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Note On Coordinate Geometry

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Published in: Mathematics
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You\'ll learn Coordinate Geometry

Faisal A / Abu Dhabi

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  1. • Key Notes Chapter - 3 Coordinate Geometry Cartesian System Plotting a Point in the Plane with given Coordinates Coordinate Geometry: The branch of mathematics in which geometric problems are solved through algebra by using the coordinate system is known as coordinate geometry. Coordinate System: Coordinate axes: The position of a point in a plane is determined with reference to two fixed mutually perpendicular lines, called the coordinate axes. In this system, position of a point is described by ordered pair of two numbers Ordered pair: A pair of numbers a and b listed in a specific order with 'a' at the first place and 'b' at the second place is called an ordered pair (a,b) Note that Thus (2,3) is one ordered pair and (3,2) is another ordered pair. In given figure O is called origin. The horizontal line Xl OX is called the X-axis. The vertical line YOY is called the Y-axis
  2. Key Notes P(a,b) be any point in the plane. 'a' the first number denotes the distance of point from Y-axis and 'b' the second number denotes the distance of point from X-axis. a - X- coordinate I abscissa of P. b - Y - coordinate I ordinate of P. The coordinates of origin are (0,0) Every point on the x-axis is at a distance o unit from the X-axis. So its ordinate is 0. Every point on the y-axis is at a distance of unit from the Y-axis. So, its abscissa is 0. 11 111 0 Note: Any point lying on —axi: or —axi Y-axis does not lie in any quadrant.

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