Important Concepts in Class 11 Mathematics
Mathematics is one of the high scoring subjects in class 11 among all the subjects. To get admission in the best engineering colleges, mathematics plays an important role. Even though the students have practised the problem many times, sometimes they are not confident enough. Here, the list of concepts in mathematics like sets, sequences and series, Linear equations, straight lines class 11, etc., are given for reference along with tips to prepare for the exam.
Sets: To score good marks in this chapter, students are advised to practise as many questions as possible. Understand the definitions properly and draw the Venn diagram if necessary.
Relations and Functions: Domain and range are important concepts in this chapter. Remember all the graphs of the functions provided in the section “some functions and their graphs”.
Trigonometric Functions: Learn all the formulas in trigonometry as this chapter holds great importance among all the chapters. Learn the tables for trigonometric ratios of some standard angles, complementary angles and important trigonometric identities along with its proof.
Principle of Mathematical Induction: Most of the students find this chapter interesting, you just need to practise the question from the chapter. One question will definitely come from this chapter.
Complex Numbers and Quadratic Equations: This chapter is one of the easiest chapters in class 11 mathematics as it needs only less time to prepare for the exam. Surely the questions are asked from the concepts like polar representation and quadratic equations with complex roots.
Binomial Theorem: Practise the questions from “General and Middle Term of a Binomial Expansions”. Because the calculation mistakes are prone to happen.
Permutation and Combination: Understand the definition of permutation when all the objects are distinct or not distinct and learn how to calculate the combination of the given problem.
Linear Inequalities: This chapter needs more practise to solve the system of linear inequalities in one variable and two variables.
Sequences and Series: Since all the topics in this chapter are closely related to each other, you cannot skip any exercise. Remember all the formulas in this chapter to score more.
Straight Lines: Learn all the straight lines formulas when the points are given. With proper labelling, figures should be clean and neat.
Conic Sections: Practice and learn all the questions from the NCERT textbook from concepts like circles, parabola, hyperbola, an ellipse.
Introduction to Three-Dimensional Geometry: Learn how to find the distance between two points in the 3D space and also study the section formula.
Limits and Derivatives: Product rule and quotient rule are important in this chapter for finding the derivative of a function and learn how to apply the limits of a polynomial, rational and trigonometric function.
Mathematical Reasoning: This chapter does not require calculations. Understand the meaning of the statement and check its validity.
Statistics: Study the formulas like Mean and standard deviation, variance and coefficient of variation of a continuous frequency distribution.
Probability: Go through all the concepts from this chapter and understand the difference between “with replacement” and “without replacement”. Probability class 11 concepts give the basic knowledge and detailed explanations like a probability distribution, probability density function, cumulative distribution function are explained clearly in higher studies.
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