Co-ordinate Geometry

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The Cartesian coordinate system is a method to describe the position of a point in a plane using two perpendicular number lines called axes. It was developed by French mathematician René Descartes (15

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X-axis: A horizontal number line in the plane. Positive numbers are shown on the right of origin O, negative numbers on the left. Y-axis: A vertical number line perpendicular to X-axis, intersecting i

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The origin is the point where the X-axis and Y-axis intersect. It is represented by the letter 'O' and its coordinates are (0, 0). The origin serves as the reference point for measuring distances alon

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The X and Y axes divide the plane into four parts called quadrants. They are numbered I, II, III, and IV in the anti-clockwise direction starting from the upper right. Points on the axes themselves ar

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Quadrant I: x > 0, y > 0 (both positive) Quadrant II: x < 0, y > 0 (x negative, y positive) Quadrant III: x < 0, y < 0 (both negative) Quadrant IV: x > 0, y < 0 (x positive, y negative)

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An ordered pair is a pair of numbers written as (x, y) that describes the position of a point in a plane. The order is important: x-coordinate comes first (distance from Y-axis), then y-coordinate (di

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To find coordinates of point P: 1. Draw perpendicular from P to X-axis (let it meet at M) 2. Draw perpendicular from P to Y-axis (let it meet at N) 3. x-coordinate of P = coordinate of M on X-axis 4.

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Any point on the X-axis has coordinates of the form (a, 0), where 'a' can be any real number. The y-coordinate is always 0 because the distance from X-axis is zero. Examples: (3, 0), (-5, 0), (0, 0).