Give detailed Conception of : Cartesian System of rectangular co-ordinates 10 in a plane.
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The rectangular coordinate system is also called as Cartesian coordinate system or the x-y coordinate system. The rectangular coordinate system is a set of 2intersecting lines and perpendicular axis is forming a x, y line or plane. The horizontal axis is commonly labeled the x-axis and the vertical axis is commonly labeled the y-axis. The 2 x and y axes are divide the line into 4 parts is called the quadrants. In any points on the line is corresponds to an ordered pair (x, y). Here the x and y are real numbers. Where the x is the x coordinate or horizontal axis or abscissa and y is the y coordinate or vertical axis or ordinate. Help of rectangular coordinate system consists of four quadrants, a horizontal axis (x), a vertical axis (y), and the origin coordinates (0, 0). The origin is the point where the 2 axes x and y cross. Order pair notation is called an ordered pair
Rectangular coordinate system: The position of the point P in a line in the rectangular coordinate system is defined as follows: Draw the lines PA and PB perpendicular is to X and Y The segment OA = a measures of the distance of the x-axis (the x-coordinate) and the perpendicular distance of the AP = OB = b measures the y-coordinate. The point P coordinates are (a, b). It is may be positive or negative depending upon the directions of segment OA and OB. The 'a' is called as the abscissa of the point and the 'b' is called the ordinate of the point. The point P has abscissa x = 4, and the ordinate y = 5 (scale unit is 1cm = 1 unit). This is written as P (4, 5). Usually the notation P (a, b) means that the point P has abscissa x = a, the ordinate y = b.
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