Maths Chapter 07: Coordinate Geometry

Class 10 Maths NCERT

To locate the position of a point on a plane, you require a pair of coordinate axes. The distance of a point from the y-axis is called its x-coordinate, or abscissa. The distance of a point from the x-axis is called its y-coordinate, or ordinate.

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

The distance between P(x₁, y₁) and Q(x₂, y₂) is

The coordinates of the point P(x, y) which divides the line segment joining the points A(x₁, y₁) and B(x₂, y₂) internally in the ratio m1 : m2 are

The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) is

The area of the triangle formed by the points (x1, y1), (x2, y2) and (x3, y3) is the numerical value of the expression