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Notes Class 11 Maths Chapter 5 Linear Inequalities

Notes For All Chapters Maths Class 11 CBSE Inequation A statement involving variables and the sign of inequality viz. >, <, ≥ or ≤ is called an inequation or an inequality. Numerical Inequalities Inequalities which do not contain any variable is called numerical inequalities, e.g. 3 < 7, 2 ≥ -1, etc. Literal Inequalities Inequalities […]

Notes Class 11 Maths Chapter 4 Principle of Mathematical Induction

Notes For All Chapters Maths Class 11 Principle of Mathematical Induction Mathematical induction is one of the techniques, which can be used to prove a variety of mathematical statements which are formulated in terms of n, where n is a positive integer. Let P(n) be given statement involving the natural number n such that (i) […]

Notes Class 11 Maths Chapter 1 Sets

Notes For All Chapters Maths Class 11 CBSE Set A set is a well-defined collection of objects. Representation of Sets There are two methods of representing a set Roster or Tabular form In the roster form, we list all the members of the set within braces { } and separate by commas. Set-builder form In […]

Notes Class 12 Maths CBSE

Relations and Functions Notes Chapter 1 Maths Class 12 Inverse Trigonometric Functions Notes Chapter 2 Maths   Class 12 Matrices Notes Chapter 3 Maths  Class 12 Determinants Notes Chapter 4 Maths Class 12 Continuity and Differentiability Notes Chapter 5 Maths  Class 12 Application of Derivatives Notes Chapter 6 Maths Class 12 Integrals Notes Chapter 7 Maths […]

Notes Class 12 Maths Chapter 12 Linear Programming

Notes For All Chapters Maths Class 12 CBSE Linear Programming Problem: A linear programming problem is one in which we have to find optimal value (maximum or minimum) of a linear function of several variables (called objective function) subject to certain conditions that the variables are non-negative and satisfying by a set of linear inequalities with […]

Notes Class 12 Maths Chapter 1 Relations and Functions

Notes For All Chapters Maths Class 12 CBSE Relation: A relation R from set X to a set Y is defined as a subset of the cartesian product X × Y. We can also write it as R ⊆ {(x, y) ∈ X × Y : xRy}. Note: If n(A) = p and n(B) = q […]

Class 11 Maths Formulas All Chapter PDF Download CBSE

Chapter 1 Sets  Chapter 2 Relations and Functions Chapter 3 Trigonometric Functions Chapter 4 Complex Numbers and Quadratic Equations Chapter 5 Linear Inequalities Chapter 6 Permutations and Combinations Chapter 7 Binomial Theorem Chapter 8 Sequences and Series  Chapter 9 Straight Lines Chapter 10 Conic Sections Chapter 11 Introduction to Three-Dimensional Geometry Chapter 12 Limits and […]

Class 7 Maths Formulas All Chapter PDF Download CBSE

Chapter 1 Maths Formulas Class 7 Integers Formulas Chapter 2 Maths Formulas Class 7 Fractions and Decimals Formulas Chapter 3 Maths Formulas Class 7 Data Handling Formulas Chapter 5 Maths Formulas Class 7 Lines and Angles Formulas Chapter 6 Maths Formulas Class 7 The Triangle and Its Properties Formulas Chapter 7 Maths Formulas Class 7 […]

Class 9 Maths Formulas All Chapter PDF Download CBSE

Chapter 1  Number Systems Formulas Chapter 2  Polynomials Formulas Chapter 3  Coordinate Geometry Formulas Chapter 4  Linear Equations in Two Variables Formulas Chapter 5  Introduction to Euclids Geometry Formulas Chapter 6  Lines and Angles Formulas Chapter 7  Triangles Formulas Chapter 8  Quadrilaterals Formulas Chapter 9 Circles Formulas Chapter 10 Heron’s Formula Formulas Chapter 11 Surface […]

Class 12 Maths Formulas All Chapter PDF Download CBSE

Chapter – 1  Relations and Functions Formula Chapter – 2  Inverse Trigonometric Functions Formula Chapter – 3  Matrices Formula Chapter – 4  Determinants Formula Chapter – 5  Continuity and Differentiability Formula Chapter – 6  Application of Derivatives Formula Chapter – 7  Integrals Formula Chapter – 8  Application of Integrals Formula Chapter – 9  Differential Equations […]

Class 10 Maths Formulas All Chapter PDF Download CBSE

Chapter 1  Real Numbers Formulas Chapter 2  Polynomials Formulas Chapter 3  Pair of Linear Equations in Two Variables Formulas Chapter 4  Quadratic Equations Formulas Chapter 5  Arithmetic Progressions Formulas Chapter 6  Triangles Formulas Chapter 7  Coordinate Geometry Formulas Chapter 8  Introduction to Trigonometry Formulas Chapter 10  Circles Formulas Chapter 11 Areas Related to Circles Formulas […]

CBSE Class 10 Maths Real Numbers Formulas

S. No Type of Numbers Description 1 Natural Numbers N = {1,2,3,4,5  > It is the counting numbers 2 Whole number W= {0,1,2,3,4,5> It is the counting numbers + zero 3 Integers All whole numbers including Negative number + Positive number  ……-4,-3,-2,-1,0,1,2,3,4,5… so on. Like whole numbers, integers don’t include fractions or decimals. 4 Positive integers Z+ = […]