توضیحاتی در مورد کتاب A Complete Resource Book in Mathematics for JEE Main 2019
نام کتاب : A Complete Resource Book in Mathematics for JEE Main 2019
عنوان ترجمه شده به فارسی : یک کتاب منبع کامل در ریاضیات برای JEE Main 2019
سری :
نویسندگان : Dinesh Khattar
ناشر : Pearson India
سال نشر : 2018
تعداد صفحات : 1371
ISBN (شابک) : 9353062179 , 9789353062170
زبان کتاب : English
فرمت کتاب : pdf
حجم کتاب : 40 مگابایت
بعد از تکمیل فرایند پرداخت لینک دانلود کتاب ارائه خواهد شد. درصورت ثبت نام و ورود به حساب کاربری خود قادر خواهید بود لیست کتاب های خریداری شده را مشاهده فرمایید.
فهرست مطالب :
Cover
Half Title Page
Title Page
Copyright Page
Contents
Preface
Mathematics Trend Analysis (2007 to 2018)
JEE MAINs 2018 paper
JEE MAINs 2017 paper
CH. 1_Set Theory
SET
REPRESENTATION OF A SET
TYPES OF SETS
OPERATIONS ON SETS
ALGEBRA OF SETS
CARTESIAN PRODUCT OF TWO SETS
RELATIONS
TYPES OF RELATIONS ON A SET
EQUIVALENCE RELATION
CONGRUENCE MODULO
EXERCISES
Single Option Correct Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
Previous Year’s Questions
CH.2_Functions
FUNCTION OR MAPPING
DOMAIN AND RANGE OF A FUNCTION
INTERVALS IN R
METHOD TO FIND THE DOMAIN OF A FUNCTION
METHOD TO FIND THE RANGE OF A FUNCTION
TYPES OF FUNCTIONS
METHOD TO CHECK WHETHER THE FUNCTION
ONTO OR SURJECTIVE FUNCTION
METHOD TO CHECK WHETHER THE FUNCTION
BIJECTIVE FUNCTION
SOME IMPORTANT FUNCTIONS
IDENTITY FUNCTION
MODULUS FUNCTION OR ABSOLUTE VALUE FUNCTIONfunction
GREATEST INTEGER FUNCTION/STEP FUNCTION/FLOOR FUNCTION
LEAST INTEGER FUNCTION/CEILING FUNCTION
FRACTIONAL-PART FUNCTION
SIGNUM FUNCTION
RECIPROCAL FUNCTION
EXPONENTIAL FUNCTION
LOGARITHMIC FUNCTION
POLYNOMIAL FUNCTION
RATIONAL FUNCTION
TRIGONOMETRIC FUNCTIONS
INVERSE TRIGONOMETRIC FUNCTIONS
TWO WAYS OF DEFINING A FUNCTION
EXPLICIT AND IMPLICIT FUNCTIONS
OPERATIONS ON FUNCTIONS
COMPOSITION OF FUNCTIONS
PROPERTIES OF COMPOSITE FUNCTIONS
INVERSE FUNCTIONS
METHOD TO FIND THE INVERSE OF A FUNCTION
PROPERTIES OF INVERSE FUNCTIONS
ODD AND EVEN FUNCTIONS
PROPERTIES OF ODD AND EVEN FUNCTIONS
PERIODIC FUNCTION
SHORT-CUT METHOD TO CHECK THE PERIODICITY OF A FUNCTION
EXERCISES
Single Option Correct Type
More Than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
More Than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reasoning Type
Previous Year’s Questions
CH.3_Complex Numbers
IMAGINARY NUMBERS
INTEGRAL POWERS OF I
COMPLEX NUMBERS
EQUALITY OF COMPLEX NUMBERS
ALGEBRA OF COMPLEX NUMBERS
CONJUGATE OF A COMPLEX NUMBER
