MATHEMATICS
ప్రాథమిక ఆరోగ్య కేంద్రాల్లో సరైన వసతులు లేక ప్రజలు ప్రైవేటు ఆస్పత్రులను ఆశ్రయిస్తున్నారు: ప్రొ. కోదండరాం|బంగ్లాదేశ్: దక్షిణ కుల్నా టౌన్కు సమీపంలో హైవేపై ట్రక్, మీని వ్యాన్ ఢీ, 12 మంది మృతి|హైదరాబాద్: కాటమరాయుడు సినిమా చూసిన మంత్రి కేటీఆర్|కర్నూలు: మంత్రాలయంలో విషాదం, వీవీజీ అతిథి గృహంలో ఉరివేసుకుని ముగ్గురి ఆత్మహత్య|పెద్దపల్లి: ప్రత్యేక రాష్ట్ర ఉద్యమం తరహాలో మరో ఉద్యమం చేస్తాం: బీజేపీ రాష్ట్ర అధ్యక్షుడు లక్ష్మణ్|విజయవాడ: రవాణాశాఖ అధికారులతో దురుసు ప్రవర్తనపై క్షమాపణ చెప్పిన టీడీపీ నేతలు|లిమ్కా బుక్ ఆఫ్ రికార్డ్స్లో ప్రాజెక్టు పేరు నమోదు కావటం ఎంతో గర్వంగా ఉంది: ట్విట్టర్లో చంద్రబాబు|హైటెక్సిటీ రైల్వేస్టేషన్ వేదికగా రిమోట్ లింక్ ద్వారా పెద్దపల్లి-నిజామాబాద్ రైల్వేలైన్ ప్రారంభించిన రైల్వే మంత్రి సురేశ్ప్రభు|పట్టిసీమ ప్రాజెక్టుకు జాతీయస్థాయి గుర్తింపు, అతితక్కువ కాలంలో గోదావరి-కృష్ణా నదుల అనుసంధానాన్ని గుర్తిస్తూ లిమ్కా బుక్ ఆఫ్ రికార్డ్స్లో నమోదు|అగ్రిగోల్డ్ భూములను కొన్నట్లు స్పీకర్కు ఆధారాలు ఇస్తా..పుల్లారావు రాజీనామాకు సిద్ధంగా వుండాలి: చెవిరెడ్డి
