IIT Foundation MATHEMATICS Class 9 (Paperback)

IIT Foundation MATHEMATICS Class 9 Book Description

About the Book :

Contents :

1. Number System Classification Of Real Numbers Method To Find A Given Number Of Rational Numbers Between Two Given Distinct Rational Numbers In The Form Decimal Representation Of Rational Numbers In The Form Conversion Of Rational Number In Decimal Form To Its Simplest Form Representation Of Real Numbers In Decimal Form (Up To A Certain Number Of Digits) On The Real Number Line Using The Process Of Successive Magnification Representation Of Irrational Numbers In The Form On The Number Line To Prove And Are Irrational Number. To Prove Is An Irrational Number To Prove Is Not A Rational Number. If N Is Not A Perfect Square Properties Of Irrational Numbers Surds Laws Of Rational Exponents Rationalising Factor Exercise-1 Exercise-2 Solutions2. Polynomials Polynomial Types Of Polynomials On The Basis Of Their Degree Types Of Polynomials On The Basis Of Number Of Terms Of The Polynomial Value Of A Polynomial Zeroe(S) Or Root(S) Of A Polynomial To Find The Zero(Es) Of A Polynomial Factorization Of A Quadratic Polynomial By Splitting The Middle Term Remainder Theorem Factor Theorem Use Of Factor Theorem In Finding A Linear Factor Of A Polynomial F(X) Whose One Of The Terms In Constant Algebraic Identities Division Of A Polynomial By A Polynomial Exercise-1 Exercise-2 Solutions3. Co-Ordinate Geometry To Locate The Position Of A Point In A Plane Co-Ordinates Of Origin Plotting Of A Point Whose Co-Ordinates Are Known Distance Between Two Points Applications Of Distance Formula Section Formula Co-Ordinate Of Some Particular Points Area Of A Triangle Exercise1 Exercise-2 Solutions4. Linear Equation In Two Variables Linear Equation In Two Variables To Find The Solutions(S) [Or Root (S)] Of A Linear Equation In Two Variables Algebrically Graph Of A Linear Equation In Two Variables To Find The Solution Of A Linear Equation In Two Variables Graphically Exercise1 Exercise2 Solutions5. Introduction To Euclids Geometry And Present Day Geometry-Lines & Angles (Only)Introduction To Euclids Geometry 23 Definitions From Book-1 Undefined Term Euclids Postulate And Common Notions (Or Axioms) Consistent System Of Axioms Propositions Or Theorems Non-Euclidean GeometryPresent Day Geometry Lines And Angles (Only) Line, Line-Segment And Ray Angle Types Of Angles Special Type Of Angles Parallel And Intersecting Lines Transversal Line Exercise1 Exercise2 Solutions6. Triangles And QuadrilateralsTriangles Congruency Of Two Plane Geometrical Figures (Or Shapes) Congruency Of Two Triangles Sufficient Conditions (Or Rule Or Criteria) For Congruence Of Triangles (I) Side-Angle-Side (Sas) Rule For Congruency Of Two Triangles (Ii) Angle-Side-Angle (Asa) Rule For Congruency Of Two Triangles (Iii) Side-Side-Side (Sss) Rule For Congruency Of Two Triangles (Iv) Right-Angle-Hypotenuse-Side (Rhs) Rule For Congruency Of Two Triangles Some Inequality Relations In A TriangleQuadrilaterals Types Of Quadrilaterals Sum Of The Angles Of A Quadrilateral Special Types Of Parallelogram Diagonal Properties Of Special Types Of Parallelogram Mid Point Theorem Converse Of Mid Point Theorem Exercise1 Exercise2 Solutions7. Circle Circle Central AngleAngle Subtended By An Arc Or Chord At The Centre Angles In The Same Segment Of A Circle Cyclic Quadrilateral Exercise1 Exercise2 Solutions8. Construction To Construct The Bisector Of An Angle To Construct The Perpendicular Bisector Of A Given Line Segment To Construct An Angle Of 60 At The Initial Point Of A Given Ray To Construct A Triangle Given Its Base, A Base Angle And Sum Of Other Two Sides To Construct A Triangle Given Its Base, A Base Angle And The Difference Of The Other Two Sides To Construct A Triangle, Given Its Perimeter And Its Two Base Angles Exercise1 Exercise2 Solutions9. Area Of Parallelograms & Triangles Herons Formula, Surface Area And Volumes Of Solids Area Of Paralelograms And Triangles Herons FormulaSurface Areas