Home > [2019-20] CBSE Maths Syllabus For Class-8-9-10-11-12

# [2019-20] CBSE Maths Syllabus For Class-8-9-10-11-12

Hi students, welcome to Amans Maths Blogs (AMB). On this page, you will get the latest CBSE maths syllabus for class 8, 9, 10, 11, 12. These syllabi are as per NCERT syllabus guidelines.

# [2019-20] CBSE Maths Syllabus For Class 8

 Chapters No Chapter Name Chapter 01 Rational Numbers Topics Covered 1. Introduction of Numbers 2. Properties Of Rational Numbers 3. Number Line 4. Rational Number Between Two Rational Numbers Chapter 02 Linear Equation in One Variable Topics Covered 1. Introduction of Linear Equation One Variable 2. Solving Method 3. Word Problems Application 4. Reducing Equation To Simplest Form 5. Equation Reducible to Linear Form Chapter 03 Understanding Quadrilaterals Topics Covered 1. Introduction of Quadrilaterals 2. Introduction of Polygons 3. Angles Sum Property 4. Exterior Angles Property 5. Parallelograms and Its Properties 6. Rectangle and Its Properties 7. Square and Its Properties 8. Rhombus and Its Properties 9. Kites and Its Properties 10. Trapezium and Its Properties Chapter 04 Practical Geometry Topics Covered 1. Construction of Quadrilaterals When 2. 4 Sides & 1 Diagonal Given 3. 2 Diagonals & 3 Sides Given 4. 2 Adjacent Sides & 3 Angles Given 5. 3 Sides & 2 Included Angles Given 6. Other Special Properties Given Chapter 05 Data Handling Topics Covered 1. Raw Data, Group Data 2. Frequency, Organizing Data 3. Bar Graph 4. Histogram 5. Pie Chart 6. Probability Chapter 06 Square and Square Root Topics Covered 1. Introduction of Square Numbers 2. Properties of Square Numbers 3. Finding Square of Numbers 4. Introduction of Square Root 5. Finding Square Root of Numbers 6. Square Root of Decimals 7. Estimating Square Root Chapter 07 Cube and Cube Root Topics Covered 1. Introduction of Cube Numbers 2. Properties of Cube Numbers 3. Finding Cube of Numbers 4. Introduction of Cube Root 5. Finding Cube Root of Numbers Chapter 08 Comparing Quantities Topics Covered 1. Introduction of Comparing Quantities 2. Ratio & Properties 3. Percentage 4. Profit & Loss 5. Simple Interest 6. Compound Interest Chapter 09 Algebraic Expression & Identities Topics Covered 1. Introduction of Algebraic Expression 2. Factors & Coefficients 3. Polynomials 4. Addition of Polynomials 5. Subtraction of Polynomials 6. Multiplication of Polynomials 7. Division of Polynomials 8. Multiplication of Polynomials 9. Division of Polynomials 10. Equation & Identities 11. Algebraic Identities Chapter 10 Visualizing Solid Shapes Topics Covered 1. Introduction of 3D Shapes 2. Face, Edges & Vertices 3. Space, Maps 4. Eular’s Formula Chapter 11 Mensuration Topics Covered 1. Area & Perimeter of 2D Figures 2. Surface Area & Volume of 3D Figures Chapter 12 Exponent and Powers Topics Covered 1. Introduction of Exponent/Power/Index 2. Laws of Exponents 3. Standard Form of Numbers 4. Comparison of Very Small & Large Numbers Chapter 13 Direct and Inverse Proportion Topics Covered 1. Direct Proportion 2. Inverse Proportion Chapter 14 Factorization Topics Covered 1. Introduction of Factors 2. Method of Factorization 3. Factorization by Common Factors 4. Factorization by Regrouping Terms 5. Factorization by Identities 6. Factorization by middle Term Splitting Chapter 15 Introduction to Graphs Topics Covered 1. Introduction of Linear Graphs 2. Rectangular Axes 3. Co-ordinates of a Point 4. Plotting The Points Chapter 16 Playing With Numbers Topics Covered 1. General Form of Two Digits Numbers 2. General Form of Three Digits Numbers 3. Test of Divisibility 4. Letters for Digits

Here our team compile the CBSE maths syllabus for class 8, 9, 10, 11, 12 as short notes of each chapter and with important questions. These short notes can help the students to revise the whole syllabus quickly and the important questions are helpful for their CBSE examinations.