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INTERMEDIATE - II
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MATHEMATICS
Maths II A - 1 - Algebra
01 Complex Numbers
01 Complex Numbers
1.1. Complex Number as an Ordered Pair of Real Numbers- Fundamental Operations
1.2 Representation of Complex Numbers in the form a+ib
1.3 Modulus and Amplitude of Complex Numbers –Illustrations
1.4 Geometrical and Polar Representation of Complex Numbers in Argand Plane- Argand Diagram
2 - De Moivre’s Theorem\
2.0. Introduction
2.1 De Moivre’s Theorem- Integral and Rational Indices
2.2 nth Roots of Unity- Geometrical Interpretations – Illustrations
3 - Quadratic Equations
3.0. Introduction
3.1 Quadratic Expressions, Equations in one variable
3.1 Quadratic Expressions, Equations in one variable
3.1 Quadratic Expressions, Equations in one variable
3.2 Sign of Quadratic Expressions – Change in Signs – Maximum and Minimum Values
3.2 Sign of Quadratic Expressions – Change in Signs – Maximum and Minimum Values
3.2 Sign of Quadratic Expressions – Change in Signs – Maximum and Minimum Values
3.3 Quadratic Inequations
4 - Theory of Equations
4.0. Introduction
4.1 The Relation between the Roots and Coefficients in an Equation
4.2 Solving the Equations when Two or More Roots of It are connected by Certain Relation
4.3 Equation with Real Coefficients, Occurrence of Complex Roots in Conjugate Pairs and Its Consequences
4.4 Transformation of Equations - Reciprocal Equations
5 - Permutations and Combinations
5.0. Introduction
5.1 Fundamental Principle of Counting - Linear and Circular Permutations
5.2 Permutations of ‘n’ Dissimilar Things Taken ‘r’ at a Time
5.3 Permutations When Repetitions Allowed
5.4 Circular Permutations
5.5 Permutations with Constraint Repetitions\
5.6 Combinations - Definitions and certain Theorems \
6 - Binomial Theorem
6.0. Introduction
6.1 Binomial Theorem for Positive Integral Index
6.2 Binomial Theorem for Rational Index
6.3 Approximations using Binomial Theorem
7 - Partial Fractions
7.0. Introduction
7.1 Partial Fractions of f(x)/g(x) when g(x) contains non –repeated Linear Factors
7.2 Partial Fractions of f(x)/g(x) when g(x) contains Repeated and/or Non-Repeated Linear Factors
7.3 Partial Fractions of f(x)/g(x) when g(x) contains Irreducible Factors
8 - Probability - Measures and Dispersion
8.0. Introduction
8.1 Range
8.2 Mean Deviation
8.3 Variance and Standard Deviation of Ungrouped/Grouped Data.
8.4 Coefficient of Variation and Analysis of Frequency Distribution with Equal Means but Different Variances
9 - Probability
9.0. Introduction
9.1 Random Experiments and Events
9.2 Classical Definition of Probability, Axiomatic Approach and Addition Theorem of Probability
9.2 Classical Definition of Probability, Axiomatic Approach and Addition Theorem of Probability
9.2 Classical Definition of Probability, Axiomatic Approach and Addition Theorem of Probability
9.3 Independent and Dependent Events; Conditional Probability- Multiplication Theorem and Bayee’s Theorem
9.3 Independent and Dependent Events; Conditional Probability- Multiplication Theorem and Bayee’s Theorem
9.3 Independent and Dependent Events; Conditional Probability- Multiplication Theorem and Bayee’s Theorem
9.3 Independent and Dependent Events; Conditional Probability- Multiplication Theorem and Bayee’s Theorem
10 - Random Variables and Probability Distributions
10.1 Random Variables
10.1 Random Variables
10.2 Theoretical discrete distributions – Binomial and Poisson Distributions
10.2 Theoretical discrete distributions – Binomial and Poisson Distributions
Maths II B - 1 - Coordinate Geometry
1.1. Circle - Equation of Circle - Standard Form - Center and Radius of a Circle with a given Line Segment as Diameter & Equation of Circle through Three Non Collinear Points - Parametric Equations of a Circle
1.1. Circle - Equation of Circle - Standard Form - Center and Radius of a Circle with a given Line Segment as Diameter & Equation of Circle through Three Non Collinear Points - Parametric Equations of a Circle
1.1. Circle - Equation of Circle - Standard Form - Center and Radius of a Circle with a given Line Segment as Diameter & Equation of Circle through Three Non Collinear Points - Parametric Equations of a Circle
1.1. Circle - Equation of Circle - Standard Form - Center and Radius of a Circle with a given Line Segment as Diameter & Equation of Circle through Three Non Collinear Points - Parametric Equations of a Circle
1.1. Circle - Equation of Circle - Standard Form - Center and Radius of a Circle with a given Line Segment as Diameter & Equation of Circle through Three Non Collinear Points - Parametric Equations of a Circle
1.2 Position of a Point in the Plane of a Circle – Power of a Point - Definition of Tangent - Length of Tangent
1.2 Position of a Point in the Plane of a Circle – Power of a Point - Definition of Tangent - Length of Tangent
1.2 Position of a Point in the Plane of a Circle – Power of a Point - Definition of Tangent - Length of Tangent
1.2 Position of a Point in the Plane of a Circle – Power of a Point - Definition of Tangent - Length of Tangent
1.3 Position of a Straight Line in the Plane of a Circle - Conditions for a Line to be Tangent – Chord Joining Two Points on a Circle – Equation of the Tangent at a Point on the Circle - Point of Contact - Equation of Normal.
1.3 Position of a Straight Line in the Plane of a Circle - Conditions for a Line to be Tangent – Chord Joining Two Points on a Circle – Equation of the Tangent at a Point on the Circle - Point of Contact - Equation of Normal.
1.3 Position of a Straight Line in the Plane of a Circle - Conditions for a Line to be Tangent – Chord Joining Two Points on a Circle – Equation of the Tangent at a Point on the Circle - Point of Contact - Equation of Normal.
1.3 Position of a Straight Line in the Plane of a Circle - Conditions for a Line to be Tangent – Chord Joining Two Points on a Circle – Equation of the Tangent at a Point on the Circle - Point of Contact - Equation of Normal.
1.3 Position of a Straight Line in the Plane of a Circle - Conditions for a Line to be Tangent – Chord Joining Two Points on a Circle – Equation of the Tangent at a Point on the Circle - Point of Contact - Equation of Normal.
1.3 Position of a Straight Line in the Plane of a Circle - Conditions for a Line to be Tangent – Chord Joining Two Points on a Circle – Equation of the Tangent at a Point on the Circle - Point of Contact - Equation of Normal.
