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Fighter > Mathematics

Systematic order of all the topics and their subtopics we provide in Mathematics of Fighter (class 11th) with a description in detail.

ALGEBRA BASIC MATH

NUMBER SYSTEM
DIVISIBILITY RULE
LINEAR INEQUALITIES
LOGARITHM AND PROPERTIES OF LOGARITHM

 

SEQUENCES AND SERIES

ARITHMETIC PROGRESSIONS
SUM OF FINITE ARITHMETIC PROGRESSIONS
GEOMETRIC PROGRESSIONS
SUM OF FINITE GEOMETRIC PROGRESSIONS
INFINITE GEOMETRIC SERIES
HARMONIC PROGRESSION
ARITHMETIC MEANS AND INSERTION OF ARITHMETIC.
GEOMETRIC AND HARMONIC MEAN
GEOMETRIC MEANS BETWEEN TWO GIVEN NUMBERS.
THE RELATION BETWEEN A.M. AND G.M.
SUM UP TO N TERMS OF SPECIAL SERIES: SN, SN2, SN3.
ARITHMETIC GEOMETRIC PROGRESSION.
SPECIAL SEQUENCES

 

QUADRATIC EQUATIONS

 

QUADRATIC EQUATIONS WITH REAL COEFFICIENTS
RELATIONS BETWEEN ROOTS AND COEFFICIENTS
NATURE OF ROOTS
FORMATION OF QUADRATIC EQUATIONS WITH GIVEN ROOTS
SYMMETRIC FUNCTIONS OF ROOTS
QUADRATIC EQUATIONS IN REAL AND COMPLEX NUMBER SYSTEM AND THEIR SOLUTIONS.
IDENTITY
GRAPH OF QUADRATIC POLYNOMIAL
MAXIMUM AND MINIMUM VALUES OF QUADRATIC EXPRESSION
LOCATION OF ROOTS
MODULUS AND MODULUS INEQUALITIES
LOGARITHM INEQUALITIES
EXPONENTIAL EQUATION AND INEQUALITIES
THEORY OF HIGHER DEGREE EQUATIONS

 

PERMUTATIONS AND COMBINATIONS

 

THE FUNDAMENTAL PRINCIPLE OF COUNTING.
PERMUTATION AS AN ARRANGEMENT AND COMBINATION AS SELECTION.
THE MEANING OF P (N,R) AND C (N,R).
SIMPLE APPLICATIONS AND PROBLEMS BASED ON GEOMETRY
FORMATION OF GROUPS
PERMUTATION OF ALIKE OBJECTES
CIRCULAR PERMUTATION
DISTRIBUTION OF IDENTICAL AND DISTINCT OBJECTS
DE-ARRANGEMENT

 

BINOMIAL THEOREM

BINOMIAL THEOREM FOR A POSITIVE INTEGRAL INDEX.
GENERAL TERM AND MIDDLE TERM.
PROPERTIES OF BINOMIAL COEFFICIENTS
SIMPLE APPLICATIONS
MULTINOMIAL THEOREM

PRINCIPLE OF MATHEMATICAL INDUCTION

SUBJECTIVE APPROACH TO INDUCTION
OBJECTIVE APPROACH TO INDUCTION

TRIGONOMETRY TRIGONOMETRY RATIO

IDENTITIES OF TRIGONOMETRY
TRIGONOMETRY RATIO OF COMPOUND ANGLE
TRANSFORMATION FORMULA SUM TO PRODUCT AND PRODUCT TO SUM
TANGENT FORMULA
TRIGONOMETRY RATIO OF MULTIPLE SUBMULTIPLE ANGLES
TRIGONOMETRY RATIO OF THE SUM OF MORE THAN TWO ANGLE
GRAPH OF TRIGONOMETRY FUNCTION
RANGE OF TRIGONOMETRY EXPRESSION

TRIGONOMETRY EQUATION

GENERAL SOLUTION OF TRIGONOMETRY EQUATION
TYPE OF METHOD TO SOLVE TRIGONOMETRY EQUATION
TRIGONOMETRY INEQUALITY

 

SOLUTION OF TRIANGLE

PROPERTIES AND SOLUTION OF TRIANGLE
SINE RULE
COSINE RULE
PROJECTION FORMULA
TANGENT RULE
HALF ANGLE FORMULAE
M-N THEOREM
CIRCUMCIRCLE
INCIRCLE
EXCIRCLES
ORTHOCENTRE
LENGTH OF ANGLE BISECTOR AND MEDIAN
REGULAR POLYGON

 

APPLICATION OF TRIGONOMETRY

HEIGHT AND DISTANCE

 

ANALYTICAL GEOMETRY POINT

CARTESIAN SYSTEM OF RECTANGULAR COORDINATES IN A PLANE
DISTANCE FORMULA
SECTION FORMULA
LOCUS AND ITS EQUATION
ORTHOCENTRE, CENTROID, CIRCUMCENTRE AND INCENTRE OF TRIANGLE
TRANSLATION OF AXES

 

STRAIGHT LINE

VARIOUS FORMS OF EQUATIONS OF A LINE
INTERSECTION OF LINES
ANGLES BETWEEN TWO LINES
CONDITIONS FOR CONCURRENCE OF THREE LINES
DISTANCE OF A POINT FROM AN LINE
EQUATIONS OF INTERNAL AND EXTERNAL BISECTORS OF ANGLES BETWEEN TWO LINES
EQUATION OF THE FAMILY OF LINES PASSING THROUGH THE POINT OF INTERSECTION OF TWO LINES

 

CIRCLE

STANDARD FORM OF EQUATION OF A CIRCLE
GENERAL FORM OF THE EQUATION OF A CIRCLE
ITS RADIUS AND CENTRE
EQUATION OF A CIRCLE WHEN THE ENDPOINTS OF A DIAMETER ARE GIVEN
POINTS OF INTERSECTION OF A LINE AND A CIRCLE WITH THE CENTRE AT THE ORIGIN AND CONDITION FOR A LINE TO BE TANGENT TO A CIRCLE
EQUATION OF THE TANGENT
EQUATION OF NORMAL
FAMILY OF CIRCLE

 

CONIC SECTION

EQUATIONS OF CONIC SECTIONS (PARABOLA, ELLIPSE, AND HYPERBOLA) IN STANDARD FORMS
THEIR FOCI
DIRECTIONS AND ECCENTRICITY
PARAMETRIC EQUATIONS
EQUATIONS OF TANGENT AND NORMAL