HBSE Class 11 Mathematics Syllabus 2024-2025: The Haryana Board Of School Education has made available the syllabus for Class 11 Mathematics. You can easily find the direct link over here. The syllabus and the question paper design can easily help the students prepare for the exam beforehand. Various elements are amalgamated together to make the syllabus.
General Instructions For The Exam
- There will be an Annual Examination based on the entire syllabus.
- The Annual Examination will be of 80 marks and 20 marks weightage shall be for Internal Assessment.
- For Internal Assessment: There will be a Periodic Assessment that will include:
- For 6 marks- Three SAT exams will be conducted and will have a weightage of 06 marks towards the final Internal Assessment.
- For 2 marks- One half-yearly exam will be conducted and will have a weightage of 02 marks towards the final Internal Assessment.
For 2 marks- The subject teacher will assess and give a maximum of 02 marks for CRP (Classroom participation). - For 5 marks- A project work to be done by students and will have a weightage of 05 marks towards the final Internal Assessment.
- For 5 marks- 05 marks will be awarded for student's attendance as follows:
- 75% to 80% - 01 marks
- Above 80% to 85% - 02 marks
- Above 85% to 90% - 03 marks
- Above 90% to 95% - 04 marks
- Above 95% to 100% - 05 marks
Course Structure For HBSE Class 11 Mathematics Exam
SR. NO. | UNIT | CHAPTER’S NAME | MARKS |
I | Sets and Functions | Sets | 23 |
Relations and functions | |||
Trigonometric functions | |||
II | Algebra | Complex numbers and quadratic equations | 25 |
Linear inequalities | |||
Permutations and combinations | |||
Binomial theorem | |||
Sequences and series | |||
III | Coordinate Geometry | Straight lines | 15 |
Conic sections | |||
Introduction to three-dimensional geometry | |||
IV | Calculus | Limits and derivatives | 05 |
V | Statistics and Probability | Statistics | 12 |
Probability | |||
Total | 80 | ||
Internal Assessment | 20 | ||
Grand Total | 100 |
HBSE Class 11 Mathematics Course Content
Unit I: Sets and Functions
1. SETS
Sets and their representations, Empty sets, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations), Universal sets, Venn diagrams, Operations on sets (union, intersection, difference). Complement of a set, properties of complement.
2. RELATIONS AND 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 (up to 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.
3. TRIGONOMETRIC FUNCTIONS
Positive and negative angles. Measuring angles in radians and degrees and conversion from one measure to another Definition of trigonometric functions with the help of unit circle. Sign of trigonometric functions. Domain and range of trigonometric functions and their graphs. Trigonometric Functions of sum and difference of two angles.
Unit II: Algebra
4. COMPLEX NUMBERS AND QUADRATIC EQUATIONS
Complex numbers, Algebra of complex numbers, The modulus and the conjugate of a complex number, Argand plane.
5. LINEAR INEQUALITIES
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number lines.
6. PERMUTATIONS AND COMBINATIONS
The fundamental principle of counting Factorial n (nl) Permutations and combinations, derivation of Formulae for P(n,r) and C(n,r) and their connections, simple applications.
7. BINOMIAL THEOREM
Binomial theorem for positive integral indices, Pascal's triangle, binomial theorem for positive integer n, simple applications.
8. SEQUENCES AND SERIES
Sequences and Series, Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., geometric mean (G.M.), the relation between A.M. and G.M.
Unit III: Coordinate Geometry
9. STRAIGHT LINES
Brief recall of two-dimensional geometry from earlier classes. The slope of a line (slope of a line when coordinates of any two points on the line are given, condition for parallelism and perpendicularity of lines in terms of their slopes, angle between two lines) Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line.
10. 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 circle, parabola, ellipse, and hyperbola
11. INTRODUCTION TO THREE-DIMENSIONAL GEOMETRY
Coordinate axes and coordinate planes in three dimensions Coordinates of a point. Distance between two points.
Unit IV: Calculus
12. LIMITS AND DERIVATIVES
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, derivative of sum, difference, product, and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit V: Statistics and Probability
13. STATISTICS
Measures of Dispersion: Range, Mean deviation, variance, and standard deviation of ungrouped/grouped data.
14. PROBABILITY
Events; occurrence of events, types of events, algebra of events ('not', 'and' and 'or' events), exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, Probability of an event, probability of 'not', 'and' and 'or' events.
Question Paper Design
COMPETENCIES | Percentage | MARKS |
Knowledge | 40% | 32 |
Understanding | 30% | 24 |
Application | 20% | 16 |
Skill | 10% | 8 |
100% | 80 |
Question Typology For HBSE Class 11 Mathematics
Type of Question | Marks | No. | Description | Total Marks |
Objective Questions | 1 | 20 | 12 Multiple Choice Questions, 3 One Word answers, 3 Fill in the blanks 2 Assertion-Reason-based Questions | 20 |
Very Short Answer Type Questions | 2 | 5 | The internal choice will be given in any two questions. | 10 |
Short Answer Type Questions | 3 | 6 | The internal choice will be given in any two questions. | 18 |
Long Answer Type Questions | 5 | 4 | Internal choice will be given in all questions. | 20 |
Source Based Questions | 4 | 3 | 3 Source-based/Case-based/ Passage-based questions. | 12 |
Total | 38 | 80 |
Students can easily take a detailed look at the syllabus with the help of this article. For more latest updates, keep following Jagran Josh.
HBSE Class 11 Mathematics Syllabus 2024-25 Free PDF Download
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