1.4 Chord of Contact - Pole and Polar - Conjugate Points and Conjugate Lines - Equation of Chord with given Middle Point
1.4 Chord of Contact - Pole and Polar - Conjugate Points and Conjugate Lines - Equation of Chord with given Middle Point
1.4 Chord of Contact - Pole and Polar - Conjugate Points and Conjugate Lines - Equation of Chord with given Middle Point
1.4 Chord of Contact - Pole and Polar - Conjugate Points and Conjugate Lines - Equation of Chord with given Middle Point
1.5 Relative Position of Two Circles - Circles Touching Each Other Externally, Internally; Common Tangents – Centers of Similitude - Equation of Pair of Tangents from an External Point
1.5 Relative Position of Two Circles - Circles Touching Each Other Externally, Internally; Common Tangents – Centers of Similitude - Equation of Pair of Tangents from an External Point
1.5 Relative Position of Two Circles - Circles Touching Each Other Externally, Internally; Common Tangents – Centers of Similitude - Equation of Pair of Tangents from an External Point
1.5 Relative Position of Two Circles - Circles Touching Each Other Externally, Internally; Common Tangents – Centers of Similitude - Equation of Pair of Tangents from an External Point
1.5 Relative Position of Two Circles - Circles Touching Each Other Externally, Internally; Common Tangents – Centers of Similitude - Equation of Pair of Tangents from an External Point
II B - 2 - System of Circles
2.1 Angle between Two Intersecting Circles
2.2 Radical Axis of Two Circles – Properties - Common Chord and Common Tangent of Two Circles – Radical Center
2.2 Radical Axis of Two Circles – Properties - Common Chord and Common Tangent of Two Circles – Radical Center
2.2 Radical Axis of Two Circles – Properties - Common Chord and Common Tangent of Two Circles – Radical Center
2.2 Radical Axis of Two Circles – Properties - Common Chord and Common Tangent of Two Circles – Radical Center
2.3 Intersection of a Line and a Circle
II B - 3 - Parabola
3.0. Introduction
3.1 Conic Sections – Parabola; Equation of Parabola in Standard Form - Different Forms of Parabola- Arametric Equations
3.1 Conic Sections – Parabola; Equation of Parabola in Standard Form - Different Forms of Parabola- Arametric Equations
3.2 Equations of Tangent and Normal at a Point on the Parabola ( Cartesian and Parametric) - Conditions for Straight Line to be a Tangent
3.2 Equations of Tangent and Normal at a Point on the Parabola ( Cartesian and Parametric) - Conditions for Straight Line to be a Tangent
3.2 Equations of Tangent and Normal at a Point on the Parabola ( Cartesian and Parametric) - Conditions for Straight Line to be a Tangent
II B - 4 - Ellipse
4.0. Introduction
4.1 Equation of ? Ellipse in Standard Form - Parametric Equations
4.1 Equation of ? Ellipse in Standard Form - Parametric Equations
4.1 Equation of ? Ellipse in Standard Form - Parametric Equations
4.1 Equation of ? Ellipse in Standard Form - Parametric Equations
4.1 Equation of ? Ellipse in Standard Form - Parametric Equations
4.2 Equation of Tangent and Normal at a Point on the ellipse (Cartesian and Parametric) - Condition for a Straight Line to be a Tangent
4.2 Equation of Tangent and Normal at a Point on the ellipse (Cartesian and Parametric) - Condition for a Straight Line to be a Tangent
II B - 5 - Hyperbola
5.0. Introduction
5.1 Equation of Hyperbola in Standard Form - Parametric Equations
5.1 Equation of Hyperbola in Standard Form - Parametric Equations
5.2 Equations of Tangent and Normal at a Point on the Hyperbola (Cartesian and Parametric)- Conditions for a Straight Line to be a Tangent - Asymptotes
5.2 Equations of Tangent and Normal at a Point on the Hyperbola (Cartesian and Parametric)- Conditions for a Straight Line to be a Tangent - Asymptotes
Calculus - II B - 6 - Integration
6.0. Introduction
6.1 Integration as the Inverse Process of Differentiation - Standard Forms - Properties of Integrals
6.1 Integration as the Inverse Process of Differentiation - Standard Forms - Properties of Integrals
6.1 Integration as the Inverse Process of Differentiation - Standard Forms - Properties of Integrals
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.2 Method of Substitution - Integration of Algebraic, Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions. Integration by Parts.
6.3 Integration - Partial Fractions Method
6.4 Reduction Formulae
II B - 7 - Definite Integrals
7.0. Introduction
7.1 Definite Integral as the Limit of Sum
7.2 Interpretation of Definite Integral as an Area
7.3 Fundamental Theorem of Integral Calculus
7.4 Properties
7.5 Reduction Formulae
7.6 Application of Definite Integral to Areas
II B - 8 - Differential Equations
8.1 Formation of Differential Equation - Degree and Order of an Ordinary Differential Equation
8.2 Solving Differential Equation by a) Variables Separable Method
b) Homogeneous Differential Equation
c) Non - Homogeneous Differential Equation
d) Linear Differential Equations