Co-Ordinate Geometry — Chapter Summary

The two perpendicular axes

The two perpendicular axes, XOX′ and YOY′, form the rectangular co-ordinate system. The x-axis is horizontal and the y-axis is vertical. Their interse

A point P(x

A point P(x, y) has two co-ordinates. The first number, called the abscissa, gives the distance from the y-axis. The second number, called the ordinat

The axes divide the plane into

The axes divide the plane into four quadrants. Quadrant I has signs (+, +), Quadrant II has (−, +), Quadrant III has (−, −), and Quadrant IV has (+, −

The distance between P(x1

The distance between P(x1, y1) and Q(x2, y2) is PQ = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}. This is also a direct use of the right triangle formed by horiz

The distance of (x1

The distance of (x1, y1) from the origin is \sqrt{x1^2 + y1^2}.