Tuesday, November 3, 2020

CLASS XI - MATHEMATICS

 Sets

Sets, Type of Sets ,Subset

Power set, Intervals as subsets of R, Operations on sets 

Operations on Set

Practical Problems on sets 

Practical Problems on union and Intersection of sets

Relations and Functions

Cartesian Product of sets

Relations

Functions

Difference between relation and function

Trigonometric functions 

Part 1     Part 2   Part 3

Complex Number & quadratic equation 

Introduction 

Algebra of Complex Number 

Modulus and conjugate of Complex Number 

Polar form and argand  plane

Quadratic Equation 

Linear-Inequalities

Introduction

Graphical Solution of Linear-Inequalities in two variables 

Solution of system Linear-Inequalities in two variables  

Permutations and combinations

Fundamenta lprinciple of counting Ex 7.1

Ex 7.2

Ex 7.3

Proofof nPr

Differencebetween nPr and nCr

Ex 7.4

Ex  Misc 7

Sequences and Series

 Introduction


Arithmetic progression and Ex 9.2


Geometric progression and Ex. 9.3


Ex misc 9 ( Part 1)


Ex misc 9 (Part 2)


Straight lines


  Ex. 10.1 

2.         Ex. 10.2 

3.        Concepts : slope of a line       

        Angle between 2 lines

  When 3points are collinear

   Different forms of equation of a line

   Different forms Part -2

   Ex. 10.3

 General equation of line

Conic Sections

Introduction

Circle

Parabola

Problems on Parabola

Ellipse

Problems on Ellipse

Hyperbola

Problems on Hyperbola 

Introduction to 3 dimensional geometry

1.       Intro to 3 D and Ex. 12.1

 Distance between 2 points and Ex 12.2

 Section formula and  Ex 12.3

Limits and derivatives

Limitsand derivatives

Statistics

Mean Deviation

Variance

Standard Deviation

Probability

Sample space

Algebra of events


Principle of Mathematical Induction

Mathematical Reasoning    Part 1    Part 2






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