Here is a list of important questions from each chapter of the Class 11 Mathematics NCERT curriculum, which you can use for revision. Keep in mind that the specific "important" questions may vary based on the focus of your course or examination board.
Chapter 1: Sets
- Define a set and give examples.
- Explain the types of sets (finite, infinite, empty set).
- Write the method of representation of sets.
- Solve problems related to operations on sets (union, intersection, complement).
Chapter 2: Relations and Functions
- Define relations and functions with examples.
- Determine whether a given relation is a function.
- Find the domain and range of the given functions.
- Explain one-one, onto, and bijective functions with examples.
Chapter 3: Trigonometric Functions
- Define trigonometric ratios and their applications.
- Prove identities involving trigonometric functions.
- Solve problems involving heights and distances using trigonometry.
- Graph trigonometric functions (sine, cosine, tangent).
Chapter 4: Complex Numbers and Quadratic Equations
- Define complex numbers and represent them in the complex plane.
- Solve quadratic equations using the quadratic formula.
- Find the roots of complex numbers.
- Prove relationships between the roots and coefficients of quadratic equations.
Chapter 5: Permutations and Combinations
- Define permutations and combinations, and provide formulas for both.
- Solve problems involving the arrangement of objects.
- Calculate combinations in different scenarios.
- Apply these concepts to real-world problems.
Chapter 6: Binomial Theorem
- State the binomial theorem and explain its terms.
- Find specific terms in the expansion of a binomial expression.
- Solve problems related to binomial coefficients.
Chapter 7: Sequence and Series
- Define arithmetic and geometric progressions.
- Find the nth term and sum of n terms.
- Solve problems involving infinite geometric series.
Chapter 8: Straight Lines
- Determine the slope and equation of a straight line.
- Check whether points are collinear.
- Find the distance between points and the area of triangles formed by points.
Chapter 9: Conic Sections
- Explain the different types of conic sections (circle, parabola, ellipse, hyperbola).
- Write the standard equations and properties of these conics.
- Solve problems related to the tangents and normals to conics.
Chapter 10: Statistics
- Calculate mean, median, and mode for grouped and ungrouped data.
- Solve problems related to the interpretation of statistical data.
- Discuss the importance and applications of statistics in various fields.
Chapter 11: Probability
- Define probability and explain the concepts of sample space and events.
- Calculate probabilities of events using different approaches.
- Solve problems using the addition and multiplication rules of probability.
Study Tips
- Focus on understanding concepts rather than just memorizing.
- Solve previous years' question papers to get an idea of exam patterns.
- Practice sample papers and revision exercises from your textbook.
For extra practice, refer to NCERT Exemplar problems and other resources recommended by your teacher.