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.

# [2023-24] CBSE Maths Syllabus For Class 8

Chapters No |
Chapter Name |

Chapter 01 |
Rational NumbersTopics Covered 1. Introduction of Numbers2. Properties Of Rational Numbers3. Number Line4. Rational Number Between Two Rational Numbers |

Chapter 02 |
Linear Equation in One VariableTopics Covered 1. Introduction of Linear Equation One Variable2. Solving Method3. Word Problems Application4. Reducing Equation To Simplest Form5. Equation Reducible to Linear Form |

Chapter 03 |
Understanding QuadrilateralsTopics Covered 1. Introduction of Quadrilaterals2. Introduction of Polygons3. Angles Sum Property4. Exterior Angles Property5. Parallelograms and Its Properties6. Rectangle and Its Properties7. Square and Its Properties8. Rhombus and Its Properties9. Kites and Its Properties10. Trapezium and Its Properties |

Chapter 04 |
Practical GeometryTopics Covered 1. Construction of Quadrilaterals When2. 4 Sides & 1 Diagonal Given3. 2 Diagonals & 3 Sides Given4. 2 Adjacent Sides & 3 Angles Given5. 3 Sides & 2 Included Angles Given6. Other Special Properties Given |

Chapter 05 |
Data HandlingTopics Covered 1. Raw Data, Group Data2. Frequency, Organizing Data3. Bar Graph4. Histogram5. Pie Chart6. Probability |

Chapter 06 |
Square and Square RootTopics Covered 1. Introduction of Square Numbers2. Properties of Square Numbers3. Finding Square of Numbers4. Introduction of Square Root5. Finding Square Root of Numbers6. Square Root of Decimals7. Estimating Square Root |

Chapter 07 |
Cube and Cube RootTopics Covered 1. Introduction of Cube Numbers2. Properties of Cube Numbers3. Finding Cube of Numbers4. Introduction of Cube Root5. Finding Cube Root of Numbers |

Chapter 08 |
Comparing QuantitiesTopics Covered 1. Introduction of Comparing Quantities2. Ratio & Properties3. Percentage4. Profit & Loss5. Simple Interest6. Compound Interest |

Chapter 09 |
Algebraic Expression & IdentitiesTopics Covered 1. Introduction of Algebraic Expression2. Factors & Coefficients3. Polynomials4. Addition of Polynomials5. Subtraction of Polynomials6. Multiplication of Polynomials7. Division of Polynomials8. Multiplication of Polynomials9. Division of Polynomials10. Equation & Identities11. Algebraic Identities |

Chapter 10 |
Visualizing Solid ShapesTopics Covered 1. Introduction of 3D Shapes2. Face, Edges & Vertices3. Space, Maps4. Eular’s Formula |

Chapter 11 |
MensurationTopics Covered 1. Area & Perimeter of 2D Figures2. Surface Area & Volume of 3D Figures |

Chapter 12 |
Exponent and PowersTopics Covered 1. Introduction of Exponent/Power/Index2. Laws of Exponents3. Standard Form of Numbers4. Comparison of Very Small & Large Numbers |

Chapter 13 |
Direct and Inverse ProportionTopics Covered 1. Direct Proportion2. Inverse Proportion |

Chapter 14 |
FactorizationTopics Covered 1. Introduction of Factors2. Method of Factorization3. Factorization by Common Factors4. Factorization by Regrouping Terms5. Factorization by Identities6. Factorization by middle Term Splitting |

Chapter 15 |
Introduction to GraphsTopics Covered 1. Introduction of Linear Graphs2. Rectangular Axes3. Co-ordinates of a Point4. Plotting The Points |

Chapter 16 |
Playing With NumbersTopics Covered 1. General Form of Two Digits Numbers2. General Form of Three Digits Numbers3. Test of Divisibility4. 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.

