دانلود کتاب A Complete Resource Book in Mathematics for JEE Main 2019

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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