coordinate geometry introduction

Introduction - Sometimes it is necessary in geometry to specify the location of all points satisfying one or more condition..

Introduction - Recall that if two straight lines are not parallel, they meet at a point when produce..

Introduction - Rectilinear Figure : A plane figure bounded by straight lines is called a rectilinear figur..

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..

Introduction - We can prove some more properties of triangles using the properties of parallelograms seen in the previous chapter. We find that the line segment joining the mid points of any two sides of the triangle is parallel to the third side and is equal to half of it. We prove this ..

If the area of the figure formed by the three coordinates is zero, then the three points are collinear. \ The three given points are colline..

In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real number..

The four quadrants formed by the ordinate axes are numbered as shown in the figure. The table below shows the sign of the coordinates of the point in different quadrants. The following table shows the position of some points in the quadrants...

If the y-coordinates of each point on the x-axis is zero (0) and if P (x, y) is any point on x-axis, then y=0..

An equation corresponding to a set of points with reference to a system of coordinate axes may be simplified by taking the set of points in some other suitable coordinate system, such that all geometrical properties remain unchanged. One such transformation is that in whic..