MODULUS OF A COMPLEX NUMBER
SQUARE ROOTS OF A COMPLEX NUMBER
ARGAND PLANE AND GEOMETRICAL REPRESENTATION OF COMPLEX NUMBERS
POLAR FORM OF A COMPLEX NUMBER
PARTICULAR CASES OF POLAR FORM
EULERIAN REPRESENTATION OF ACOMPLEX NUMBER
LOGARITHM OF A COMPLEX NUMBER
VECTORIAL REPRESENTATION OF A COMPLEX NUMBER
ROOTS OF A COMPLEX NUMBER
GEOMETRY OF COMPLEX NUMBERS
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
ANSWER KEYS
Hints and Solutions
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Assertion-Reasoning Type
Previous Year’s Questions
CH.4_Quadratic Equations and Expressions
QUADRATIC EQUATION
COMMON ROOTS
SYMMETRIC FUNCTION OF THE ROOTS
GRAPH OF A QUADRATIC EXPRESSION
GREATEST AND LEAST VAL UES OF AQUADRATIC EXPRESSION
Nature OF ROOTS OF A QUADRATICEQUATION WITH RESPECT TO ONE OR TWOREAL NUMBERS
RELATION BETWEEN ROOTS ANDCOEFFICIENTS OF A POLYNOMIALEQUATION
FORMATION OF A POLYNOMIALEQUATION FROM GIVEN ROOTS
SIGN OF A POLYNOMIAL EXPRESSION
RATIONAL ALGEBRAIC EXPRESSION
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reasoning Type
Previous Year’s Questions
CH.5_Matrices
MATrix
TYPES Of MATRICES
ALGEBRA OF MATRICES
SYMMETRIC MATRIX
ORTHOGONAL MATRIX
IDEMPOTENT MATRIX
INVOLUTORY MATRIX
NILPOTENT MATRIX
SINGULAR MATRIX
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Assertion-Reason Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
Passage Based Questions
Assertion-Reason Type
Previous Year’s Questions
CH.6_Determinants
DETERMINANTS
MINORS AND COFACTORS
EXPANSION OF A DETERMINANT OFORDER THREE
PROPERTIES OF DETERMINANTS
EVALUATION OF DETERMINANTS USING ElEMENTARY OPERATIONS
PRODUCT OF DETERMINANTS OF SAMEORDER
SOLUTION OF LINEAR EQUATIONS BYDETERMINANTS
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.7_Permutations and Combinations
FACTORIAL NOTATION
FUNDAMENTAL PRINCIPLES OF COUNTING
PERMUTATION
COMBINATION
KEY RESULTS ON COMBINATION
DERANGEMENT
SOME USEFUL RESULTS FOR GEOMETRICAL PROBLEMS
EXPONENT OF PRIME p IN n!
NUMBER of Divisors
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.8_Mathematical Induction
MATHEMATICAL INDUCTION
EXERCISES
Single Option Correct Type
Answer keys
CH.9_Binomial Theorem
BINOMIAL EXPRESSIO
BINOMIAL THEOREM
SPECIAL CASES
MIDDLE TERM IN THE BINOMIAL EXPANSION
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
ANSWER KEYS
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
CH.10_Sequence and Series
SEQUENCE
SERIES
PROGRESSIONS
ARITHMETIC PROGRESSION
PROPERTIES OF A.P.