AMB also provide the CBSE NCERT solutions for maths of each class. These NCERT solutions helps the students getting maximum marks in their annual examinations, So the students need to study these CBSE school maths syllabus along with NCERT solutions with short notes provided and some important questions given as each chapters.

# [2019-20] CBSE Maths Syllabus For Class 9

 Chapters No Chapter Name Chapter 01 Numbers System Topics Covered 1. Introduction to Number Line 2. Rational and Irrational Numbers 3. Locating Irrational Number On Number Line 4. Real Number and Their Decimal 5. Terminating, Non-Terminating and Recurring Decimals 6. Expressing Recurring Decimal To Fraction and Vice-Versa 7. Finding Rational Number Between Two Irrational Number 8. Finding Irrational Number Between Two Irrational Number 9. Representing Real Number On The Number Line 10. Mathematical Operation on Real Number 11. Geometrical Representation of Root X 12. Rationalization 13. Laws of Exponent Chapter 02 Polynomial Topics Covered 1. Algebraic Expression and Polynomial 2. Identification of Polynomial 3. Types, Degree, Zeroes of Polynomial 4. Remainder Theorem 5. Factor Theorem 6. Algebraic Identities Chapter 03 Co-ordinate Geometry Topics Covered 1. Introduction to Cartesian System 2. Co-ordinate of Point 3. Sign of x-coordinate and y-coordinate 4. Plotting the Points Chapter 04 Linear Equation in Two Variables Topics Covered 1. Linear Equation in Two Variables as ax + by + c = 0 2. Solving of Linear Equation in Two Variables 3. Equation of Axes and Its Parallel Equations 4. Graphical Solution of Linear Equations In Two Variables Chapter 05 Euclid Geometry Topics Covered 1. Euclid’s Definition, Axioms, Theorems 2. Euclid’s Five Postulates 3. Equivalent Version of Fifth Postulates Chapter 06 Lines and Angles Topics Covered 1. Introduction to Line and Angles 2. Basic Terms and Definition About Lines 3. Different Types of Angles 4. Intersecting Lines and Non-Intersecting Lines 5. Linear Pairs of Angles 6. Transversal Line 7. Transversal Line of Parallel Lines 8. Exterior Angle of a Triangle Chapter 07 Triangle Topics Covered 1. Introduction of Congruence 2. SAS, SSS, ASA, AAS, RHS 3. Some Properties of a Triangle 4. Triangle Inequality Chapter 08 Quadrilaterals Topics Covered 1. Introduction of Quadrilaterals 2. Angle Sum Property of Quadrilateral 3. Types of Quadrilaterals 4. Properties of Parallelogram 5. Conditions for Quadrilateral to be Parallelogram 6. Mid-Point Theorem Chapter 09 Area of Parallelogram and Triangle Topics Covered 1. Figures on Same Base and Between Same Parallel Lines 2. Parallelogram on the Same Base and Between the Same Parallel Lines 3. Triangles on the Same Base and Between the Same Parallel Lines 4. Median of a Triangle Chapter 10 Circles Topics Covered 1. Circle and Its Related Terms 2. Angle Subtended by a Chord 3. Perpendicular from Center to the Chord 4. Circle Through the Three Points 5. Equal Chords and Their Distance from the Center 6. Angle Subtended by an Arc 7. Cyclic Quadrilaterals Chapter 11 Construction Topics Covered 1. Construction of Bisector of an Angle 2. Construction of Perpendicular Bisector of Line Segment 3. Construction of 30, 60, 75, 90, 120, and 150 Degree 4. Construction of Triangle When Base, Base Angles and Sum of Other Two Sides are Given 5. Construction of Triangle When Base, Base Angles and Difference of Other Two Sides are Given 6. Construction of Triangle When Base Angles and Perimeter are Given Chapter 12 Heron’s Formula Topics Covered 1. Area of Triangle When Base and Height Are Given 2. Area of Equilateral Triangle 3. Area of Triangle by Heron’s Formula 4. Application of Heron’s Formula Chapter 13 Surface Area and Volume Topics Covered 1. Surface Area and Volume of Cuboid 2. Surface Area and Volume of Cube 3. Surface Area and Volume of Cylinder 4. Surface Area and Volume of Cone 5. Surface Area and Volume of Sphere 6. Surface Area and Volume of Combination of Solids Figures Chapter 14 Statistics Topics Covered 1. Raw Data and Organised Data 2. Frequency Distribution Table 3. Measures of Central Tendency Chapter 15 Probability Topics Covered 1. Probability and its Related Terms 2. Mathematical Formula of Probability

