Foundation Series Of Mathematics Class:10,

Cover
Copyright
Detailed Contents
Preface to the Fifth Edition
Preface
About the IIT Foundation Series
Structure of the IIT Foundation Series
Series Content List
Ch.1: Number System
	INTRODUCTION
	Euclid’s division lemma
	Fundamental theorem of arithmetic
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.2: Polynomialsand Rational Expressions
	INTRODUCTION
	Polynomial of nth degree
	Relation among the HCF, the LCM and the product of the polynomials
	Rational expressions in lowest terms
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.3: Linear Equations in Two Variables
	INTRODUCTION
	Algebraic expressions
	Transposition
	Word problems and application of simultaneous equations
	test your concepts
	CONCEPT APPLICATION
	KEY
Ch..4: Quadratic Equations and Inequalities
	INTRODUCTION
	Roots of the equation
	Finding the roots by factorization
	Constructing a quadratic equation
	Equations of higher degree
	Quadratic Inequations
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.5: Statements
	INTRODUCTION
	Statement
	Truth value
	Negation of a statement
	Tautology
	Contradiction
	Contingency
	Logically equivalent statements
	Laws of algebra of statements
	Quantifiers
	Application to switching networks
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.6: Sets, Relations and Functions
	INTRODUCTION
	Set
	Elements of a set
	Dual of an identity
	Venn diagrams
	Ordered pair
	Relation
	Function
	Domain and co-domain
	Rang
	Arrow diagram
	Types of functions
		One-one function or injection
		Many to one function
		Onto function or surjection
		Into function
		Bijective function
		Inverse of a function
		Inverse function
		Identity function
		Constant function
		Equal function
		Composite function (or) product function
		Real function
		Even and odd functions
	Graphs of functions
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.7: Progressions
	INTRODUCTION
	Sequence
	Arithmetic progression (A.P.)
	Geometric progression (G.P.)
	Harmonic progression (H.P.)
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.8: Trigonometry
	INTRODUCTION
	Angle
	Systems of measurement of angle
	Relation between the units of the three systems
	Trigonometric ratios
	Standard position of the angle
	Coterminal angles
	Trigonometric tables
	Heights and distances
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.9: Limits
	INTRODUCTION
	Limit of a function
	Meaning of ‘x → a’
	Indeterminate form
	Limits as x tends to infinity
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.10: Matrices
	INTRODUCTION
	Order of a matrix
	Various types of matrices
	Comparable matrices
	Operations on matrices
	Determinant
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.11: Remainder and Factor Theorems
	INTRODUCTION
	Remainder theorem
	Factor theorem
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.12: Statistics
	INTRODUCTION
	Data
	Types of data
	Tabulation or presentation of data
	Class interval
	Class boundaries
	Class size
	Bar graph
	Histograms
	Frequency polygon
	Frequency curve
	Arithmetic mean or mean (A.M
	Median
	Mode
	Observations
	Coefficient of variation (C.V.)
	Quartiles
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.13: Geometry
	INTRODUCTION
	Symmetry
	Image of a point about a line
	Image of a line segment about a line
	Image of an angle about a line
	Properties of size transformation
	Criteria for similarity of triangles
	Circles
	Chord
	Cyclic quadrilateral
	Equation of a locus
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.14: Mensuration
	INTRODUCTION
	Equilateral triangle
	Prisms
	Cubes and cuboids
	Pyramid
	Cone
	Right circular cone
	Hollow cone
	Sphere
	Hemisphere
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.15: Coordinate Geometry
	INTRODUCTION
	Coordinates of a point
	Convention of signs
	Points on the plane
	Distance between two points
	Straight lines
	The slope of a line passing through the points (x1, y1) and (x2, y2)
	Intercepts of a straight line
	Oblique line
	Area of triangle
	Section formulae
	Mid-point
	Centroid
	Equation of a line parallel or perpendicular to the given line
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.16: Mathematical Induction and Binomial Theorem
	INTRODUCTION
	The principle of mathematical induction
	Pascal triangle
	Factorial notation and nCr representation
	Binomial theorem
	Term independent of x
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.17: Modular Arithmetic
	INTRODUCTION
	Congruence
	Set of residues
	Construction of caley’s table
	Linear congruence
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.18: Linear Programming
	INTRODUCTION
	Convex set
	Objective function
	The fundamental theorem
	Optimum solution
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.19: Computing
	INTRODUCTION
	Historical development of computing
	Software
	Algorithm
	Flow chart
	Operators
	Basic
	Constants
	Variables
	Conditional statements
	Looping statements
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.20: Permutations and Combinations
	INTRODUCTION
	Sum rule of disjoint counting
	General form of sum rule
	Generalization of product rule
	Permutations
	Factorial notation
	Explanation
	Combinations
	General formula for combinations
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.21: Probability
	INTRODUCTION
	Sample space
	Event
	Probability of an event
	Probability of non-occurrence of an event E
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.22: Banking
	INTRODUCTION
	Deposit accounts
	Types of cheques
	Loans
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.23: Taxation
	INTRODUCTION
	Income tax
	Sales tax
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.24: Instalments
	INTRODUCTION
	Cash price
	Repayment of loan
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points forselected questions
Ch.25: Shares and Dividends
	INTRODUCTION
	Nominal value of a share (N.V.)
	Market value of a share (M.V.)
	Dividend
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.26: Partial Fractions
	INTRODUCTION
	Method 1
	Method 2
	Method 3
	Method 4
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions
Ch.27: Logarithms
	INTRODUCTION
	Definition
	Variation of logax with x
	Anti-log
	test your concepts
	CONCEPT APPLICATION
	KEY
	key points for selected questions