And Volume Of Solids Cuboid Right Circular Cylinder Right Circular Cone Sphere Spherical Shell Exercise1 Exercise2 Solutions10. Statistics & ProbabilityStatistics Primary And Secondary Data (Or Observations) Ungrouped (Or Raw) Data Frequency Distribution Table Cumulative Frequency Distribution Table Exclusive And Inclusive Class Interval Conversion Of Less Than Type Grouped Cumulative Frequency Distribution Table Into General Type Grouped Cumulative Frequency Distribution Table Conversion Of More Than Type Grouped Cumulative Frequency Distribution Table In To General Type Grouped Cumulative Frequency Distribution Table Graphical Representation Of Data Use Of Summation Notation Measures Of Central Tendencies Mean Median Mode Relationship Between Mean, Mode And MedianProbability Some Basic Terms Measurement Of Probability Impossible Event Sure Event Exercise1 Exercise2 Solutions 11. Sets, Relations & FunctionsSets Representations Of Sets Standard Symbols Of Some Special Sets Types Of Sets Subsets Intervals As Subsets Of Set Of Real Numbers (R) Power Set Of A Set Universal Set Venn Diagrams Operation On Sets Disjoint Sets Cardinal NumberRelation Total Number Of Possible Relations From A Non-Empty Set A To Non-Empty Set B Exercise1 Exercise 2 Solutions12. Linear Inequalities Inequality Algebraic Solution Of Linear Inequalities In One Variable And Their Graphical Representation On The Number Line Algebraic Solution Of A System Of Linear Inequalities In One Variable Graph Of A Linear Equation To Find The Graphical Solution Of A Linear Inequality In Two Variables In A Cartesian Plane Graphical Solution Of System Of Linear Inequalities In Two Variables Exercise1 Exercise2 Solutions13. Complex Numbers Complex Number Integral Powers Of Iota Modulus Of Complex Number Z = X + Iy. Multiplicative Inverse Of A Complex Number Algebraic Operations With Complex Number Polar Form Of A Complex Number Working Rule For Finding Principal Argument Conjugate Of A Complex Number Exercise1 Exercise2 Solutions 14. Limits And ContinuityLimits Meaning Of Evaluation Of Left Hand Right Hand Limits (I.E. One Sided Limit) Existence Of Limit (I.E. Limit From Both Sides) Of A Function At A Point The Algebra Of Limits Some Standard LimitsContinuity To Check The Continuity Of A Function At A Point Theoretically To Check The Continuity Of A Function In An Interval Theoretically Examining The Continuity Of A Function In A Given Domain Theoretically Some Known Everwhere Continuous Functions Basic Results On Continuous Functions Exercise1 Exercise2 Solutions15. Matrices & DeterminantsMatrices Definition Of A Matrix Equality Of Two Matrices Types Of Matrices Symmetric Matrix Skew- Symmetric Matrix Algebra Of Matrices Transpose Of A MatrixDeterminants Of Matrix Minor Of An Element Of A Determinant Cofactor Of An Element Of A Determinant Value Of A Determinant Appliction Of Determinants Exercise 1 Exercise 2 Solutions16. Extension Of 2-D Geometry To 3-D GeometryIntroduction To 2-Dimensional Co-Ordinate Geometry Co-Ordinate Of A Point In Xy-Plane Sign Conventions In The Xy-Plane Plotting Of A Point In The Xy-Plane Whose Coordinates Are Known Distance Between Two Points Applications Of Distance Formula Section Formula Centroid Of A Triangle Area Of A Triangle Area Of A QuadrilateralIntroduction To 3-Dimensional Co-Ordinate Geometry To Locate The Position Of A Point In Space: Co-Ordinates Of A Point Sign Of Co- Ordinates Of A Points In Space Distance Between Two Points Section Formulae Centroid Of A Triangle Exercise1 Exercise2 SolutionsAnnexureLogarithm Definition Of Logarithm Standard Form Of A Positive Number A Part Of The Logarithm Table On Base 10 To Find The Logarithm Of A Number On Base 10 Using Logarithm Table Laws Of LogarithmAntilogarithm To Find The Antilog Of A Number Antilog Table Logarithm Table Antilogarithm Table

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great delivery  
By Nilanjan Halder, 25/12/2011 22:11:04

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