# [2023-24] CBSE Maths Syllabus For Class 9

Chapters No |
Chapter Name |

Chapter 01 |
Numbers SystemTopics Covered 1. Introduction to Number Line2. Rational and Irrational Numbers3. Locating Irrational Number On Number Line4. Real Number and Their Decimal5. Terminating, Non-Terminating and Recurring Decimals6. Expressing Recurring Decimal To Fraction and Vice-Versa7. Finding Rational Number Between Two Irrational Number8. Finding Irrational Number Between Two Irrational Number9. Representing Real Number On The Number Line10. Mathematical Operation on Real Number11. Geometrical Representation of Root X12. Rationalization13. Laws of Exponent |

Chapter 02 |
PolynomialTopics Covered 1. Algebraic Expression and Polynomial2. Identification of Polynomial3. Types, Degree, Zeroes of Polynomial4. Remainder Theorem5. Factor Theorem6. Algebraic Identities |

Chapter 03 |
Co-ordinate GeometryTopics Covered 1. Introduction to Cartesian System2. Co-ordinate of Point3. Sign of x-coordinate and y-coordinate4. Plotting the Points |

Chapter 04 |
Linear Equation in Two VariablesTopics Covered 1. Linear Equation in Two Variables as ax + by + c = 02. Solving of Linear Equation in Two Variables3. Equation of Axes and Its Parallel Equations4. Graphical Solution of Linear Equations In Two Variables |

Chapter 05 |
Euclid GeometryTopics Covered 1. Euclid’s Definition, Axioms, Theorems2. Euclid’s Five Postulates3. Equivalent Version of Fifth Postulates |

Chapter 06 |
Lines and AnglesTopics Covered 1. Introduction to Line and Angles2. Basic Terms and Definition About Lines3. Different Types of Angles4. Intersecting Lines and Non-Intersecting Lines5. Linear Pairs of Angles6. Transversal Line7. Transversal Line of Parallel Lines8. Exterior Angle of a Triangle |

Chapter 07 |
TriangleTopics Covered 1. Introduction of Congruence2. SAS, SSS, ASA, AAS, RHS3. Some Properties of a Triangle4. Triangle Inequality |

Chapter 08 |
QuadrilateralsTopics Covered 1. Introduction of Quadrilaterals2. Angle Sum Property of Quadrilateral3. Types of Quadrilaterals4. Properties of Parallelogram5. Conditions for Quadrilateral to be Parallelogram6. Mid-Point Theorem |

Chapter 09 |
Area of Parallelogram and TriangleTopics Covered 1. Figures on Same Base and Between Same Parallel Lines2. Parallelogram on the Same Base and Between the Same Parallel Lines3. Triangles on the Same Base and Between the Same Parallel Lines4. Median of a Triangle |

Chapter 10 |
CirclesTopics Covered 1. Circle and Its Related Terms2. Angle Subtended by a Chord3. Perpendicular from Center to the Chord4. Circle Through the Three Points5. Equal Chords and Their Distance from the Center6. Angle Subtended by an Arc7. Cyclic Quadrilaterals |

Chapter 11 |
ConstructionTopics Covered 1. Construction of Bisector of an Angle2. Construction of Perpendicular Bisector of Line Segment3. Construction of 30, 60, 75, 90, 120, and 150 Degree4. Construction of Triangle When Base, Base Angles and Sum of Other Two Sides are Given5. Construction of Triangle When Base, Base Angles and Difference of Other Two Sides are Given6. Construction of Triangle When Base Angles and Perimeter are Given |

Chapter 12 |
Heron’s FormulaTopics Covered 1. Area of Triangle When Base and Height Are Given2. Area of Equilateral Triangle3. Area of Triangle by Heron’s Formula4. Application of Heron’s Formula |

Chapter 13 |
Surface Area and VolumeTopics Covered 1. Surface Area and Volume of Cuboid2. Surface Area and Volume of Cube3. Surface Area and Volume of Cylinder4. Surface Area and Volume of Cone5. Surface Area and Volume of Sphere6. Surface Area and Volume of Combination of Solids Figures |

Chapter 14 |
StatisticsTopics Covered 1. Raw Data and Organised Data2. Frequency Distribution Table3. Measures of Central Tendency |

Chapter 15 |
ProbabilityTopics Covered 1. Probability and its Related Terms2. 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.

