CBSE Class 12 Physics Notes, Short Key Notes for CBSE (NCERT) Books Free PDF download of CBSE Class 12 Physics revision notes and short key-notes to score more marks in your exams, prepared by our expert Physics teachers from the latest edition of CBSE (NCERT) books. CBSE Class 12 Physics notes All Chapters Chapterwise Physics…
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CBSE Class 12 Maths Notes Chapter 13 Probability Event: A subset of the sample space associated with a random experiment is called an event or a case. e.g. In tossing a coin, getting either head or tail is an event. Equally Likely Events: The given events are said to be equally likely if none of…
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CBSE Class 12 Maths Notes Chapter 12 Linear Programming Linear Programming Problem: A linear programming problem is one in which we have to find optimal value (maximum or minimum) of a linear function of several variables (called objective function) subject to certain conditions that the variables are non-negative and satisfying by a set of linear…
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CBSE Class 12 Maths Notes Chapter 11 Three Dimensional Geometry Direction Cosines of a Line: If the directed line OP makes angles α, β, and γ with positive X-axis, Y-axis and Z-axis respectively, then cos α, cos β, and cos γ, are called direction cosines of a line. They are denoted by l, m, and…
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CBSE Class 12 Maths Notes Chapter 10 Vector Algebra Vector: Those quantities which have magnitude, as well as direction, are called vector quantities or vectors. Note: Those quantities which have only magnitude and no direction, are called scalar quantities. Representation of Vector: A directed line segment has magnitude as well as direction, so it is…
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CBSE Class 12 Maths Notes Chapter 9 Differential Equations Differential Equation: An equation involving independent variable, dependent variable, derivatives of dependent variable with respect to independent variable and constant is called a differential equation. e.g. Ordinary Differential Equation: An equation involving derivatives of the dependent variable with respect to only one independent variable is called…
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CBSE Class 12 Maths Notes Chapter 7 Integrals Integration is the inverse process of differentiation. In the differential calculus, we are given a function and we have to find the derivative or differential of this function, but in the integral calculus, we are to find a function whose differential is given. Thus, integration is a…
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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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