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CBSE Class 9 Maths Chapter 3 Coordinate Geometry Revision Notes

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CBSE Class 9 Maths Chapter 3 Coordinate Geometry Revision Notes

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Cartesian plane

A plane is a flat surface that goes on forever in both directions. If we were to place a point on the plane, coordinate geometry gives us a way to describe exactly where it is by using two numbers.

A Cartesian plane is a plane with a rectangular coordinate system that associates each point in the plane, with an ordered pair (x, y). The plane is called the Cartesian plane, or the coordinate plane, or the XY-plane. The method of describing the location of points in this way was proposed by the French mathematician Rene Descartes (1596 – 1650).

1. The axes divide the plane into four parts.
2. These four parts called the quadrants.
3. They are numbered I, II, III, and IV quadrants anticlockwise starting from OX.
4. The plane is called the Cartesian plane or the coordinate plane or the XY–plane.

Coordinates:

1. The x-coordinate of a point(Abscissa):- Perpendicular distance from the y-axis measured along the x-axis (positive along the
positive direction and negative along the negative direction of the x-axis).
2. The y-coordinate of a point(Ordinate):- Perpendicular distance from the x-axis measured along the y-axis (positive along the positive direction and negative along the negative direction of the y-axis)
3. The coordinates of a point have the abscissa at the first place, and ordinate at second place.
4. The coordinates of the origin O are (0, 0).

Signs of the coordinate points:

1. If a point is in the 1st quadrant, the point will be in the form (+, +).
2. If a point is in the 2nd quadrant, the point will be in the form (-, +).
3. If a point is in the 3rd quadrant, the point will be in the form (-, -).
4. If a point is in the 4th quadrant, the point will be in the form (+, -).