Math Lab

Class XI Mathematics

Mathematics

Sets, functions, trigonometry, complex numbers, sequences, conic sections, calculus.

1

Chapter 1: Sets

Mathematics

setssubsetsVenn diagramsoperations on setscomplementpower set
2

Chapter 2: Relations and Functions

Mathematics

ordered pairsCartesian productrelationsfunctionsdomainrange
3

Chapter 3: Trigonometric Functions

Mathematics

anglesradian measuretrigonometric functionsidentitiesgraphssum and difference formulas
4

Chapter 4: Complex Numbers and Quadratic Equations

Mathematics

complex numbersimaginary unitalgebra of complex numbersmodulusconjugateArgand plane
5

Chapter 5: Linear Inequalities

Mathematics

inequalitieslinear inequalitiesgraphical solutionabsolute valuesystems of inequalities
6

Chapter 6: Permutations and Combinations

Mathematics

countingpermutationscombinationsfactorialfundamental principle of countingarrangements
7

Chapter 7: Binomial Theorem

Mathematics

binomial theorembinomial coefficientsgeneral termmiddle termPascal's triangleapplications
8

Chapter 8: Sequences and Series

Mathematics

sequencesarithmetic progressiongeometric progressionAM-GM inequalityspecial sumsseries
9

Chapter 9: Straight Lines

Mathematics

coordinate geometryslopeequations of linesdistanceangle between linesintersection
10

Chapter 10: Conic Sections

Mathematics

conic sectionscircleparabolaellipsehyperbolaeccentricity
11

Chapter 11: Introduction to Three-Dimensional Geometry

Mathematics

3D coordinatesdistance in 3Dsection formulaoctantscollinearity
12

Chapter 12: Limits and Derivatives

Mathematics

limitscontinuityderivativesdifferentiation rulesfirst principles
13

Chapter 13: Statistics

Mathematics

measures of dispersionmean deviationvariancestandard deviationcoefficient of variation
14

Chapter 14: Probability

Mathematics

probabilitysample spaceeventsaxioms of probabilityaddition rulecomplement