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Karnataka PUC Syllabus 2025-26 for All Subjects- Download Karnataka 2nd PUC Syllabus PDF Here

Karnataka PUC Syllabus 2025-26 for All Subjects- Download Karnataka 2nd PUC Syllabus PDF Here

Edited By Manasvini Gupta | Updated on Aug 14, 2025 04:03 PM IST | #Karnataka PUC Board

The Department of Pre-University Education, Karnataka, releases the Karnataka Board 1st and 2nd PUC syllabus every academic year. The Karnataka 2nd PUC syllabus mentioned in this article is as per the previous year. The Karnataka 2nd PUC syllabus 2025–26 will be updated here once it is released by the board through the official website – kseab.karnataka.gov.in and pue.karnataka.gov.in.

Karnataka PUC subject-wise syllabus is generally released in PDF format, covering all important topics, marking schemes, and the revised exam pattern. Students are advised to always refer to the latest syllabus to ensure they are preparing with topics included in the final exam syllabus.

Going through the Karnataka Board 2nd PUC syllabus will help students understand the paper pattern and topic-wise marks distribution. Early completion of the syllabus enables better planning and strategic preparation for the Karnataka PUC exams 2026.

Previous Years' Karnataka PUC Syllabus Links:

  • Click here to download the reduced Karnataka 1st year syllabus.
  • Click here to get access to the Karnataka 2nd-year syllabus reduction.

Karnataka Board 2nd PUC Syllabus 2025-26

Students can go through the complete Karnataka PUC all-subject syllabus (as per the previous year) in the following tables. Refer to the important topics to score well in the Karnataka PUC result 2026. The updated 2025–26 syllabus will be provided once released by the board.

Karnataka 2nd PUC Mathematics Syllabus 2025-26

Chapter-wise Solution

Important Topics

Chapter 1 - Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One-to-one and onto functions

Chapter 2 - Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions

Chapter 3 - Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication, and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here, all matrices will have real entries)

Chapter 4 - Determinants

Determinant of a square matrix (up to 3 x 3 matrices), minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of a system of linear equations by examples, solving a system of linear equations in two or three variables (having a unique solution) using the inverse of a matrix.

Chapter 5 - Continuity and Differentiability

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, ???? sin−1 ? , cos−1 ? and tan−1 ?, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, the derivative of functions expressed in parametric forms. Second-order derivatives

Chapter 6 - Application of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations)

Chapter 7 - Integrals

Integration is the inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts. Evaluation of simple integrals of the following types and problems based on them. ∫ dx x 2 ± a 2, ∫ dx √x 2 ± a 2 , ∫ dx √a 2 − x 2 , ∫ dx ax2 + bx + c , ∫ dx √ax2+bx+c ∫ px + q ax2 + bx + c dx, ∫ px + q √ax2+bx + c dx, ∫ √a 2 ± x 2 dx, ∫ √x 2 − a 2 dx ∫√??2 + ?? + ? ??, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals

Chapter 8 - Application of Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

Chapter 9 - Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type: dy dx + py = q, where p and q are functions of x or constants. d? d? + px = q, where p and q are functions of y or constants.

Chapter 10 - Vectors

Vectors and scalars, the magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, and position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.

Chapter 11 - Three-Dimensional Geometry

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Chapter 12 - Linear Programming

Introduction, related terminology such as constraints, objective function, optimisation, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Chapter 13 - Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of a random variable.

Total

Karnataka PUC Economics Syllabus 2025-26

Following is the list of topics covered in the Karnataka PUC Economics syllabus 2025–26 (as per the previous year). Students are advised to download and print the syllabus to keep it handy for tracking their preparation and ensuring all topics are covered. Also, they should solve Karnataka PUC question papers to understand the exam’s difficulty level and pattern.

Chapters

Topics

Introductory Microeconomics

A Simple economy

Central problems of an economy

The organisation of economic activities

The centrally planned economy

The market economy

Positive and Normative Economics

Micro and Macro Economics

Plan of the Book.

Preliminary Notations and Assumptions

The Consumer's Budget

Budget set

Price ratio and the slope of the Budget line, and points below the Budget line

Changes in the Budget line

Preferences of the Consumer

Monotonic preferences

Substitution between goods

Diminishing rate of Substitution

Indifference Curve

The shape of the Indifference Curve

Indifference Map

Utility

Optimal Choice of the Consumer

Demand Curve and the Law of Demand

Normal and Inferior Goods

Substitution and Complements

Shifts in the Demand curve: movements along the Demand Curve and Shifts in the Demand Curve