# [2023-24] CBSE Maths Syllabus For Class 10

Chapters No |
Chapter Name |

Chapter 01 |
Real NumbersTopics Covered 1. Introduction to Real Numbers2. Euclid’s Division Lemma3. Difference Between Algorithm and Lemma4. Euclid Division Algorithm to find HCF5. Fundamental Theorem of Arithmetic6. Relation Between HCF and LCM7. Introduction to Irrational Numbers8. Proving RootX is an Irrational Number9. Rational Number and Its Decimal Expansion10. Terminating and non-Terminating Decimals |

Chapter 02 |
PolynomialsTopics Covered 1. Introduction of Polynomials2. Degree of Polynomials3. Types, Degree, Zeroes of Polynomial4. Remainder Theorem5. Factor Theorem6. Algebraic Identities7. Graph of Quadratic Polynomial8. Relation Between Zeroes and Coefficients of Quadratic Polynomial9. Relation Between Zeroes and Coefficients of Cubic Polynomial10. Division Algorithm for Polynomial |

Chapter 03 |
Pair of Linear Equation in Two VariablesTopics Covered 1. General Form of Linear Equations in Two variables2. Checking Number of Solutions of Pair of Linear Equation in Two variables3. Method of Solving of Pair of Linear Equation in Two variables4. Word Problems on Pair of Linear Equation in Two variables |

Chapter 04 |
Quadratic EquationsTopics Covered 1. Introduction to Standard Form of Quadratic Equation2. Solution of Quadratic Equation By Factorization3. Solution of Quadratic Equation By Completing The Square4. Solution of Quadratic Equation By Quadratic Formula5. Nature of Roots, Sum and Product of Roots |

Chapter 05 |
Arithmetic Progression (AP)Topics Covered 1. Introduction of Sequence, Progression and Series2. Definition of Arithmetic Progression and Its Related Terms3. General Form of AP4. nth Term of an AP From Start and Last5. Sum of n Terms of an AP6. Arithmetic Mean |

Chapter 06 |
Similar TrianglesTopics Covered 1. Introduction of Similar Triangles2. Basic Proportionality Theorem (Thele’s Theorem)3. Similar Triangles Definition4. Criteria For Similarity of Triangles SAS, AA, SSS5. Area of Similar Triangles6. Pythagoras Theorem7. Apollonuis Theorem8. Important Results |

Chapter 07 |
Co-ordinate GeometryTopics Covered 1. Distance Formula2. Section Formula3. Mid Point Formula4. Area of Triangle |

Chapter 08 |
TrigonometryTopics Covered 1. Introduction to Trigonometry2. Definition of Trigonometric Ratio3. Trigonometric Ratios For Specific Angles4. Trigonometric Ratios For Complementary Angles5. Trigonometrical Identities |

Chapter 09 |
Application of TrigonometryTopics Covered 1. introduction of Angles of Elevation and Depression2. Drawing the Rough Sketch of Given Situation3. Using Trigonometry in Sketch |

Chapter 10 |
CirclesTopics Covered 1. Introduction to Tangents and Secants2. Theorem Related to Tangent to the Circle3. Number of Tangents from a Point to the Circle4. Alternate Segment Theorem |

Chapter 11 |
ConstructionTopics Covered 1. Division of Line Segments2. Construction of Similar Triangles3. Construction of Tangents to the Circle |

Chapter 12 |
Area Related To CircleTopics Covered 1. Perimeter and Area of Circle2. Area of Sector and Segment3. Area of Combination of Plane Figures |

Chapter 13 |
Surface Area and VolumeTopics Covered 1. Surface Area and Volume of Cuboid2. Surface Area and Volume of Cube3. Surface Area and Volume of Cylinder4. Surface Area and Volume of Cone5. Surface Area and Volume of Sphere6. Surface Area and Volume of Combination of Solids Figures7. Conversion of Solids From One Shape To Another8. Frustum of Cones |

Chapter 14 |
StatisticsTopics Covered 1. Mean, Median, Mode of Ungrouped Data2. Mean of Grouped Data By Direct Method3. Mean of Grouped Data By Step Deviation Method3. Mean of Grouped Data By Short Method3. Median of Grouped Data3. More Than and Less Than Ogive3. Mode of Grouped Data |

Chapter 15 |
ProbabilityTopics Covered 1. Theoretical or Classical Probability2. Sum of Probability of Occurrence and Non-Occurrence Event3. Types of Events4. 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.