ARITHMETIC MEAN
GEOMETRIC PROGRESSION
GEOMETRIC MEAN
SOME SPECIAL SEQUENCES
ARITHMETICO-GEOMETRIC PROGRESSION
METHOD FOR FINDING SUM OF A.G.SERIES
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.11_Limits
LIMIT OF A FUNCTION
INDETERMINATE FORMS
ALGEBRA OF LIMITS
EVALUATION OF LIMITS
ALGEBRAIC LIMITS
LIMIT OF AN ALGEBRIC FUNCTION WHEN x
TRIGONOMETRIC LIMITS
EXPONENTIAL AND LOGARITHMIC LIMITS
EVALUATION OF LIMITS USING L’HOSPITAL'S RULE
EXERCISES
Single Option Correct Type
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reasoning Type
Previous Year’s Questions
CH.12_Continuity and Differentiability
CONTINUITY
DISCONTINUITY OF A FUNCTION
TYPES OF DISCONTINUITY
GEOMETRICAL MEANING OF CON TINUITY
EXERCISES
Single Option Correct Type
More than One Option Correct type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.13_Differentiation
DERIVATIVE OF A FUNCTION
DERIVATIVE AT A POINT
STANDARD DERIVATIVES
RULES FOR DIFFERENTIATION
DERIVATIVE OF PARAMETRIC FUNCTIONS
DERIVATIVE OF IMPLICIT FUNCTIONS
DIFFERENTIATION OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
LOGARITHMIC DIFFERENTIATION
SUCCESSIVE DIFFERENTIATION
EXERCISES
Single Correct Options Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.14_Applications of Derivatives
TANGENTS AND NORMALS
SLOPE OF TANGENT
EQUATION OF TANGENT
SLOPE OF NORMAL
EQUATION OF NORMAL
ANGLE OF INTERSECTION OF TWO CURVES
LENGTH OF TANGENT, LENGTH OF NORMAL, SUB-TANGENT AND SUBNORMAL
LENGTH OF INTERCEPT MADE ON AXES BY THE TANGENT
LENGTH OF PERPENDICULAR FROM ORIGIN TO THE TANGENT
INCREASING AND DECREASING FUNCTIONS (MONOTONICITY)
TEST FOR MONOTONICITY OF FUNCTIONS
METHOD TO DETERMINE THE POINTS OF LOCAL MAXIMA AND LOCAL MINIMA
GREATEST AND LEAST VALUES OF A FUNCTION IN A CLOSED INTERVAL(ABSOLUTE MAXIMUM AND ABSOLUTE MINIMUM)
CONCAVITY AND CONVEXITY OF A FUNCTION
POINT OF INFLEXION
ROLLE’S AND LAGRANGE’S MEAN VALUE THEOREM
LAGRANGE’s MEAN VALUE THEOREM
APPLICATION OF dy/dx AS A RATE MEASURE
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.15_Indefinite Integration
INDEFINITE INTEGRAL
PROPERTIES OF INDEFINITE INTEGRATION
STANDARD FORMULAE OF INTEGRATION
METHODS OF INTEGRATION
SOME USEFUL TRIGONOMETRIC IDENTITIES
METHOD OF SUBSTITUTION
METHOD OF INTEGRATION BY PARTS
METHOD OF PARTIAL FRACTIONS FORRATIONAL FUNCTIONS
SOME SPECIAL INTEGRALS
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM DX
INTEGRALS OF THE FORM
INTEGRALS OF THE FORM
REDUCTION FORMULA
SOME USEFUL REDUCTION FORMULAE
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
ANSWER KEYS
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.16_Definite Integral and Area
DEFINITE INTEGRAL
FUNDAMENTAL THEOREM OF INTEGRAL CALCULUS
DIFFERENTIAT ION UNDER INTEGRAL SIGN
INTEGRAT ION OF MOD FUNCTIONS
SUMMAT ION OF SERIES WITH THEHELP OF DEFINITE INTEGRAL ASTHE LIMIT OF A SUM
SOME USEFUL REDUCTION FORMULAE
AREA OF PLANE REGIONS
CURVE TRACING
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.17_Differential Equations
DIFFERENTIAL EQUATION
LINEAR AND NON-LINEAR DIFFERENTIAL EQUATIONS
FORMATION OF A DIFFERENTIAL EQUATION
