Jkbose previous year question paper 2022 set A, B, and C

What Will You Learn?

• The syllabus for Class 12 Mathematics typically follows a standard format set by educational boards like CBSE (Central Board of Secondary Education) or similar. Here's an overview of the typical syllabus for Class 12 Mathematics:
• 1. Relations and Functions
• Types of relations: Reflexive, symmetric, transitive, and equivalence relations.
• Functions: One-one and onto functions, composition of functions, inverse of a function.
• Binary operations.
• 2. Algebra
• Matrices:
• Concept, notation, equality, types of matrices, zero and identity matrix.
• Operations: Addition, multiplication, transpose, and symmetric and skew-symmetric matrices.
• Determinants and properties, finding the inverse of a matrix using the adjoint method.
• Determinants:
• Determinant properties, minors, cofactors.
• Applications: Solving systems of linear equations using Cramer's Rule.
• 3. Calculus
• Continuity and Differentiability:
• Derivatives of composite functions, implicit functions, and inverse trigonometric functions.
• Exponential and logarithmic functions differentiation.
• Logarithmic differentiation.
• Applications of Derivatives:
• Rate of change, increasing/decreasing functions.
• Tangents and normals, maxima and minima.
• Integrals:
• Integration as an inverse process of differentiation.
• Indefinite integrals, techniques of integration (substitution, partial fractions, integration by parts).
• Definite integrals and their properties.
• Applications of Integrals:
• Area under simple curves, including lines, parabolas, and ellipses.
• Differential Equations:
• Basic concepts, formation of differential equations, solutions (general and particular).
• Methods of solving first-order, first-degree differential equations.
• 4. Vectors and Three-Dimensional Geometry
• Vectors:
• Basics, types of vectors, addition of vectors, scalar multiplication.
• Dot product, cross product, and their properties.
• Three-Dimensional Geometry:
• Line and plane equations.
• Angle between two lines, two planes, or a line and a plane.
• Shortest distance between two skew lines.
• 5. Linear Programming
• Introduction to linear programming and related terminology.
• Formulation of linear programming problems (LPP).
• Graphical method of solving LPPs for two variables.
• 6. Probability
• Conditional probability, multiplication theorem.
• Independent events, Bayes' theorem.
• Random variables and probability distributions.
• Mean and variance of random variables, Binomial distribution.
• Exam Pattern and Marks Distribution
• The syllabus is generally assessed in two main components:
• Theory Exam (80 marks)
• Internal Assessment/Practical (20 marks)
• This syllabus outline represents the standard content for Class 12 Mathematics as per CBSE and other similar educational boards. For detailed, updated content, or any changes specific to your board, it's recommended to check the official website of the education board you're following.