# [2024-24] CBSE Maths Syllabus For Class 11

Chapters No |
Chapter Name |

Chapter 01 |
Set TheoryTopics Covered 1. Definition of Sets2. Representation of Sets3. Types of Sets: Empty, Finite, Infinite, Equal, Null, Void4. Definition of Subsets5. Finding Subset of Set and Their Representation6. Intervals and Their Representations7. Power Set and Finding Number of Elements in Power Set8. Universal Set and Their Representation9. Venn Diagram of Set10. Operation of Set: Union, Intersection, Difference11. Complement of Set12. Important Laws of Set: Complement, De-Morgan etc.13. Word Problems on Union and Intersection of Two Sets |

Chapter 02 |
Relations and FunctionsTopics Covered 1. Cartesian Product of Sets2. Definition of Relations and Number of Relation3. Concept of Domain, Range and Co-Domain4. Definition of Function5. Real Valued Function6. Identity Function and Their Graph7. Constant Function and Their Graph8. Quadratic Function and Their Graph9. Cubic Function and Their Graph10. Rational Function and Their Graph11. Modulus Function and Their Graph12. Signum Function and Their Graph13. Greatest Integer Function and Their Graph14. Algebra of Real Function15. Finding the Domain and Range of the Functions |

Chapter 03 |
Trigonometric FunctionTopics Covered 1. Introduction of Angle and Their Measurement2. Radian Measurement and Their Mathematical Definition3. Relation Between Degree and Their Conversion4. Trigonometric Function and Identities5. Sign of Trigonometric Function in Different Quadrant6. Domain and Range of Trigonometric Function7. Trigonometric Function of Sum and Difference of Two Angles8. Trigonometric Function of Double, Triple and Half of the Angles9. Some Important Formula10. Trigonometric Equations and Their Principle and General Solutions11. Some important Exercise |

Chapter 04 |
Mathematical InductionTopics Covered 1. Introduction of Statements2. Introduction of Mathematical Induction3. Principle of Mathematical Induction |

Chapter 05 |
Complex NumbersTopics Covered 1. Introduction of Square Root of Negative Numbers2. Power of Iota (i)3. Complex Numbers4. Algebra of Complex Numbers5. Finding Square Root of Negative Real Numbers6. Complex Number Based Identities7. Modulus, Argument and Conjugate of a Complex Numbers8. Multiplicative Inverse of Complex Numbers9. Introduction of Argand Plane and Polar Co-ordinate10. Polar Representation of Complex Numbers |

Chapter 06 |
Quadratic EquationsTopics Covered 1. Introduction of Quadratic Equation2. Graph of Quadratic Equation3. Sum and Product of Roots of Quadratic Equation |

Chapter 07 |
Linear inequalitiesTopics Covered 1. introduction of Inequalities2. Graphical Solution of Linear Inequalities in One Variable3. Graphical Solution of Linear Equation in Two Variables4. Graphical Solution of Linear Inequalities in Two Variables |

Chapter 08 |
Permutation and CombinationTopics Covered 1. Fundamental Principle of Counting2. Introduction of Permutation3. Permutation When All Objects Are Distinct4. Introduction of Factorial5. Formula for Permutation6. Permutation When All Objects Are NOT Distinct7. Introduction of Combination 8. Difference Between Permutation and Combination9. Formula for Combination10. Important Formula and Concept Related to Combination |

Chapter 09 |
Binomial TheoremTopics Covered 1. Introduction of Binomial Theorem2. Binomial Theorem for Positive Index3. Some Special Cases In Formula of Binomial Theorem4. General and Middle Term Concept5. Independent Term Concept |

Chapter 10 |
Sequence and SeriesTopics Covered 1. Difference Among Sequence, Progression and Series2. Terms of a Sequence3. Introduction of Arithmetic Progression (AP)4. General Term of an AP5. Sum of n Terms of an AP6. Arithmetic Mean (AM)7. Introduction of Geometric Progression (GP)8. General Term of an GP9. Sum of n Terms of an GP10. Geometric Mean (GM)11. Relationship Between AM and GM 12. Sum of First n Natural Numbers13. Sum of Square of First n Natural Numbers14. Sum of Cube of First n Natural Numbers15. Sum of n Terms of Special Series |