By using CBSE maths syllabus for class 8, 9, 10, 11, 12, the students are not required for their academic sessions to start. Just search for AMB and come to this page and their start to learn their chapters of the CBSE maths syllabus for class 8, 9, 10, 11, 12 along with the short notes, important questions with NCERT solutions.

Now, if the students have sufficient time for their final exams, then just go through whole CBSE maths syllabus for class 8, 9, 10, 11, 12, and read all the chapters in details and solve each questions in their exercise.

# [2019-20] CBSE Maths Syllabus For Class 10

 Chapters No Chapter Name Chapter 01 Real Numbers Topics Covered 1. Introduction to Real Numbers 2. Euclid’s Division Lemma 3. Difference Between Algorithm and Lemma 4. Euclid Division Algorithm to find HCF 5. Fundamental Theorem of Arithmetic 6. Relation Between HCF and LCM 7. Introduction to Irrational Numbers 8. Proving RootX is an Irrational Number 9. Rational Number and Its Decimal Expansion 10. Terminating and non-Terminating Decimals Chapter 02 Polynomials Topics Covered 1. Introduction of Polynomials 2. Degree of Polynomials 3. Types, Degree, Zeroes of Polynomial 4. Remainder Theorem 5. Factor Theorem 6. Algebraic Identities 7. Graph of Quadratic Polynomial 8. Relation Between Zeroes and Coefficients of Quadratic Polynomial 9. Relation Between Zeroes and Coefficients of Cubic Polynomial 10. Division Algorithm for Polynomial Chapter 03 Pair of Linear Equation in Two Variables Topics Covered 1. General Form of Linear Equations in Two variables 2. Checking Number of Solutions of Pair of Linear Equation in Two variables 3. Method of Solving of Pair of Linear Equation in Two variables 4. Word Problems on Pair of Linear Equation in Two variables Chapter 04 Quadratic Equations Topics Covered 1. Introduction to Standard Form of Quadratic Equation 2. Solution of Quadratic Equation By Factorization 3. Solution of Quadratic Equation By Completing The Square 4. Solution of Quadratic Equation By Quadratic Formula 5. Nature of Roots, Sum and Product of Roots Chapter 05 Arithmetic Progression (AP) Topics Covered 1. Introduction of Sequence, Progression and Series 2. Definition of Arithmetic Progression and Its Related Terms 3. General Form of AP 4. nth Term of an AP From Start and Last 5. Sum of n Terms of an AP 6. Arithmetic Mean Chapter 06 Similar Triangles Topics Covered 1. Introduction of Similar Triangles 2. Basic Proportionality Theorem (Thele’s Theorem) 3. Similar Triangles Definition 4. Criteria For Similarity of Triangles SAS, AA, SSS 5. Area of Similar Triangles 6. Pythagoras Theorem 7. Apollonuis Theorem 8. Important Results Chapter 07 Co-ordinate Geometry Topics Covered 1. Distance Formula 2. Section Formula 3. Mid Point Formula 4. Area of Triangle Chapter 08 Trigonometry Topics Covered 1. Introduction to Trigonometry 2. Definition of Trigonometric Ratio 3. Trigonometric Ratios For Specific Angles 4. Trigonometric Ratios For Complementary Angles 5. Trigonometrical Identities Chapter 09 Application of Trigonometry Topics Covered 1. introduction of Angles of Elevation and Depression 2. Drawing the Rough Sketch of Given Situation 3. Using Trigonometry in Sketch Chapter 10 Circles Topics Covered 1. Introduction to Tangents and Secants 2. Theorem Related to Tangent to the Circle 3. Number of Tangents from a Point to the Circle 4. Alternate Segment Theorem Chapter 11 Construction Topics Covered 1. Division of Line Segments 2. Construction of Similar Triangles 3. Construction of Tangents to the Circle Chapter 12 Area Related To Circle Topics Covered 1. Perimeter and Area of Circle 2. Area of Sector and Segment 3. Area of Combination of Plane Figures Chapter 13 Surface Area and Volume Topics Covered 1. Surface Area and Volume of Cuboid 2. Surface Area and Volume of Cube 3. Surface Area and Volume of Cylinder 4. Surface Area and Volume of Cone 5. Surface Area and Volume of Sphere 6. Surface Area and Volume of Combination of Solids Figures 7. Conversion of Solids From One Shape To Another 8. Frustum of Cones Chapter 14 Statistics Topics Covered 1. Mean, Median, Mode of Ungrouped Data 2. Mean of Grouped Data By Direct Method 3. Mean of Grouped Data By Step Deviation Method 3. Mean of Grouped Data By Short Method 3. Median of Grouped Data 3. More Than and Less Than Ogive 3. Mode of Grouped Data Chapter 15 Probability Topics Covered 1. Theoretical or Classical Probability 2. Sum of Probability of Occurrence and Non-Occurrence Event 3. Types of Events 4. Odd In Favour and Odd Against of an Event

