Representation of a Set | Class 11 Math Notes Study Material Download Free PDF
What are the Sets in Mathematics? Sets are defined as the collection of well-defined data. In Math, a Set is ...
Read moreTypes Of Sets-Empty Set, Non-Empty Set, Finite Set, Infinite Set, Singleton Set, Equivalent Set, Subset, Superset, Power Set, Universal Set | Class 11 Math Notes Study Material Download Free PDF
A well-defined collection of Objects or items or data is known as a set. The objects or data are known ...
Read moreUniversal Set: Definition, Symbol, Venn Diagram & Solved Examples | Class 11 Math Notes Study Material Download Free PDF
Universal Set is a set that has all the elements associated with a given set, without any repetition. Suppose we have ...
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Venn Diagrams are used for the visual representation of relationships as they provide a clear, visual method for showing how ...
Read moreOperations on Sets-Union of Sets, Intersection of Sets, Difference of Sets, Complement of Sets | Class 11 Math Notes Study Material Download Free PDF
Sets are fundamental in mathematics and are collections of distinct objects, considered as a whole. In this topic, we will ...
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Union of two sets means finding a set containing all the values in both sets. It is denoted using the ...
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In set theory, the cartesian product of two sets is the product of two non-empty sets in an ordered way. ...
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Product mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product ...
Read moreRelations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF
Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three ...
Read moreReflexive Relations-Definition, Formula, Types, Examples | Class 11 Math Notes Study Material Download Free PDF
Reflexive Relation is a mathematical or set-theoretical relation in which every element is related to itself, meaning that for every ...
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Symmetric relation is a type binary relation in discrete Mathematics defined on sets. Which satisfies that if aRb exists then ...
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Antisymmetric Relation is a type of binary relation on a set where any two distinct elements related to each other ...
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Transitive Relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to ...
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Equivalence Relation is a type of relation that satisfies three fundamental properties: reflexivity, symmetry, and transitivity. These properties ensure that ...
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A relation is a subset of the cartesian product of a set with another set. A relation contains ordered pairs ...
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Inverse Relation: An inverse relation is the opposite of a given relation obtained by interchanging or swapping the elements of ...
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Composition of Relations is a mathematical concept that links elements across different sets by combining multiple relations. This powerful tool ...
Read moreWhat is a Function | Definition, Representation, Types, Solved Examples, FAQs
What is a Function ? A function is a special relation or method connecting each member of set A to ...
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In mathematics, a function represents a relationship between a set of inputs and their corresponding outputs. Functions are fundamental in ...
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Functions are defined as the relations which give a particular output for a particular input value. A function has a ...
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One to One Function or One-One Function is one of the types of functions defined over domain and codomain and ...
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Onto Function is one of the many types of functions defined based on the relationship between its domain and codomain. ...
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Bijective Function is a special type of function that represents the relationship between two sets in such a way that ...
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Many-to-One or Many One Function is one of the various types of functions that represent relationships between different entities. As ...
Read moreMeasuring Angles(Class 11 Math Trigonometry)-Types of Angles, Degrees & Radians Formula, Examples & FAQs
Measurement of angles is very important in geometry for solving various geometrical problems and comparing angles in various geometrical figures. ...
Read moreTrigonometric Functions(Class 11 Math)-Formula, Graph, Domain & Range, Derivative & Integration, Examples, FAQs
Trigonometric Functions, often simply called trig functions, are mathematical functions that relate the angles of a right triangle to the ...
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The following equalities in trigonometry will be used in the upcoming discussion to establish a relation between the sum and ...
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Trigonometric Identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric Identities are true for ...
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Trigonometry is one of the major topics in Maths subject. Trigonometry deals with the measurement of angles and sides of ...
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NCERT Solutions for Class 11 Maths Chapter Trigonometric Functions Exercise 3.1 1. Find the radian measures corresponding to the following ...
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Trigonometric Functions relate the angles and sides of a right triangle. Trigonometric functions, such as sine (sin), cosine (cos), tangent ...
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To sketch the trigonometry graphs of the functions – Sine, Cosine and Tangent, we need to know the period, phase, ...
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Trigonometric equations are mathematical expressions that involve trigonometric functions (such as sine, cosine, tangent, etc.) and are set equal to ...
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Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal ...
