Coordinate Geometry — Flashcards

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Coordinate Geometry is a branch of mathematics that deals with the study of geometry using coordinates. It was developed by French mathematician René Descartes. It helps us locate and describe the pos…

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Coordinate axes are two perpendicular lines used to locate points in a plane. The horizontal line is called the x-axis and the vertical line is called the y-axis. Together, they form the coordinate sy…

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The origin is the point where the x-axis and y-axis intersect. It is denoted by the letter O and has coordinates (0, 0). It serves as the reference point for measuring distances along both axes.

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The coordinate axes divide the plane into four parts called quadrants. They are numbered I, II, III, and IV in anticlockwise direction starting from the positive x-axis. Each quadrant represents a dif…

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Quadrant I: (+, +) - both x and y coordinates are positive Quadrant II: (-, +) - x coordinate is negative, y coordinate is positive Quadrant III: (-, -) - both x and y coordinates are negative Quadran…

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The x-coordinate of a point is also called the abscissa. It represents the perpendicular distance of the point from the y-axis, measured along the x-axis. It is positive in the positive direction and …

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The y-coordinate of a point is also called the ordinate. It represents the perpendicular distance of the point from the x-axis, measured along the y-axis. It is positive in the positive direction and …

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The coordinates of a point are written as (x, y), where x is the x-coordinate (abscissa) and y is the y-coordinate (ordinate). The x-coordinate is always written first, followed by the y-coordinate, e…