Hello,

The UP Board Class 12 Mathematics syllabus is structured into six units, each covering specific topics. Here's a breakdown:

1. Relations and Functions(10 Marks):

• Relations and Functions: Types of relations—reflexive, symmetric, transitive, and equivalence relations.
• Inverse Trigonometric Functions: Definition, range, domain, and properties.

2. Algebra(15 Marks):

• Matrices: Concept, notation, equality, types (zero, identity, symmetric, skew-symmetric), and operations (addition, multiplication).
• Determinants: Properties, minors, cofactors, applications, and inverse of matrices.

3. Calculus (44 Marks):

• Continuity and Differentiability: Differentiation of composite functions, inverse trigonometric functions, and implicit functions.
• Applications of Derivatives: Rate of change, tangents, normals, maxima, and minima.
• Integrals: Integration as the inverse of differentiation, methods of integration, and applications in finding areas.
• Differential Equations: Formation, order, degree, and solutions of differential equations.

4. Vectors and Three-Dimensional Geometry (18 Marks):

• Vectors: Magnitude, direction, types, addition, scalar multiplication, and dot and cross products.
• Three-Dimensional Geometry: Direction cosines/ratios, equations of lines and planes, and angles between them.

5. Linear Programming (5 Marks):

• Linear Programming Problems: Formulation and graphical solutions.

6. Probability (8 Marks):

• Conditional Probability: Multiplication rule, independent events, Bayes' theorem.
• Random Variables: Probability distributions, mean, variance, and binomial distribution.

Hello aspirant,

The 12th UPMSP model paper is released in 2024 by the Uttar Pradesh Board of High School and Intermediate Education.

Students can download the 2024, 2023, 2022, 2021, 2020, and 2019 UP Board 12th model papers as PDF files. The 12th UP Board model papers 2024 can be used to learn about the most recent exam patterns, question formats, and other significant exam-related information.

To download the model paper, you can visit our website by clicking on the link given below.

https://school.careers360.com/boards/upmsp/up-board-12th-model-paper

Thank you

Hope this information helps you.

If you passed 12th in PCB (Physics, Chemistry, Biology) in 2023, you need to study PCM (Physics, Chemistry, Math) to be eligible for BTech in IIT Bombay through JEE Advanced. You can join 12th again with PCM subjects in 2024 and appear for JEE Main and Advanced after passing. This way, you become eligible because math is compulsory for engineering. So yes, you can do 12th again with PCM and then try for IIT through JEE. Keep working hard!

Hello,

Yes, if you have completed your intermediate with PCM from the UP Board, you can pursue intermediate with PCM again from the CBSE Board, provided you meet the eligibility criteria set by the CBSE Board. You should carefully read and fulfill the rules and requirements of the CBSE Board for intermediate admission, and if you meet them, you can pursue intermediate with PCM from the CBSE Board.

Hope this helps you,

Thank you

Hello aspirant,

The 12th UPMSP model paper is released in 2024 by the Uttar Pradesh Board of High School and Intermediate Education. The UPMSP 12th question papers for the Commerce, Science, and Arts streams are provided below. Students can download the 2024, 2023, 2022, 2021, 2020, and 2019 UP Board 12th model papers as PDF files. The 12th UP Board model papers 2024 can be used to learn about the most recent exam patterns, question formats, and other significant exam-related information.

To get previous year question papers, you can visit our website by clicking on the link given below.

https://school.careers360.com/boards/upmsp/up-board-12th-model-paper

Thank you

Hope this information helps you.