These CBSE maths syllabus for class 8, 9, 10, 11, 12, is also helpful for those students who study in other than CBSE affiliated schools. It means the students of ICSE, ISC, UP Board, Bihar Board and other state board can also take this CBSE maths syllabus for class 8, 9, 10, 11, 12, for revision and clearing their maths doubts.

AMB provides the CBSE maths syllabus for class 8, 9, 10, 11, 12, as per NCERT guidelines. In this website, the CBSE maths syllabus for class 8, 9, 10, 11, 12 includes the lists of subtopics and topics which are covered in school through academic year.

# [2019-20] CBSE Maths Syllabus For Class 11

 Chapters No Chapter Name Chapter 01 Set Theory Topics Covered 1. Definition of Sets 2. Representation of Sets 3. Types of Sets: Empty, Finite, Infinite, Equal, Null, Void 4. Definition of Subsets 5. Finding Subset of Set and Their Representation 6. Intervals and Their Representations 7. Power Set and Finding Number of Elements in Power Set 8. Universal Set and Their Representation 9. Venn Diagram of Set 10. Operation of Set: Union, Intersection, Difference 11. Complement of Set 12. Important Laws of Set: Complement, De-Morgan etc. 13. Word Problems on Union and Intersection of Two Sets Chapter 02 Relations and Functions Topics Covered 1. Cartesian Product of Sets 2. Definition of Relations and Number of Relation 3. Concept of Domain, Range and Co-Domain 4. Definition of Function 5. Real Valued Function 6. Identity Function and Their Graph 7. Constant Function and Their Graph 8. Quadratic Function and Their Graph 9. Cubic Function and Their Graph 10. Rational Function and Their Graph 11. Modulus Function and Their Graph 12. Signum Function and Their Graph 13. Greatest Integer Function and Their Graph 14. Algebra of Real Function 15. Finding the Domain and Range of the Functions Chapter 03 Trigonometric Function Topics Covered 1. Introduction of Angle and Their Measurement 2. Radian Measurement and Their Mathematical Definition 3. Relation Between Degree and Their Conversion 4. Trigonometric Function and Identities 5. Sign of Trigonometric Function in Different Quadrant 6. Domain and Range of Trigonometric Function 7. Trigonometric Function of Sum and Difference of Two Angles 8. Trigonometric Function of Double, Triple and Half of the Angles 9. Some Important Formula 10. Trigonometric Equations and Their Principle and General Solutions 11. Some important Exercise Chapter 04 Mathematical Induction Topics Covered 1. Introduction of Statements 2. Introduction of Mathematical Induction 3. Principle of Mathematical Induction Chapter 05 Complex Numbers Topics Covered 1. Introduction of Square Root of Negative Numbers 2. Power of Iota (i) 3. Complex Numbers 4. Algebra of Complex Numbers 5. Finding Square Root of Negative Real Numbers 6. Complex Number Based Identities 7. Modulus, Argument and Conjugate of a Complex Numbers 8. Multiplicative Inverse of Complex Numbers 9. Introduction of Argand Plane and Polar Co-ordinate 10. Polar Representation of Complex Numbers Chapter 06 Quadratic Equations Topics Covered 1. Introduction of Quadratic Equation 2. Graph of Quadratic Equation 3. Sum and Product of Roots of Quadratic Equation Chapter 07 Linear inequalities Topics Covered 1. introduction of Inequalities 2. Graphical Solution of Linear Inequalities in One Variable 3. Graphical Solution of Linear Equation in Two Variables 4. Graphical Solution of Linear Inequalities in Two Variables Chapter 08 Permutation and Combination Topics Covered 1. Fundamental Principle