INITIAL VALUE PROBLEMS
HOMOGENEOUS DIFFERENTIAL EQUATIONS
SOLUTION BY INSPECTION
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
Hints and Solutions
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.18_Coordinates and straight lines
DISTANCE FORMULA
SECTION FORMULAE
AREA OF A TRIANGLE
CONDITION FOR COLLINEARITY OF THREE POINTS
STAIR METHOD FOR FINDING THE AREA
AREA OF A QUADRILATERAL
AREA OF A POLYGON
STAIR METHOD
LOCUS
TRANSLATION OF AXES
ROTATION OF AXES
REFLECTION (IMAGE) OF A POINT
GENERAL EQUATION OF A STRAIGHT LINE
SLOPE OF A LINE
INTERCEPT OF A LINE ON THE AXES
EQUATION OF A STRAIGHT LINE IN VARIOUS FORMS
REDUCTION OF THE GENERAL EQUATION TO DIFFERENT STANDARD FORMS
ANGLE BETWEEN TWO INTERSECTING LINES
CONDITION FOR TWO LINES TO BE COINCIDENT, PARALLEL, PERPENDICULAR OR INTERSECTING
EQUATION OF A LINE PARALLEL TO A GIVEN LINE
EQUATION OF A LINE PERPENDICULAR TO A GIVEN LINE
POINT OF INTERSECTION OF TWO GIVEN LINES
CONCURRENT LINES
POSITION OF TWO POINTS RELATIVE TO A LINE
LENGTH OF PERPENDICULAR FROM A POINT ON A LINE
DISTANCE BETWEEN TWO PARALLEL LINES
EQUATIONS OF STRAIGHT LINES PASSING THROUGH A GIVEN POINT AND MAKING A GIVEN ANGLE WITH A GIVEN LINE
REFLECTION ON THE SURFACE
IMAGE OF A POINTWITH REPECT TO A LINE
EQUATIONS OF THE BISECTORS OF THE ANGLES BETWEEN TWO LINES
EQUATIONS OF LINES PASSING THROUGH THE POINT OF INTERSECTION OF TWO GIVEN LINES
Standard Points of a Triangle
COORDINATES OF NINE POINT CIRCLE
EXERCISES
Single option correct type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Previous Year's Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Previous Year's Questions
CH.19_Circles
CirClE
STANDARD EQUATION OF A CIRCLE
GENERAL EQUATION OF A CIRCLE
CONDITIONS FOR AN EQUATION TO REPRESENT A CIRCLE
EQUATION OF A CIRCLE IN SOME SPECIAL CASES
EQUATIO N OF A CIRCLE IN DIAMETER FORM
INTERCEPTS MADE BY A CIRCLE ON THE AXES
PARAMETRIC EQUATIONS OF A CIRCLE
POSITION OF A POINT WITH RESPECT TO A CIRCLE
CIRCLE THROUGH THREE POINTS
INTERSECTION OF A LINE AND A CIRCLE
LENGTH OF INTERCEPT MADE BY A CIRCLE ON A LINE
The least and Greatest Distance of aPoint from a Circle
CONTACT OF TWO CIRCLES
TANGENT TO A CIRCLE AT A GIVEN POINT
EQUATION OF THE TANGENT IN SLOPE FORM
CONDITION OF TANGENCY
TANGENTS FROM A POINT OUTSIDE THE CIRCLE
LENGTH OF THE TANGENT FROM A POINT TO A CIRCLE
NORMAL TO THE CIRCLE AT A GIVEN POINT
PAIR OF TANGENTS
COMMON TANGENTS TO TWO CIRCLES
POWER OF A POINT WITH RESPECT TO A CIRCLE
DIRECTOR CIRCLE
EQUATION OF CHORD OF CONTACT
EQUATION OF CHORD IF ITS MID POINT IS KNOWN
COMMON CHORD OF TWO CIRCLES
DIAMETER OF A CIRCLE
ANGLE OF INTERSECTION OF TWO CIRCLES
ORTHOGONAL INTERSECTION OF TWO CIRCLES
FAMILY OF CIRCLES
IMAGE OF THE CIRCLE BY THE LINE MIRROR
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year's Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year's Questions
CH.20_Conic Sections (Parabola, Ellipse and Hyperbola)
CONIC SECTION
IMPOrTANT TErMS
SECTION Of A RIGHT CIRCULAR CONE BY DIFFERENT PLANES
EQUATION OF CONIC
GENERAL EQUATION
