Tuesday 10 January 2012

Coordinate Geometry in Grade XI

Hello friends, in this article we are going to learn about co-ordinate geometry for the grade XI. We will learn the brief description of the coordinate geometry and some of the basic definitions in them. For more information on coordinate geometry click on it
In the lower grades we have learnt about geometry and its related definitions and facts, but now we are going to learn about some different geometry which is different from that of earlier learnt geometries. Now in the terms of definition of coordinate, when two real numbers are associated in any system with a point then such a system is called as the coordinate of that point and the study of such geometry is called as coordinate geometry. The system in which we perform the operation in coordinate geometry, such geometry is called as system of Cartesian coordinate.
We use the coordinate system to plot any of the line, point or any of geometrical shape in the specific region. The coordinate geometry for the grade XI covers the study of straight lines, so in this part of geometry we will learn about the slopes of a line and the angle between two inclined lines system and also learn how to find the angle and the How to Find Slope of a Line with the system by including some of the older concepts of the geometry. We will learn to find different types of the equation for a line. Like equation for general line, line parallel to axes, equation of intercept form, slope-intercept form of the line, point-slope form and also the normal form of the line. We will also find the distance of any point from the point. We will also learn for the conic sections and will also get introduced with the three dimensional geometry here. The part of conic section includes number of shapes of the geometry like: points, straight lines, pairs of intersecting lines, circle, eclipse, parabolas, hyperbolas and their related issues. In term of parabola, circle and other geometry, we will learn about some of the equations and their properties. In the three dimensional geometry, we will learn here coordinate planes and coordinate axes. We will learn coordinate of a point and distance between two points and other issues of the point.
We are familiar with the lines and points plotting on the coordinates Now we are going to learn about the perpendicular lines and lines on the plane. So taking a perpendicular line in the geometry say two lines XOX’ and YOY’ and these two lines are intersecting at the point O. The line XOX’ is the X-axis or abscissa and YOY’ is called Y-axis or the ordinate of the coordinate geometry.

Let we take any point ‘p’ on the plane and say the coordinate of the point is (x, y) then to find the value of ‘x’ and ‘y’ we have to draw a particular line to the x and y, say M is the point where perpendicular line meets at x axis and N is the point where line meets on the y axis then we can take as:
OM = x and ON = y and thus we can find the coordinate of the point.

In upcoming posts we will discuss about Congruent Triangles in Grade XI and Coordinate geometry. Visit our website for information on CBSE maths syllabus

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