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JAC Class 12 Mathematics Syllabus 2023-24: The Jharkhand Academic Council (JAC) released the JAC 12th Mathematics Syllabus 2023-24 on its official website. Students appearing for the Jharkhand Board 12th exams 2024 can access the JAC 12th Mathematics syllabus 2023-24 PDF from jac.jharkhand.gov.in, as well as from this page. The JAC Class 12 Mathematics is one of the core subjects along with English, Physics, Biology, Chemistry, and Language paper for the science stream students. The JAC 12th Mathematics is one of the compulsory subjects for the students from the Commerce and Arts stream as well. Moreover, the JAC Class 12 Mathematics syllabus 2023-24 comprises 5 units which are further divided into 14 chapters.
The maximum mark allotted for the JAC Class 12 Mathematics exam 2024 is 100 marks. There will be no internal assessments or practical exams for the Jharkhand Board 12th Mathematics exam. There will be objective-type questions, short-answer type, and long answer type questions. Along with the JAC Class 12 syllabus 2023-24, students must also be aware of the Jharkhand JAC Class 12 Exam Pattern 2023-24 to get familiar with the marking scheme, difficulty level of the questions, types of questions that are asked, and more. The JAC class 12th board exams 2024 are likely to be conducted in March - April in pen and paper format. Read the complete article to know more about the JAC class 12 Mathematics syllabus 2023-24.
How to Download JAC Class 12 Mathematics Syllabus 2023-24?
Every year, the Jharkhand Board releases the JAC Class 12 Mathematics Syllabus 2023-24 at the start of the academic year on its official website. To download the syllabus from the official website follow the simple steps mentioned below:
- Step 1: Students need to open the JAC Board’s official website - jac.jharkhand.gov.in.
- Step 2: On the homepage under the "Others" section from the top right options, click on the "Syllabus" option.
- Step 3: A new page will open where you will have to click on "Click here to view syllabus".
- Step 4: Now click on "Syllabus for Secondary and Higher Secondary Classes".
- Step 5: Download the syllabus pdf and save it for further use.
JAC Class 12 Mathematics Syllabus 2023-24
Students can refer to the table below to learn about detailed unit wise JAC 12th Mathematics syllabus 2023-24:
Units | Chapters | Topics |
---|---|---|
Unit-I: Sets and Functions | Sets | Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement. |
Relations & Functions | Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R).Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions. | |
Trigonometric Functions | Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. | |
Unit-II: Algebra | Complex Numbers and Quadratic Equations | Need for complex numbers, especially√−1, to be motivated by inability to solve some of the |
Linear Inequalities | Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. | |
Permutations and Combinations | Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications. | |
Binomial Theorem | Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications. | |
Sequence and Series | Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. | |
Unit-III: Coordinate Geometry | Straight Lines | Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line. |
Conic Sections | Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle. | |
Introduction to Three-dimensional Geometry | Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points. | |
Unit-IV: Calculus | Calculus | Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions. |
Unit-V: Statistics and Probability | Statistics | Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data. |
Probability | Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events. |
The Jharkhand Academic Council (JAC) has released the JAC 12th Exam Date 2024 on its official website. The JAC Board 12th exam 2024 will conduct the exams from Feb 6 to 26, 024 in pen and paper mode.