CENTRE OF CONIC
PARABOLA
SOME TERMS RELATED TO PARABOLA
FOUR STANDARD FORMS OF THE PARABOLA
INTERSECTION OF A LINE AND A PARABOLA
EQUATION OF A CHORD
POINT OF INTERSECTION OF TANGENTS
POSITION Of A POINT WITH RESPECT TO A PARABOLA
NUMBER OFTANGENTS DRAWN FROM A POINT TO A PARABOLA
EQUATION OF THE PAIR OF TANGENTS
EQUATIONS Of NORMAL IN DIFFERENT FORMS
POINT OF INTERSECTION OF NORMALS
CO-NORMAL POINTS
CHORD OF CONTACT
CHORD WITH A GIVEN MID POINT
TWO STANDARD FORMS OF THE ELLIPSE
EQUATION OF NORMAL IN DIFFERENTFORMS
EQUATION OF THE PAIR OF TANGENTS
CHORD WITH A GIVEN MID POINT
OPTICAL PROPERTY OF PARABOLA
EQUATION OF A HYPERBOLA IN STANDARD FORM
SOME TERMS AND PROPERTIES RELATED TO A HYPERBOLA
CONJUGATE HYPERBOlA
PROPERTIES Of HYPERBOlA ANd ITS CONJUGATE
POSITION Of A POINT WITH RESPECT TO A HYPERBOLA
EQUATION OF THE PAIR OF TANGENTS
CHORD WITH A GIVEN MID POINT
CHORD OF CONTACT
EXERCISES
Single Option Correct Type
Passage Based Questions
Assertion-Reason Type
Previous Year's Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
Passage Based Questions
Previous Year's Questions
CH.21_Vector Algebra
SCALARS AND VECTORS
TYPES OF VECTORS
EQUAL VECTORS
FIXED VECTORS
FREE VECTORS
ANGLE BETWEEN TWO VECTORS
REPRESENTATION OF VECTORS
ADDITION (SUM OR RESULTANT)OF TWO VECTORS
POSITION VECTOR
COMPONENT OF A VECTOR
LINEAR COMBINATION
LINEARLY DEPENDENT AND INDEPENDENT SYSTEM OF VECTORS
COLLINEARITY OF THREE POINTS
COPLANARITY OF FOUR POINTS
SOME RESULTS ON LINEARLY DEPENDENT AND INDEPENDENT VECTORS
PRODUCT OF TWO VECTORS
SCALAR PRODUCT OF TWO VECTORS
SOME USEFUL IDENTITIES
WORK DONE BY A FORCE
VECTOR PRODUCT OF TWO VECTORS
MOMENT OF A FORCE ABOUT A POINT
SCALAR TRIPLE PRODUCT
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.22_Three Dimensional Geometry
ORIGIN
COORDINATE AXES
DISTANCE FORMULA
DISTANCE OF A POINT FROM COODINATE AXES
VECTOR FORM
DIRECTION COSINES
ANGLE BETWEEN TWO LINES
PROJECTION
VECTOR FORM
STRAIGHT LINE
ANGLE BETWEEN TWO LINES
INTERSECTION OF TWO LINES
PERPENDICULAR FROM A POINT TO A LINE
SKEW LINES
VECTOR FORM
POINT OF INTERSECTION OF A LINE AND A PLANE
CONDITION FOR THE TWO LINES TO BE INTERSECTING (COPLANAR) AND THE EQUATION OF THE PLANE CONTAINING THEM
IMAGE OF A POINT IN A PLANE
IMAGE OF A LINE ABOUT A PLANE
SPHERE
EQUATION OF A SPHERE
SECTION OF A SPHERE BY A PLANE
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Previous Year's Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Previous Year's Questions
CH.23_Measures of Central Tendency and Dispersion
MEASURES OF CENTRAL TENDENCY
ARITHMETIC MEAN
GEOMETRIC MEAN
HARMONIC MEAN
MEDIAN
QUARTILES,DECILES AND PERCENTILES
MODE
SYMMETRIC DISTRIBUTION
EXERCISES
Single Option Correct Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
Previous Year’s Questions
CH.24_PROBABILITY
REMARKS
TYPES OF EVENTS
PROBABILITY OF OCCURRENCE OF ANEVENT
SOME IMPORTANT RESULTS ON PROBABILITY
CONDITIONAL PROBABILITY
MULTIPLICATION THEOREM OF PROBABILITY
LAW OF TOTAL PROBABILITY
BAYE’S THEOREM
PROBABILITY DISTRIBUTION
BINOMIAL DISTRIBUTION
MATHEMATICAL EXPECTATION
