Summary

In this chapter, you have studied the following points :

1. To locate the position of an object or a point in a plane, we require two perpendicular lines. One of them is horizontalstraight, and the other is verticalparallel.

2. The plane is called the cartesian2D plane, or coordinate plane and the lines are called the coordinatecartesian axes.

3. The horizontal line is called the -axis, and the vertical line is called the - axis.

4. The coordinate axes divide the plane into four parts called quadrantscoordinate.

5. The point of intersection of the axes is called the originpoints.

6. The distance of a point from the y - axis is called its x-coordinate, or abscissaordinate, and the distance of the point from the x-axis is called its y-coordinate, or ordinateabscissa.

7. If the abscissa of a point is x and the ordinate is y, then (x, y) are called the coordinatesquadrants of the point.

8. The coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis are (0, y).

9. The coordinates of the origin are (0,0)(1,1).

10. The coordinates of a point are of the form (+,+)(-,-) in the first quadrant, (–,+)(+,-) in the second quadrant, (–,–)(+,+) in the third quadrant and (+,–)(-,+) in the fourth quadrant, where + denotes a positive real number and – denotes a negative real number.

11. If x ≠ y, then (x, y) ≠ (y, x) but if x = y, (x, y) = (y, x).