Coordinate Geometry

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Coordinate geometry is a branch of mathematics that uses a system of coordinates to describe the position of points in a plane. It was developed by René Descartes and is also known as the Cartesian sy…

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To locate a point in a plane, we need two independent pieces of information because a plane is two-dimensional. Just like finding a house requires both the street number and house number, or a student…

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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 (marked as X'X) and the vertical line is called the y-axis (marked as Y'Y). They …

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The origin is the point where the x-axis and y-axis intersect. It is denoted by the letter O. The coordinates of the origin are (0, 0) because it has zero distance from both axes. It serves as the ref…

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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 upper right region. Quadrant I is in the upper …

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The x-coordinate or abscissa of a point is its perpendicular distance from the y-axis, measured along the x-axis. It is positive if the point is to the right of the y-axis and negative if the point is…

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The y-coordinate or ordinate of a point is its perpendicular distance from the x-axis, measured along the y-axis. It is positive if the point is above the x-axis and negative if the point is below the…

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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, an…