Categories
Calculus

Concept of a Function

Function or Mapping: Let A and B two non-empty set and If each and every element x of set A is related by the relation ‘ƒ’ to one and only one element y of the set B such that y = ƒ(x) then such a relation ƒ from set A to set B is called […]

Categories
Inorganic Chemistry

Basic Principles of Metallurgy

A few elements like carbon, sulphur, gold, platinum, copper, silver, mercury and noble gases, occur in the free state while others in combined forms like oxides, sulphides, carbonates, sulphates, silicates etc. in the earth’s crust. Metallurgy is a branch of chemistry that deals with the processes that are used for the extraction of metals in […]

Categories
Applied Chemistry

Environmental Chemistry

In this article, we shall study the meaning of environmental chemistry and also about pollution and pollutants. Environment means all that environs i.e. surrounds us. Different organisms live in different types of surroundings such as air, water, and soil. Different kinds of living organisms share these surroundings with others. An environment can be defined as […]

Categories
Physical Chemistry

Ionic Bond or Electrovalent Bond

The electrostatic force of attraction between the oppositely charged ions is called the ionic bond or electrovalent bond. This bond is formed between two atoms whose electronegativity difference is large and they can attain octets by the complete transfer of one or more electrons from one atom to another. The atom which loses electrons is […]

Categories
Physical Chemistry

Chemical Reactions and Their Types

In a chemical reaction, one or more substances, called reactants undergo a chemical change to produce new substances called products of the reaction. Thus a chemical reaction is a process in which reactants undergo a change to produce products. Reactants: One or more substances which react and undergo chemical change are called reactants of the […]

Categories
Coordinate Geometry

Equation of Line: Two Point Form

Science > Mathematics > Coordinate Geometry > Straight Lines > Equation of Line: Two Point Form In this article, we shall study to find the equation of a line using a two-point form. Example 01: Find the equation of a line passing through the points (5, 4) and (3, -2) Solution: Let the points be […]

Categories
Coordinate Geometry

Intercepts of a Line on the Axes

Science > Mathematics > Coordinate Geometry > Straight Lines > Intercepts of Line on the Axes In this article, we shall study the concept of intercepts of line on coordinate axes. If a straight line intercepts X-axis at the point A and Y-axis at point B, then the x-coordinate of A and y-coordinate of B […]

Categories
Coordinate Geometry

Slope Problems Related to Quadrilaterals

In this article, we shall study to prove given quadrilateral to be or parallelogram, or rhombus, or square, or rectangle using slopes. Example – 01: Using slopes show that the points (-2, -1), (4, 0), (3, 3) and (-3, 2) are the vertices of a parallelogram. Solution: Let A(-2, -1), B(4, 0), C(3, 3) and […]

Categories
Coordinate Geometry

Slope Problems Related With Triangles

Science > Mathematics > Coordinate Geometry > Straight Lines > Slope Problems Related With Triangles In this article, we shall study to find slopes of altitude, median, and perpendicular bisectors of sides of triangle and also the mrthod to prove that given triagle is a right angled triangle using slopes of its sides. Example – […]

Categories
Coordinate Geometry

Conditions for Parallelism and Perpendicularity of Lines

Science > Mathematics > Coordinate Geometry > Straight Lines > Condition for Parallelism and Perpendicularity In this article, we shall study the Condition for parallelism and the condition of perpendicularity of lines. Condition for Parallelism: If two lines are parallel, then their slopes are equal. Let slopes of the two parallel lines be m1 and […]