Which chapters are the most important for class 12 maths?

Mathematics is a troublesome subject for some of us, but its advantages are understated. It helps us appreciate real-world complexities and gives us an efficient way to build rational self-control. Math develops logical reasoning, analytical thinking, creative reasoning, problem-solving abilities, and even powerful conversation skills.  On top of that, Maths is also one of the most scoring subjects. You must choose the best study material available, and nothing is as valuable as NCERT books. You must go through Maths NCERT Books Class 12 to clear your basics. Class 12th math is vital for your future endeavors so, here are some of the most important topics and chapters that you must go through to gain victory.

  1. Relations and functions: This is an important chapter and carries a lot of weightage in terms of marks. Some of the prominent topics of this chapters are:
  • Empty relation
  • Universal relation
  • Reflexive relation
  • Symmetric relation
  • Transitive relation
  • Equivalence relation
  • One-one functions
  • Onto functions
  • One-One and onto functions
  • Invertible functions
  1. Inverse Trigonometric Functions: This chapter is very vital because of the role it plays in other chapters like calculus. Some of the points included in this branch are:
  • Properties of Inverse Trigonometric Functions.
  • Obtaining the principal value of the inverse trigonometric function.
  • Domain of the inverse trigonometric function.
  • Range of the inverse trigonometric function.
  • Graphs of the inverse trigonometric function.
  1. Matrices: Matrice is a broad chapter and continues in your college-level mathematics as well. Some of the major topics of this chapter are:
  • Order of matrix
  • Types of Matrices
  • Equal Matrices
  • Addition and Subtraction of Matrices
  • Multiplication of Matrices
  • Finding missing elements
  • Finding missing matrice
  • Transpose of matrice
  • Symmetry and Skew symmetry in matrices
  • Property of Transpose
  • Inverse of matrice
  1. Determinants: This chapter is closely related to matrices and linear equations. They have many applications in real-life aspects as well. Here are some of the topics of this chapter:
  • Properties of Determinants
  • Area of a Triangle
  • Equation of line using determinant
  • Checking consistency of equations
  • Verifying properties of a determinant
  • Testifying Determinant 1 = Determinant 2
  • Using Property 5 (Determinant as the sum of two or more determinants)
  • Minors and Cofactors
  • Adjoint and Inverse of a Matrix
  • Applications of Determinants and Matrices
  1. Continuity and Differentiability: This chapter carries a lot of marks with it so, it is of utmost importance that you focus on it. Here are the relevant topics of this chapter:
  • Checking continuity
  • Algebra of continuous functions
  • Continuity of composite functions
  • Checking differentiability of functions
  • Finding derivative using the chain rule
  • Finding derivative of Implicit functions
  • Finding derivative of Inverse trigonometric functions
  • Finding derivative of Exponential & logarithmic functions
  • Derivatives in a parametric model
  • Normal form
  • Implicit form
  • Verification of Rolle’s theorem
  • Verification of Mean Value Theorem
  1. Application of Derivatives: This chapter is an extension of Continuity and Differentiability. Some of the major topics of this chapter are:
  • Rate of Change of Quantities
  • Increasing and Decreasing Functions
  • Tangents and Normals
  • Approximations
  • Maxima and Minima
  1. Integrals: Integrals allocates numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining minute data. Some of the vital topics covered in this chapter are:
  • Integral Formulas
  • Using Trigonometric Formulas
  • Integration by substitution (Normal & Inverse)
  • Integration using trigonometric identities
  • Integration in parts
  • Integration by specific formulas.
  • Integration by partial fraction
  • Definite Integrals
  • Definite Integrals using properties
  1. Applications of Integrals: This is an extension of the chapter Integrals. Here are some of the notable topics of this chapter:
  • Area under curve
  • The area bounded by the curve and horizontal or vertical line
  • The area between curve and line
  • The area between curve and curve
  1. Differential Equation: This chapter has a lot of exercises, and going through them topic-by-topic is the best way to deal with this chapter. Here are the issues that are incorporated in this chapter:
  • Basic Concepts of differential equation
  • General Differential Equation
  • Formation of a Differential Equation
  • Deciphering First-order First Degree Differential Equations
  1. Vector Algebra: Vector Algebra is a very simple chapter, and following through with various practices and problems can give you the confidence that you need. Here are the prominent topics of this chapter:
  • Scalar or vector
  • Graphical displacement
  • Types of vectors
  • Multiplication of a vector by a scalar
  • Equal vectors
  • Unit vector
  • Addition(resultant) of vectors
  • Section formula
  • Collinearity Of two vectors
  • Scalar product
  • Vector product
  1. Three Dimensional Geometry: Three Dimensional Geometry is very easy to understand and can be nailed by solving NCERT exercises only. Here are the relevant questions of this chapter:
  • Direction cosines and ratios
  • Equation of line
  • Angle between two lines
  • Shortest distance
  • Equation of plane
  • Coplanarity of 2 lines
  • The angle between two planes
  • Equation of line under planes condition
  • The point with Lines and Planes
  1. Linear Programming: This chapter is closely related to real-life situations so it is very easy to understand. The subjects embraced in this chapter are:
  • Linear equations (Bounded)
  • Linear equations (Not feasible)
  • Linear equations (Unbounded)
  • Diet problems
  • Manufacturing problems
  • Transport problems
  1. Probability: Probability has been included in Maths to foretell how plausible accidents are to occur. Here are the points broadcasted in this chapter:
  • Conditional Probability
  • Multiplication rule of probability
  • Independent events
  • Basic Probability
  • Total probability
  • Bayes theorem
  • Random Variables
  • Probability distribution
  • Mean random variable
  • Variance
  • Standard Deviation
  • Bernoulli Trials
  • Binomial Distribution

Following these study techniques could help you achieve excellence and knock out every academic hurdle that may stand before you. Exam-related stress is exhausting and can decrease your determination to achieve supremacy in exams. You should meditate or exercise before and after their sessions of studying. You must also get a healthy diet in order to prevent any laziness. Most importantly, you should get at least 8 hours of sleep to keep your mind and body vigorous. Precise recesses through study sessions prevent you from being overstressed. You can also examine some stimulating and progressive revising routines like math games, interactive worksheets, puzzles, etc for an astounding finish. All the very best!

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