| Additional Questions for each Class with Solution | ||||||
|---|---|---|---|---|---|---|
| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 11th Mathematics Additional Questions
Chapter 1 Sets
This chapter covers the concepts of sets, their representation, types, and operations such as union, intersection, and difference.
Chapter 2 Relations and Functions
Topics include the definition and types of relations, functions, domain, range, and the concept of one-to-one, onto, and inverse functions.
Chapter 3 Trigonometric Functions
The chapter introduces the six trigonometric ratios (sine, cosine, tangent, etc.), their graphs, and the fundamental identities related to trigonometry.
Chapter 4 Principle of Mathematical Induction
Students learn to prove mathematical statements using induction, including understanding the base case and the induction step.
Chapter 5 Complex Numbers and Quadratic Equations
This chapter covers complex numbers, their operations, and the polar form representation. It also addresses solving quadratic equations with complex roots.
Chapter 6 Linear Inequalities
The chapter explains linear inequalities, their graphical solutions, and applications in real-life problems.
Chapter 7 Permutations and Combinations
Students learn about the basic principles of counting, including the factorial notation, permutations, combinations, and their applications.
Chapter 8 Binomial Theorem
This chapter introduces the binomial expansion, properties of binomial coefficients, and the application of the binomial theorem for positive integer exponents.
Chapter 9 Sequences and Series
Students explore arithmetic sequences and geometric sequences, and learn how to find their nth terms and sum of series.
Chapter 10 Straight Lines
This chapter covers the different forms of equations of straight lines, the slope, distance between two points, and the area of a triangle formed by lines and coordinates.
Chapter 11 Conic Sections
Topics include the equations of conic sections: circles, ellipses, parabolas, and hyperbolas, and their properties.
Chapter 12 Introduction to Three Dimensional Geometry
Students learn about the coordinates of points in three dimensions, the distance formula, and the section formula for dividing a line segment in 3D.
Chapter 13 Limits and Derivatives
This chapter introduces the concept of limits and derivatives, focusing on basic differentiation techniques and their physical interpretations.
Chapter 14 Mathematical Reasoning
Students learn logical reasoning, mathematical statements, and the principles of reasoning used in mathematical proofs.
Chapter 15 Statistics
This chapter deals with the collection, organization, and representation of data, measures of central tendency (mean, median, mode), and standard deviation.
Chapter 16 Probability
This chapter extends probability concepts from earlier classes and explores probability distributions, events, and theorems related to the probability of events.