Chapter 11 |
Straight LinesTopics Covered 1. Revision of Co-ordinate Geometry Studied in Previous Class2. Slope of Lines3. Condition for Perpendiculars and Parallelism4. Angle Between Two Lines5. Collinearity of Three Points By Using Slopes6. Various Forms of Equation of Line7. General Equation of Line and Its Different Forms8. Distance of a Point From a Line9. Distance Between Two Parallel Lines |

Chapter 12 |
Conic SectionTopics Covered 1. Introduction of Conic Section2. Section of Cone: Generated and Degenerated Conic Section3. Condition of Circle, Parabola, Ellipse and Hyperbola4. Circle and Its Standard Equation and Other Concepts5. Parabola and Its Standard Equation and Other Concepts 6. Ellipse and Its Standard Equation and Other Concepts7. hyperbola and Its Standard Equation and Other Concepts |

Chapter 13 |
Three Dimensional (3D) GeometryTopics Covered 1. Co-ordinate Axes and Co-ordinate Planes in 3D2. Co-ordinate of a Point in 3D Space3. Distance Between Two Points in 3D4. Section Formula in 3D |

Chapter 14 |
Limit and DerivativeTopics Covered 1. Concepts of Limit2. Left Hand Limit (LHL) and Right Hand Limit (RHL)3. Algebra of Limits4. Limits of Polynomial and Rational Function5. Important Formula of Limit6. Limit of Trigonometric Function7. Introduction of Derivatives8. Definition of Derivative of a Function f(x)9. Algebra of Derivative of Function10. Derivative of Polynomial and Trigonometric Function |

Chapter 15 |
Mathematical ReasoningTopics Covered 1. Introduction of Statement2. Negative of Statement3. Compound Statement4. Special Words and Phrases5. Quantifiers 6. Implications7. Contrapositive and Converse8. Validating Statement |

Chapter 16 |
StatisticsTopics Covered 1. Introduction of Statistics2. Measure of Dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation 3. Mean Deviation of Grouped and Ungrouped Data4. Variance and Standard Deviation5. Standard Deviation of Discrete Frequency Distribution 6. Standard Deviation of Continuous Frequency Distribution 7. Coefficient of Variance |

Chapter 17 |
ProbabilityTopics Covered 1. Definition of Random Experiment, Outcomes, Sample Space Event2. Types of Events 3. Algebra of Events4. Mutually Exclusive Event5. Exhaustive Event6. Axiomatic Approach to Probability7. Probability of Equally Likely Outcomes8. 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.

# [2023-24] CBSE Maths Syllabus For Class 12

Chapters No |
Chapter Name |

Chapter 01 |
Relation and FunctionTopics Covered 1. Definition of Relation2. Types of Relations3. Definition of Functions4. Types of Functions5. Composition of Functions6. Inverse of Function7. Composition of Function8. Binary Operations |

Chapter 02 |
Inverse Trigonometrical FunctionsTopics Covered 1. Basic Concept of Trigonometry2. Condition To Be Inverse Trigonometric Function3. Domain and Range of Functions4. Properties of Inverse Functions |

Chapter 03 |
MatricesTopics Covered 1. Introduction of Matrices2. Types of Matrices3. Equality of Matrices4. Mathematical Operation on Matrices5. Properties of Addition of Matrices6. Properties of Scalar Multiplication of Matrices7. Multiplication of Matrices8. Properties of Multiplication of Matrices9. Transpose of Matrices10. Properties of Transpose of Matrices11. Symmetric and Skew-Symmetric Matrices12. Transformation of Matrices13. Invertible of Matrices |

Chapter 04 |
DeterminantsTopics Covered 1. Introduction of Determinants2. Expansion of Determinants3. Properties of Determinants4. Area of Triangle in Determinants Form5. Minors and Cofactor of Matrices6. Adjoint and Inverse of Matrices7. Singular and Non-Singular Matrices8. Application of Matrices and Determinants |