Market Demand

Elasticity along a Linear Demand Curve

Factors Determining Price Elasticity of Demand for a Good

Production and Costs

TP, AP, and MP

The Law of Diminishing Marginal Product And The Law of Variable Proportions

Returns To Scale

Costs

Long-Run Costs

The Theory of the Firm under Perfect Competition

Perfect Competition

Revenue

Profit Maximisation

Supply Curve of a Firm

The Shut-down Point

The Normal Profit and Break-even Point

Determinants of a Firm's Supply Curve

Technological Progress

Input Prices

Unit Tax

Market Supply Curve

Market Equilibrium

Equilibrium, Excess Demand, Excess Supply

Wage Determination in the Labour Market

Shifts in Demand and Supply

Market Equilibrium: Free Entry and Exit

Non-competitive Markets

Simple Monopoly in The Commodity Market

Market Demand Curve is the Average Revenue Curve

Other Non-Perfectly Competitive Markets

Macroeconomics

Emergence of Macroeconomics

National Income Accounting

Some Basic Concepts of Macroeconomics

Circular Flow of Income And Methods of Calculating National Income

Income Method

Goods and Prices

GDP and Welfare

Money and Banking

Functions of Money

Demand for Money

The Supply of Money

Income Determination

Ex Ante And Ex Post

Movement Along with a Curve Versus Shift of a Curve

The Short Run Fixed Price Analysis of the Product Market

Government Budget and the Economy

Components of the Government Budget

Fiscal Policy

Open-Economy Macroeconomics

The Balance of Payments

The Foreign Exchange Market

The Determination of Income in An Open Economy

Trade Deficits, Saving and Investments

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Points to Remember regarding Karnataka PUC Syllabus 2025-26

Students should be familiar with the exam pattern to prepare effectively. The Karnataka 2nd PUC syllabus 2025–26 (as per the previous year) helps students understand the marking scheme, number of questions, duration of the test, and other important details. The updated syllabus and pattern for 2025–26 will be provided once released by the board.

Karnataka 2nd PUC Exam Pattern 2025–26

  • The Karnataka PUC exams are conducted in Kannada, Tamil, Malayalam, Marathi, Telugu, English, Sanskrit, and Urdu mediums.

  • Out of the six subjects, two are languages. Students can choose the other four from the following options: Biology, Business Studies, Chemistry, Computer Science, Economics, Electronics, English, French, Geography, Geology, Hindi, Hindustani Music, History, Home Science, Kannada, Karnataka Music, Logic, Malayalam, Marathi, Optional Kannada, Physics, Political Science, Psychology, Sociology, Statistics, Telugu, Tamil, Urdu, etc.

  • As per the Karnataka PUC syllabus, the minimum passing marks for each paper are 35%.

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Frequently Asked Questions (FAQs)

1. What are the Karnataka PUC deleted portions 2025-26?

Students can check the dropped/deleted topics list from the PDF link provided above in the article.

2. What are the passing marks in the Karnataka PUC 2026 exams?

To pass the Karnataka PUC exams, students must achieve a minimum of 35% marks for each subject. This criterion will apply uniformly across streams like commerce, arts, and science.

3. When will the Karnataka PUC 2026 result be released?

The Karnataka 2nd PUC result 2026 for exam-1 will be declared in April 2026.

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Questions related to Karnataka PUC Board

Have a question related to Karnataka PUC Board ?

Yes, the Karnataka board releases separate merit lists for Science, Commerce, and Arts streams. Each stream is evaluated individually, and the results are categorized accordingly. This allows students to be ranked within their respective fields based on their exam performance.


Hello

Since you are a domicile of Karnataka and have studied under the Karnataka State Board for 11th and 12th , you are eligible for Karnataka State Quota for admission to various colleges in the state.

1. KCET (Karnataka Common Entrance Test): You must appear for the KCET exam, which is required for admission to undergraduate professional courses like engineering, medical, and other streams. Your exam score and rank will determine your eligibility for counseling.

2. Minority Income under 5 Lakh : If you are from a minority community and your family's income is below 5 lakh, you may be eligible for fee concessions or other benefits depending on the specific institution. Some colleges offer reservations or other advantages for students in this category.

3. Counseling and Seat Allocation:

After the KCET exam, you will need to participate in online counseling.

You need to select your preferred colleges and courses.

Seat allocation will be based on your rank , the availability of seats in your chosen colleges and your preferences.

4. Required Documents :

Domicile Certificate (proof that you are a resident of Karnataka).

Income Certificate (for minority category benefits).

Marksheets (11th and 12th from the Karnataka State Board).

KCET Admit Card and Scorecard.

This process will allow you to secure a seat based on your KCET performance and your category .

check link for more details

https://medicine.careers360.com/neet-college-predictor

Hope this helps you .

Please clarify which college and course you would like to take admission to, so we can provide a better answer. In the meantime, check out the link below:

It includes the list of schools in Karnataka, board type, rating, admission procedure etc. You can choose any school that suits your interest.

Dear

According to the information yes, students who have scored less than 75% in their Karnataka Board exams can still appear for JEE Mains and JEE Advanced. However, there are specific criteria for eligibility:

JEE Mains

  • There is no specific minimum percentage required in the 12th board exams to appear for JEE Mains. Students just need to have passed their 12th standard or equivalent examination with Physics, Chemistry, and Mathematics.

JEE Advanced

  • For JEE Advanced, the criteria include being among the top 2,50,000 candidates in JEE Mains.

  • Students should have secured at least 75% aggregate marks (65% for SC, ST, and PwD candidates) in their 12th standard board exams or be in the top 20 percentile of successful candidates in their respective boards.

If a student doesn't meet the 75% mark but still falls within the top 20 percentile of their board, they are eligible to appear for JEE Advanced.

Thanks.

Hello,


When it comes to question papers, they are generally designed to assess your understanding of the subject and your ability to apply the concepts you've learned. While the blueprint or syllabus provides a general knowledge or area of what topics may be covered, the actual questions can vary.

Professors often create questions that test different aspects of the subject, such as theoretical knowledge, problem-solving skills, or critical thinking. Hence while the blueprint can give you an idea of what to expect, it's important to study the entire syllabus and be well prepared for any type of question.


Hope this helps,

Thank you

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