A Complete Resource Book in Mathematics for JEE Main 2019

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