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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Amines Class 12 Notes Chemistry Chapter 13 1. Amines are the derivatives of ammonia in which one or more hydrogen atoms have been replaced by alkyl groups. 2. Amines are classified as primary, secondary, or tertiary according as one, two or three hydrogen atoms in the ammonia molecule have been substituted by alkyl groups. 3.…
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Aldehydes, Ketones and Carboxylic Acids Class 12 Notes Chemistry Chapter 12 1. The classes of organic compounds containing carbonyl group (CO) as the functional group are aldehydes, ketones, carboxylic acids and their derivates. These are collectively called carbonyl compounds. 2. Nature of carbonyl group: Oxygen atom in carbonyl group is far more electronegative than carbon…
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Alcohols, Phenols and Ethers Class 12 Notes Chemistry Chapter 11 1. Alcohols and phenols may be classified as monohydric, dihydric, trihydric or polyhydric according to number of hydroxyl groups they contain one, two, three or many respectively in their molecules. 2. Primary (1°), secondary (2°) and tertiary (3°) alcohols are those in which as the…
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