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Height and distance is an important topic from competitive examination point of view. You must have seen the problems where ...
Read moreComplex Numbers | MCQs, Assertion & Reason, Case Study, Formulas, FAQs, Examples, Practice Questions
Complex numbers are an essential concept in mathematics, extending the idea of numbers to include solutions for equations that don’t ...
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MCQs for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations with Answers 1. The value of 1 + ...
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Complex numbers can be expressed as a combination of real and imaginary numbers. The standard notation of a complex number ...
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JEE Main Maths Complex Numbers & Quadratic Equations Previous Year Questions With Solutions Question 1: If (1 + i) (1 ...
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Complex Numbers Class 11 Problems with Solutions 1. Write the complex number i9 + i19 in the form of a ...
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Read morePolar Representation of Argand Plane-Properties & Solved Examples, FAQs, Important Questions, Worksheets, free pdf download
Argand plane is a mathematical concept used to graphically represent complex numbers. It is similar to the Cartesian coordinate system ...
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Argand Plane We all know that the pair of numbers (x, y) can be represented on the XY plane, where ...
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Read moreArithmetic Mean (AM) Formula-Sum of n Arithmetic Means between Two Numbers a & b, Solved Examples
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Read moreRelation Between AM, GM & HM Formula(AM x HM = GM2)-Proof of AM ≥ GM ≥ HM, Solved Examples, FAQs
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Read moreBinomial Theorem | Formula, Proof, Binomial Expansion & Solved Examples, Practice Problems
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Read moreCo-Ordinate Geometry | Distance Formula, Mid-Point Formula, Section Formula, Slope Formula, Area of Triangle, Centroid of Triangle, Collinearity of Three Points | Solved Examples, FAQs
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Read morePoint Slope Form of Straight Lines | Solved Examples, FAQs, Important Problems
Class 11 Mathematics | Written by Neeraj AnandPublished by ANAND TECHNICAL PUBLISHERS Introduction The point-slope form of a straight line ...
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Class 11 Mathematics | Written by Neeraj Anand Published by ANAND TECHNICAL PUBLISHERS Slope-intercept form is a special case of ...
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Class 11 Mathematics | Written by Neeraj AnandPublished by ANAND TECHNICAL PUBLISHERS Introduction The standard form of a straight line ...
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Class 11 Mathematics | Written by Neeraj Anand Published by ANAND TECHNICAL PUBLISHERS Introduction The intercept form of a straight ...
Read moreTwo Point Form of Equation of Line Formula | Solved Examples | Practice Problems, FAQs, Important Questions
Class 11 Mathematics | Written by Neeraj Anand Published by ANAND TECHNICAL PUBLISHERS Introduction The equation of a straight line ...
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Introduction The normal form of the equation of a line is a special way to represent a straight line using ...
Read moreRelation between Two Lines | Parallel, Perpendicular, Angle, Length of Perpendicular from a Point on a Line, Angular Bisector of Straight lines, Family of Lines
Relation between Two Lines Let L1 and L2 be the two lines as L1 : a1x + b1y + c1 = ...
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Introduction The point of intersection of two lines is a fundamental concept in coordinate geometry. It refers to the exact ...
Read moreDistance Between Point & Line | Distance Between Two Parallel Lines | Solved Examples
Class 11 Mathematics | Written by Neeraj Anand Published by ANAND TECHNICAL PUBLISHERS Introduction In coordinate geometry, understanding the concept ...
Read moreSlope of Line | Slope for Parallel Lines, Perpendicular Lines, Collinearity, Angle between Two Lines, Positive and Negative Slope, Solved Examples
Class 11 Mathematics | Written by Neeraj Anand Published by ANAND TECHNICAL PUBLISHERS Introduction to the Slope of a Line ...
Read moreStandard Forms of Equation of Circles | Diameter Form, Polar Form, Parametric Form of Circle | Equation of Circle Touching X-axis, Y-axis, Both axis
Define Circle A circle is the locus of points which moves in a plane such that its distance from a fixed point ...
Read moreEllipse | Standard Equation Formula Proof, Eccentricity, Foci, Latus Rectum,Area & Perimeter of Ellipse, Solved Examples, FAQs
Class 11 Mathematics – Written by Neeraj AnandPublished by ANAND TECHNICAL PUBLISHERS Introduction to Ellipse An ellipse is a type ...
