algebraic concepts and geometric concepts

The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the function, or "o..

Fundamental concepts of Geometr..

Point : It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitud..

Question 1 - Question: Find the centroid of the triangle whose sides are x + y - 1 = 0, x - 3y + 3 = 0 and x - y - 1 = 0. Answer: Let AB represent the side x + y - 1 = 0 ...(i) Let BC represent the side x - 3y + 3 = 0 ... (ii) Let CA represent the side x - y - 1 = 0 ... (iii) Solving (i) and (ii) f..

Introduction - Homogeneous Equation : A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to ..

- Geometry is an interesting area of Math that requires a proper understanding of the basics. The fundamentals of Triangles, rectangles and rectilinear figures need to be properly taught in order to understand higher concepts. Learn Geometry online with TutorVista's team of highly qualifi..

Since it is not possible to calculate the weight of particles individually, a collection of such particles called mole is taken for all practical purposes. Avogadro discovered that under standard conditions of temperature and pressure, (1atm and 273K) a sample of gas occupies a volume of 22.4 ..

Mole Concept - In chemistry, the term mole represents a pile or mass of atoms, molecules, ions or electrons. Just as common man measures quantity in terms of kilograms or dozens, a chemical scientist deals with a 'mole' of atoms, molecules, ions or electrons. Mole is defined as the amount..

Since it is not possible to calculate the weight of particles individually, a collection of such particles called mole is taken for all practical purposes. It was discovered that the number of atoms present in 12g of carbon of 12 C isotope is 6.023 x 10 23 atoms. This is referred to as Avogadro num..

According to wave mechanics, we cannot simply say that the electron exists at a particular point but we talk about certain regions in space around the nucleus where the probability of finding the electron is maximum. Such regions are expressed by mathematical expressions and are called orbital wave..