of Counting 2. Introduction of Permutation 3. Permutation When All Objects Are Distinct 4. Introduction of Factorial 5. Formula for Permutation 6. Permutation When All Objects Are NOT Distinct 7. Introduction of Combination  8. Difference Between Permutation and Combination 9. Formula for Combination 10. Important Formula and Concept Related to Combination Chapter 09 Binomial Theorem Topics Covered 1. Introduction of Binomial Theorem 2. Binomial Theorem for Positive Index 3. Some Special Cases In Formula of Binomial Theorem 4. General and Middle Term Concept 5. Independent Term Concept Chapter 10 Sequence and Series Topics Covered 1. Difference Among Sequence, Progression and Series 2. Terms of a Sequence 3. Introduction of Arithmetic Progression (AP) 4. General Term of an AP 5. Sum of n Terms of an AP 6. Arithmetic Mean (AM) 7. Introduction of Geometric Progression (GP) 8. General Term of an GP 9.  Sum of n Terms of an GP 10. Geometric Mean (GM) 11. Relationship Between AM and GM  12. Sum of First n Natural Numbers 13. Sum of Square of First n Natural Numbers 14. Sum of Cube of First n Natural Numbers 15. Sum of n Terms of Special  Series Chapter 11 Straight Lines Topics Covered 1. Revision of Co-ordinate Geometry Studied in Previous Class 2. Slope of Lines 3. Condition for Perpendiculars and Parallelism 4. Angle Between Two Lines 5. Collinearity of Three Points By Using Slopes 6. Various Forms of Equation of Line 7. General Equation of Line and Its Different Forms 8. Distance of a Point From a Line 9. Distance Between Two Parallel Lines Chapter 12 Conic Section Topics Covered 1. Introduction of Conic Section 2. Section of Cone: Generated and Degenerated Conic Section 3. Condition of Circle, Parabola, Ellipse and Hyperbola 4. Circle and Its Standard Equation and Other Concepts 5. Parabola and Its Standard Equation and Other Concepts  6. Ellipse and Its Standard Equation and Other Concepts 7. hyperbola and Its Standard Equation and Other Concepts Chapter 13 Three Dimensional (3D) Geometry Topics Covered 1. Co-ordinate Axes and Co-ordinate Planes in 3D 2. Co-ordinate of a Point in 3D Space 3. Distance Between Two Points in 3D 4. Section Formula in 3D Chapter 14 Limit and Derivative Topics Covered 1. Concepts of Limit 2. Left Hand Limit (LHL) and Right Hand Limit (RHL) 3. Algebra of Limits 4. Limits of Polynomial and Rational Function 5. Important Formula of Limit 6. Limit of Trigonometric Function 7. Introduction of Derivatives 8. Definition of Derivative of a Function f(x) 9. Algebra of Derivative of Function 10. Derivative of Polynomial and Trigonometric Function Chapter 15 Mathematical Reasoning Topics Covered 1. Introduction of Statement 2. Negative of Statement 3. Compound Statement 4. Special Words and Phrases 5. Quantifiers  6. Implications 7. Contrapositive and Converse 8. Validating Statement Chapter 16 Statistics Topics Covered 1. Introduction of Statistics 2. Measure of Dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation  3. Mean Deviation of Grouped and Ungrouped Data 4. Variance and Standard Deviation 5. Standard Deviation of Discrete Frequency Distribution  6. Standard Deviation of Continuous Frequency Distribution  7. Coefficient of Variance Chapter 17 Probability Topics Covered 1. Definition of Random Experiment, Outcomes, Sample Space Event 2. Types of Events  3. Algebra of Events 4. Mutually Exclusive Event 5. Exhaustive Event 6. Axiomatic Approach to Probability 7. Probability of Equally Likely Outcomes 8. Important Concept of Probability

