related to mathematical functions, including the Cartesian product of sets, types of relations, domains and ranges, and congruence.
Chapter 3 – Trigonometric Functions
This chapter covers problems and their respective solutions, including the systems used for measuring angles (sexagesimal and circular), ratios of angles, series, equations, and methods and algorithms to find principal value.
Chapter 4 – Principles of Mathematical Induction
Mathematical induction is a technique used to prove a variety of mathematical statements, in terms of n, a positive integer. There are a wider array of problems and solutions in this chapter, where the Principle of Mathematical Induction is used to solve short and long answer questions.
Chapter 5 – Complex Numbers and Quadratic Equations
This set of solutions explores how to express complex numbers in a + iy form, find multiplicative inverses of complex numbers, and use the quadratic formula to derive solutions to given equations.
Chapter 6 – Linear Inequalities
Using the <,>, <, or > symbols to denote inequalities between two real numbers or algebraic equations, this set of questions and answers explores inequalities that are linear.
Chapter 7 – Permutations and Combinations
This solution set covers the multiplicative and additive principles of counting, factorials, division into groups, permutations (the number of different arrangements made by taking some or all of a list of given items, where order is of importance), and combinations (number of different groups or selections made, where order is of no importance), integral solutions, sum of digits, arrangements, and selection.
Chapter 8 – Binomial Theorems
When n is equal to any positive integer, it is considered a binomial theorem. This solution set goes through topics including the middle term when expanding (1 + x)n, the greatest term, greatest coefficient, divisibility problems, the multinomial theorem, and R-f Factor relations.
Chapter 9 – Sequences and Series
This chapter covers the problems and solutions related to arithmetic progression and includes answers to problems that test sequencing and progression, the sum of n terms, finding the arithmetic mean, geometric progression and geometric mean, various types of progressions, and inequalities in means.
Chapter 10 – Straight Lines
This segment contains solutions to problems pertaining to the distance formula, section formula, centroid, incentre and excentre, the area of a triangle, finding and using the slope, collinearity of three points, position of the point, parallel lines, angles between two straight lines, the family of straight lines, and homogenization.
Chapter 11 – Conic Sections
Problems and solutions in this section focus on the equation of conic, parabolas, forms of parabolas, and position of a point, a chord, the equation of tangent, equation of normal, director circle, the equation of diameter, pole, and polar.
Chapter 12 – Introduction to 3D Geometry
The problems and solutions in this section are the starts to three-dimensional geometry. The problems in this segment include locating points on axes, finding coordinates, finding ratios, collinearity, and parallelism and perpendicularity.
Chapter 13 – Limits and Derivatives
This chapter serves as the introduction to calculus for class 11 students. Limits are used find values of a function nearing some values. Derivatives and limits are also used for finding slopes of any curve and can be used for problem-solving in mathematics and the sciences. The problems and solutions in this set focus on using the properties of limits and derivatives.
Chapter 14 – Mathematical Reasoning
The solutions in this segment focus on a variety of mathematical reasoning principles, including reasoning mathematical statements, negations, true and false of mathematic statements, and contrapositives and converses of statements.
Chapter 15 – Statistics
This set of problems and solutions focus on various statistical components. Problems range from mean and mean deviation, class intervals and frequency, variance, to standard deviation.
Chapter 16 – Probability
The problems and answers in this chapter focus on the probability and outcome of various experiments, predicting the odds, possible permutations and combinations of outcomes, and ascertaining probability when events are and are not mutually exclusive.