POISSON DISTRIBUTION
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
ANSWER KEYS
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Passage Based Questions
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.25_Trigonometric Ratios and Identities
ANGLE
MEASUREMENT OF ANGLE
RELATION BETWEEN DIFFERENT SYSTEMS OF MEASUREMENT OF ANGLES
RELATION BETWEEN SIDES AND INTERIOR ANGLES OF A REGULAR POLYGON
FUNDAMENTAL TRIGONOMETRIC IDENTITIES
SIGNS OF TRIGONOMETRIC RATIOS IN DIFFERENT QUADRANTS
INCREASE AND DECREASE OF TRIGONOMETRIC FUNCTIONS
DOMAIN AND RANGE OF TRIGONOMETRIC RATIOS
TRIGONOMETRIC RATIOS OF STANDARD ANGLES
TRIGONOMETRIC RATIOS FOR SOME SPECIAL ANGLES
TRIGONOMETRIC RATIOS OF ALLIED ANGLES
TABLE FOR TRIGONOMETRIC RATIOS OF ALLIED ANGLES
TRIGONOMETRIC RATIOS IN TERMS OF EACH OTHER
ADDITION AND SUBTRACTION FORMULAE
TRANSFORMATION FORMULAE
PRODUCT INTO SUM OR DIFFERENT
SUM AND DIFFERENCE INTO PRODUCT
TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES
TRIGONOMETRIC RATIOS OF SUBMULTIPLE ANGLES
GREATEST AND LEAST VALUES OF THE EXPRESSION
CONDITIONAL IDENTITIES
GRAPHS OF TRIGONOMETRIC FUNCTIONS
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Previous Year's Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
previous Year's Questions
CH.26_TrigonometricEquations
TRIGONOMETRIC EQUATION
SOLUTION OR ROOT OF A TRIGONOMETRIC EQUATION
METHOD FOR ANDING PRINCIPAL VALUE (SOLUTION)
SOLUTION OF AN EQUATION OF THE FORM
WORKING RULE TO SOLVE AN EQUATION OF THE FORM
SOLUTIONS OF BASIC TRIGONOMETRIC INEQUALITIES
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Assertion-Reason Type
Previous Year's Questions
Answer keys
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Assertion-Reason Type
Previous Year's Questions
CH.27_Inverse Trigonometric Functions
INVERSE FUNCTIONS
INVERSE TRIGONOMETRIC FUNCTIONS
DOMAIN AND RANGE OF INVERSETRIGONOMETRIC FUNCTIONS
GRAPHS OF INVERSE TRIGONOMETRICFUNCTIONS
PRINCIPAL VALUES FOR INVERSETRIGONOMETRIC FUNCTIONS
PROPERTIES OF INVERSE TRIGONOMETRICFUNCTIONS
SOLUTIONS OF BASIC INVERSETRIGONOMETRIC INEQUALITIES
SOME USEFUL SUBSTITUTIONS
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
ANSWER KEYS
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.28_HEIGHTS AND DISTANCES
SOME TERMINOLOGY RELATED TO HEIGHTAND DISTANCE
NORTH EAST
BEARINGS OF A POINT
SOME PROPERTIES RELATED TO TRIANGLE
SOME PROPERTIES RELATED TO CIRCLE
SOME IMPORTANT RESULTS
EXERCISES
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
ANSWER KEYS
HINTS AND SOLUTIONS
Single Option Correct Type
More than One Option Correct Type
Match the Column Type
Assertion-Reason Type
Previous Year’s Questions
CH.29_Mathematical Reasoning
MATHEMATICAL REASONING
STATEMENT
THE CONNECTING WORD 'OR'
QUANTIFIERS
IMPLICATIOnS
EXERCISES
Single Option Correct Type
Previous Year’s Questions
Answer keys
HINTS AND SOLUTIONS
Previous Year’s Questions
Mock Tests
Mock Test-I
HINTS AND SOLUTIONS
Mock Test-II
HINTS AND SOLUTIONS
Mock Test-III
HINTS AND SOLUTIONS
Mock Test-IV
HINTS AND SOLUTIONS
Mock Test-V
HINTS AND SOLUTIONS