These CBSE maths syllabus for class 8, 9, 10, 11, 12 are created keeping in mind that every class student will understand the concepts of CBSE prescribed NCERT text books before starting their preparation for exams.

These CBSE maths syllabus for class 8, 9, 10,11, 12 are prepared also for those students who want to appear in NTSE, NMTC, NDA, SSC exams. These short notes along with important questions are foundation for the students who want to appear in the entrance exams like JEE Main and Advance, BITSAT, UPSEE, WBJEE etc.

# [2019-20] CBSE Maths Syllabus For Class 12

 Chapters No Chapter Name Chapter 01 Relation and Function Topics Covered 1. Definition of Relation 2. Types of Relations 3. Definition of Functions 4. Types of Functions 5. Composition of Functions 6. Inverse of Function 7. Composition of Function 8. Binary Operations Chapter 02 Inverse Trigonometrical Functions Topics Covered 1. Basic Concept of Trigonometry 2. Condition To Be Inverse Trigonometric Function 3. Domain and Range of Functions 4. Properties of Inverse Functions Chapter 03 Matrices Topics Covered 1. Introduction of Matrices 2. Types of Matrices 3. Equality of Matrices 4. Mathematical Operation on Matrices 5. Properties of Addition of Matrices 6. Properties of Scalar Multiplication of Matrices 7. Multiplication of Matrices 8. Properties of Multiplication of Matrices 9. Transpose of Matrices 10. Properties of Transpose of Matrices 11. Symmetric and Skew-Symmetric Matrices 12. Transformation of Matrices 13. Invertible of Matrices Chapter 04 Determinants Topics Covered 1. Introduction of Determinants 2. Expansion of Determinants 3. Properties of Determinants 4. Area of Triangle in Determinants Form 5. Minors and Cofactor of Matrices 6. Adjoint and Inverse of Matrices 7. Singular and Non-Singular Matrices 8. Application of Matrices and Determinants Chapter 05 Continuity and Differentiablity Topics Covered 1. Introduction of Continuity 2. Method of Checking of a Function to be Continuous 3. Algebra of Continuous Function 4. Introduction of Differentiablity 5.  Method of Checking of a Function to be Differentiable 6. Derivative of Composite Function  7. Chain Rule of Differentiation 8. Derivative of Implicit Function 9. Derivative of Inverse Trigonometric Function 10. Exponential Function and Its Properties and Graph 11.  Exponential Function and Its Properties and Graph 12. Logarithmic Differentiation 13. Derivative of Function in Parametric Function Forms 14. Second Order Derivative 15. Rolle’s Theorem 16. Mean Value of Theorem Chapter 06 Application of Derivative Topics Covered 1. Rate of Change of Quantities 2. Increasing and Decreasing Function 3. Tangent and Normal 4. Approximation 5. Maxima and Minima 6. First Derivative Test 7. Second Derivative Test 8. Maxima and Minima Derivative Test Chapter 07 Integration Topics Covered 1. Integral As the Inverse of Differentiation 2. Integration Formulas 3. Geometric Meaning of Indefinite Integrals 4. Properties of Indefinite Integrals 5. Comparison Between Differentiation and Integration 6. Method of Integration By Substitution 7.  