coordinate geometry introduction

Introduction - The word 'geometry' is derived from the Greek words 'geo' meaning 'earth' and 'metron', meaning 'measuring'. Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometryh..

Introduction - Triangles are classified on the basis of the lengths of their sides as scalene, isosceles, or equilateral triangles. When any two sides of a triangle are equal it is called as an "isosceles triangle". The unequal side is called its base and the angle opposite the base is ca..

Introduction - Sometimes it is necessary in geometry to specify the location of all points satisfying one or more conditions. For example, location of set of points equidistant from two given points, location of set of points equidistant from a given point etc. This is done by c..

Introduction - Recall that if two straight lines are not parallel, they meet at a point when produced. Observe lines l and m which meet at a point (O). In the diagram, l and m are called intersecting lines. O is called the point of intersection. Similarly two line segments or two rays may..

Introduction - Area of a region, bounded by a geometrical figure measures the portion of the plane occupied by the region. When we talk of the area of D ABC, we mean the area of the region bounded by D ABC. We shall discuss the geometrical aspects of areas of some important figures like t..

Introduction - We have studied so far about equalities in a triangle. In an isosceles triangle two of the sides are equal. In an equilateral triangle all the sides are equal. But there exist several situations where we need to compare quantities which are not equal. This gives rise to the..

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 n. Thus, is a homogeneous equation of n t h degree in x and y. Com..

a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..

Introduction - Triangles are similar if they are equiangular and their corresponding sides are proportiona..

Introduction - Geometry deals with the study of shape, size, position and other properties of objects in a plane or in spac..