Coordinate Geometry Formulas

What is Coordinate Geometry?

Coordinate geometry is a branch of mathematics, which is used to represent various geometric figures in a 2-D plane. Coordinate geometry is used to describe various curves such as circles, parabolas, etc. Coordinate geometry divides the coordinate plane into four different quadrants, which are the I quadrant, II quadrant, III quadrant, and IV quadrants....

Coordinates of a Point

A coordinate is an address, which helps to locate a point in space. For a two-dimensional space, the coordinates of a point are (x, y). Here let us take note of these two important terms....

Coordinate Geometry Formulas

The formulas of coordinate geometry help in conveniently proving the various properties of lines and figures represented in the coordinate axes. The formulas of coordinate geometry are...

Distance Formula

The distance between two points A(x1, y1) and B(x2, y2) is given by...

Mid-Point Formula

The midpoint is the point that divides any line segment into two equal parts. The formula to find the midpoint of the line with endpoints A(x1, y1) and B(x2, y2) is given by,...

Section Formula

The coordinates of the point P(x, y) which divides the line segment joining A(x1, y1) and B(x2, y2) internally in the ratio m:n are given by...

Slope Formula

The slope of a line is the inclination of the line. Slope Formula is calculated by measuring the angle made by the line with the positive x-axis, or by calculating it using any two points on the line. The slope of a line inclined at an angle θ with the positive x-axis is given by m = tan θ.  The slope of a line joining the two points A(x1, y1) and B(x2, y2) is given by...

Area of Triangle

The area of a triangle ABC with vertices A(x1, y1), B(x2, y2), and C(x3, y3) is given by...

Condition for Collinearity of Three Points

Let the given points be A(x1, y1), B(x2, y2), and C(x3, y3). Then A, B, and C are collinear,...

Centroid of a Triangle

Centroid of a triangle is the point of intersection of all three medians of a triangle. The centroid of a triangle having its vertices A(x1,y1), B(x2,y2), and C(x3,y3) is given by the formula...

Solved Examples on Coordinate Geometry

Example 1: Show that the points A(a, b + c), B(b, c + a), and C(c, a + b) are collinear....

FAQs on Coordinate Geometry

What is meant by Cartesian Plane?...