Method of Integration By Partial Fraction 8.  Method of Integration By Parts 9. Integration By Using Trigonometrical Identities 10. Integration of Some Particular Functions 11.  Integration of Some Important Functions 12. Introduction of Definite Integration 13. Definite Integration as Limit of a Sum 14. Area Function of Definite Integration 15.  Some Important Properties of Definite Integrals Chapter 08 Application of Integrals Topics Covered 1. Area Under Simple Curve 2. Area of Region Bounded By a Curve and a Line 3. Area Between Two Curve Chapter 09 Differential Equations Topics Covered 1. Introduction to Differential Equations 2. Order of Differential Equation 3. Degree of Differential Equation 4. General and Particular Solution of Differential Equation 5. Formation of Differential Equations 6. Method of Solving First Order and First Degree Differential Equation 7. Homogeneous Equation of Differential Equation 8. Linear Differential Equation Chapter 10 Vector Algebra Topics Covered 1. Introduction of Scalar and Vector 2. Direction Cosines 3. Types of Vectors 4. Types of Vectors 5. Addition of Vectors and Its Vectors 6. Multiplication of Vector By Scalar 7. Components of Vectors 8. Section Formula 9.  Scalar Product of Two Vectors and Its Properties 10. Vector Product of Two Vectors and Its Properties 11. Projection of Vector on a Line  12. Area of Parallelogram Chapter 11 Three Dimensional (3D) Geometry Topics Covered 1. Direction Cosine and Direction Ratio of a Line 2. Relation Between Direction Cosine of a Line 3. Direction Cosine of Line Passing Through Two Points 4. Equation of Line In 3D Through a Given Point and Given Parallel Vector 5.  Equation of Line In 3D Through Two Given Point 6. Angle Between Two Lines 7. Shortest Distance Between Two Lines 8. Distance Between Two Skew Lines 9. Distance Between Parallel Lines 10. Equation of Plane in Normal Form 11. Equation of a Plane Perpendicular To A Given Vector 12.  Equation of Plane Passing Through Three Given Points 13. Intercept Form of Equation of a Line 14. Equation of Plane Passing Through Two Given Planes 15. Coplanarity of Two Lines 16. Angle Between Two Planes 17. Distance of a Point From a Plane 18. Angle Between a Line and Plane Chapter 12 Linear Programming Topics Covered 1. Introduction to Linear Programming and Mathematical Formulation 2. Mathematical Formulation of Given Problems 3. Objective Function and Constraint 4. Graphical Solution of Linear Programming 5. Types of Linear Programming Problems 6. Ellipse and Its Standard Equation and Other Concepts 7. hyperbola and Its Standard Equation and Other Concepts Chapter 13 Probability Topics Covered 1. Revision of Probability Studied in Previous Classes  2. Conditional Probability ad Its Properties 3. Multiplication Theorem on Probability 4. Independent Events 5. Bays Theorem 6. Total probability 7. Random Variables and Probability Distribution 8. Probability Distribution of Random Variables 9. Mean of Random Variables 10.  Variance of Random Variables 11.  Bernoulli Trials and Binomial Distribution