Sure! Below is a list of important questions from each chapter of Class 11 Mathematics based on the NCERT syllabus. Note that these questions are commonly focusing on key concepts that students should master. For precise chapters, please refer to your NCERT Mathematics textbook.
Chapter 1: Sets
- Define a set and give examples.
- List the different types of sets with examples.
- Describe the union and intersection of sets.
- Solve problems related to Venn diagrams.
Chapter 2: Relations and Functions
- Define relations and types of relations.
- Explain functions and their types (one-one, onto, etc.).
- Find the domain and range of given functions.
- Describe the composition of functions.
Chapter 3: Trigonometric Functions
- Define the trigonometric ratios of angles.
- Prove basic trigonometric identities.
- Solve trigonometric equations.
- Apply trigonometry in height and distance problems.
Chapter 4: Principle of Mathematical Induction
- Prove a statement using mathematical induction.
- Solve problems involving sequences and series using induction.
- Explain the principle and provide examples.
Chapter 5: Complex Numbers and Quadratic Equations
- Define complex numbers and their properties.
- Represent complex numbers on the Argand plane.
- Solve quadratic equations using the quadratic formula.
- Find roots of quadratic equations in complex form.
Chapter 6: Linear Inequalities
- Solve linear inequalities in one variable.
- Graph the solution set of linear inequalities on a number line.
- Solve and interpret systems of linear inequalities.
Chapter 7: Permutations and Combinations
- Define permutations and combinations with examples.
- Solve problems involving arrangements and selections.
- Use factorial notation in calculations.
Chapter 8: Binomial Theorem
- State the Binomial Theorem.
- Expand binomial expressions using the theorem.
- Find specific terms in a binomial expansion.
Chapter 9: Sequences and Series
- Define arithmetic and geometric sequences.
- Find the nth term of arithmetic and geometric sequences.
- Solve problems involving the sum of series.
Chapter 10: Straight Lines
- Derive the slope-intercept form of a line.
- Find the equation of the line given two points.
- Solve problems involving parallel and perpendicular lines.
Chapter 11: Conic Sections
- Define and derive the equations of parabolas, ellipses, and hyperbolas.
- Identify conic sections from their equations.
- Solve problems involving properties of conics.
Chapter 12: Introduction to Three-Dimensional Geometry
- Understand coordinates in 3D space.
- Find the distance between two points in space.
- Solve problems involving sections and angles between lines.
Chapter 13: Limits and Derivatives
- Explain the concept of limits.
- Calculate limits using standard results.
- Define the derivative and its geometrical meaning.
Chapter 14: Mathematical Reasoning
- Understand statements, negations, and logical connectors.
- Prove statements using truth tables.
- Solve mathematical reasoning problems.
Chapter 15: Statistics
- Calculate mean, median, and mode for given data.
- Understand the concept of standard deviation.
- Interpret graphical representations of data.
Chapter 16: Probability
- Define probability and explain types of events.
- Calculate probabilities of simple events.
- Solve problems involving conditional probability.
Be sure to practice solving and re-solving problems based on these chapter titles to solidify your understanding! Always refer to the textbook for a deeper exploration of each topic and additional practice questions.