Read moreHyperbola | Standard Equations | Eccentricity, Foci, Directrix, Latus Rectum, Conjugate Axis, Solved Examples, FAQs
What is Hyperbola? Hyperbola is the locus of points whose difference in the distances from two foci is constant. This difference is ...
Read moreParabola | Standard Equations | Latus Ractum, Focus, directrix, Focal Chord & Focal Distance, Tangent, Normal, Solved Examples
Class 11 Mathematics – Written by Neeraj AnandPublished by ANAND TECHNICAL PUBLISHERS Introduction to Parabola A parabola is a conic ...
Read moreCoordinate System in Three-Dimensional Geometry | NCERT Solutions | Solved Examples, FAQs
Class 11 Mathematics | Written by Neeraj AnandPublished by ANAND TECHNICAL PUBLISHERS What is Three-Dimensional Geometry? Three-Dimensional Geometry (3D Geometry) ...
Read moreDistance Between Two Points in Three Dimensional Space (3D) Formula | Solved Examples, FAQs, Practice Questions
Class 11 Mathematics | Written by Neeraj AnandPublished by ANAND TECHNICAL PUBLISHERS Introduction In Three-Dimensional Geometry, points are represented by ...
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Read moreLimits & Functions | Properties, Algebra, Continuity, Solved Examples, FAQs, Practice Problems
Limits – Class 11 Mathematics Written by Neeraj Anand | ANAND CLASSESPublished by ANAND TECHNICAL PUBLISHERS 🔍 Introduction to Limits ...
Read moreLimit of a Function Rules | L’Hôpital’s Rule | Limits at Infinity | Squeeze Theorem | Solved Examples, FAQs
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Written by Neeraj Anand | ANAND CLASSESPublished by ANAND TECHNICAL PUBLISHERS 🔍 Introduction In calculus, derivatives represent the rate of ...
Read moreStatistics-Measures of Central Tendency (Mean, Mode, Median)
📊 Statistics Class 11 Notes Written by Neeraj Anand | ANAND CLASSESPublished by ANAND TECHNICAL PUBLISHERS Statistics is a vital ...
Read moreArithmetic Mean Formula (Average) For Ungrouped Data in Statistics | Formula, Solved Examples
📚 Mean in Statistics | Class 11 Mathematics Notes Written by Neeraj Anand | Published by ANAND TECHNICAL PUBLISHERS Are ...
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Arithmetic Mean for Grouped Data in Statistics | Class 11 Notes Written by Neeraj Anand | Published by ANAND TECHNICAL ...
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Arithmetic Mean for Grouped Data Using Assumed Mean Method | Class 11 Notes Written by Neeraj Anand | Published by ...
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Arithmetic Mean of Grouped Data Using Step Deviation Method | Class 11 Notes Written by Neeraj Anand | Published by ...
Read moreMedian of Ungrouped Data Formula in Statistics | Definition, Solved Examples, Important Questions, FAQs
Median in Statistics | Class 11 Notes Written by Neeraj Anand | Published by ANAND TECHNICAL PUBLISHERS Introduction: The Median ...
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How to Find the Median of Grouped Data? Written by Neeraj Anand | Published by ANAND TECHNICAL PUBLISHERS Introduction: In ...
Read moreMode for Ungrouped Data Formula in Statistics | Definition, Solved Examples, Important Questions, FAQs
Mode for Ungrouped Data in Statistics – Class 11 Notes Written by Neeraj Anand | Published by ANAND TECHNICAL PUBLISHERS ...
Read moreMode for Grouped Data Formula in Statistics | Definition, Solved Examples, Important Questions, FAQs
Mode for Grouped Data in Statistics – Class 11 Notes Class 11 Mathematics | Written by Neeraj AnandPublished by ANAND ...
Read moreRange Formula For Ungrouped & Grouped Data in Statistics | Definition, Solved Examples, Important Questions, FAQs
Range for Ungrouped and Grouped Data in Statistics – Class 11 Notes Class 11 Mathematics | Written by Neeraj AnandPublished ...
Read moreVariance & Standard Deviation For Ungrouped Data | Definition, Solved Examples, Important Questions, FAQs
Variance & Standard Deviation for Ungrouped and Grouped Data – Class 11 Statistics Notes Class 11 Mathematics | Written by ...
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