Chapter 05 |
Continuity and DifferentiablityTopics Covered 1. Introduction of Continuity2. Method of Checking of a Function to be Continuous3. Algebra of Continuous Function4. Introduction of Differentiablity5. Method of Checking of a Function to be Differentiable6. Derivative of Composite Function 7. Chain Rule of Differentiation8. Derivative of Implicit Function9. Derivative of Inverse Trigonometric Function10. Exponential Function and Its Properties and Graph11. Exponential Function and Its Properties and Graph12. Logarithmic Differentiation13. Derivative of Function in Parametric Function Forms14. Second Order Derivative15. Rolle’s Theorem16. Mean Value of Theorem |

Chapter 06 |
Application of DerivativeTopics Covered 1. Rate of Change of Quantities2. Increasing and Decreasing Function3. Tangent and Normal4. Approximation5. Maxima and Minima6. First Derivative Test7. Second Derivative Test8. Maxima and Minima Derivative Test |

Chapter 07 |
IntegrationTopics Covered 1. Integral As the Inverse of Differentiation2. Integration Formulas3. Geometric Meaning of Indefinite Integrals4. Properties of Indefinite Integrals5. Comparison Between Differentiation and Integration6. Method of Integration By Substitution7. Method of Integration By Partial Fraction8. Method of Integration By Parts9. Integration By Using Trigonometrical Identities10. Integration of Some Particular Functions11. Integration of Some Important Functions12. Introduction of Definite Integration13. Definite Integration as Limit of a Sum14. Area Function of Definite Integration15. Some Important Properties of Definite Integrals |

Chapter 08 |
Application of IntegralsTopics Covered 1. Area Under Simple Curve2. Area of Region Bounded By a Curve and a Line3. Area Between Two Curve |

Chapter 09 |
Differential EquationsTopics Covered 1. Introduction to Differential Equations2. Order of Differential Equation3. Degree of Differential Equation4. General and Particular Solution of Differential Equation5. Formation of Differential Equations6. Method of Solving First Order and First Degree Differential Equation7. Homogeneous Equation of Differential Equation8. Linear Differential Equation |

Chapter 10 |
Vector AlgebraTopics Covered 1. Introduction of Scalar and Vector2. Direction Cosines3. Types of Vectors4. Types of Vectors5. Addition of Vectors and Its Vectors6. Multiplication of Vector By Scalar7. Components of Vectors8. Section Formula9. Scalar Product of Two Vectors and Its Properties10. Vector Product of Two Vectors and Its Properties11. Projection of Vector on a Line 12. Area of Parallelogram |

Chapter 11 |
Three Dimensional (3D) GeometryTopics Covered 1. Direction Cosine and Direction Ratio of a Line2. Relation Between Direction Cosine of a Line3. Direction Cosine of Line Passing Through Two Points4. Equation of Line In 3D Through a Given Point and Given Parallel Vector5. Equation of Line In 3D Through Two Given Point6. Angle Between Two Lines7. Shortest Distance Between Two Lines8. Distance Between Two Skew Lines9. Distance Between Parallel Lines10. Equation of Plane in Normal Form11. Equation of a Plane Perpendicular To A Given Vector12. Equation of Plane Passing Through Three Given Points13. Intercept Form of Equation of a Line14. Equation of Plane Passing Through Two Given Planes15. Coplanarity of Two Lines16. Angle Between Two Planes17. Distance of a Point From a Plane18. Angle Between a Line and Plane |

Chapter 12 |
Linear ProgrammingTopics Covered 1. Introduction to Linear Programming and Mathematical Formulation2. Mathematical Formulation of Given Problems3. Objective Function and Constraint4. Graphical Solution of Linear Programming5. Types of Linear Programming Problems6. Ellipse and Its Standard Equation and Other Concepts7. hyperbola and Its Standard Equation and Other Concepts |

Chapter 13 |
ProbabilityTopics Covered 1. Revision of Probability Studied in Previous Classes 2. Conditional Probability ad Its Properties3. Multiplication Theorem on Probability4. Independent Events5. Bays Theorem6. Total probability7. Random Variables and Probability Distribution8. Probability Distribution of Random Variables9. Mean of Random Variables10. Variance of Random Variables11. Bernoulli Trials and Binomial Distribution |