Application of Derivatives Class 12 Notes Maths Chapter 6 Rate of Change of Quantities: Let y = f(x) be a function of x. Then, represents the rate of change of y with respect to x. Also, x = x0 represents the rate of change of y with respect to x at x = x0. If…
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Continuity and Differentiability Class 12 Notes Maths Chapter 5 Continuity at a Point: A function f(x) is said to be continuous at a point x = a, if Left hand limit of f(x) at(x = a) = Right hand limit of f(x) at (x = a) = Value of f(x) at (x = a) i.e.…
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Determinants Class 12 Notes Maths Chapter 4 Determinant: Determinant is the numerical value of the square matrix. So, to every square matrix A = [aij] of order n, we can associate a number (real or complex) called determinant of the square matrix A. It is denoted by det A or |A|. Note (i) Read |A|…
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Matrices Class 12 Notes Maths Chapter 3 Matrix: A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of the matrix. Order of a Matrix: If a matrix has m rows and n columns, then its order is written as m × n.…
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Inverse Trigonometric Functions Class 12 Notes Maths Chapter 2 Inverse Trigonometric Functions: Trigonometric functions are many-one functions but we know that inverse of function exists if the function is bijective. If we restrict the domain of trigonometric functions, then these functions become bijective and the inverse of trigonometric functions are defined within the restricted domain.…
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Relations and Functions Class 12 Notes Maths Chapter 1 Relation: A relation R from set X to a set Y is defined as a subset of the cartesian product X × Y. We can also write it as R ⊆ {(x, y) ∈ X × Y : xRy}. Note: If n(A) = p and n(B)…
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CBSE Class 12 Maths Notes Chapterwise Maths Notes for Class 12 provides you with an overall picture of each chapter. With the help of Class 12 Maths notes, you can easily revise the entire chapter in less time. We have taken the utmost care while creating 12th Maths notes. Important Topics like Inverse Trigonometric Functions,…
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Chemistry in Everyday life Class 12 Notes Chemistry Chapter 16 1. Chemicals play a very important role in improving the quality of human life. Many substances which are used in our daily life situations are chemical compounds. 2. Drugs are chemicals of low molecular masses (-100- 500 u). These interacts with macromolecular targets and produce…
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Polymers Class 12 Notes Chemistry Chapter 15 1. A polymer is a large molecule of high molecular mass formed by the repetitive bonding of many small molecules called monomers. The process by which the monomers are transformed into polymers is called polymerisation. As polymers are single big size molecules, they are also called macromolecules. 2.…
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Biomolecules Class 12 Notes Chemistry Chapter 14 1. Carbohydrates is a class of compounds that include polyhydric aldehydes and ketones and large number of other polymeric molecules that yield these on hydrolysis, e.g., sugars, glycogen, cellulose, starch, etc. 2. Depending upon their behaviour on hydrolysis, carbohydrates are further divided into three types: Monosaccharides (e.g., glucose,…
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