Co-Ordinate Geometry

Definition
1. Coordinate Geometry describes the link between geometry and algebra through graphs involving curves and lines. It is a part of geometry where the position of points on the plane is described using an ordered pair of numbers.
Requirement: Two perpendicular lines
1. Horizontal line: x axis
2. Vertical line : y axis
Cartesian System
1. Used for: Describing the position of a point in a plane
2. Developed by : Renes Descartes a french mathematician
3. Denoted by : (x,y)
  1. x coordinate is abscissa
  2. y coordinate is ordinate
4. Divided in: 4 quadrants
  1. Quadrant I : (x,y)
  2. Quadrant II : (-x, y)
  3. Quadrant III : (-x, -y)
  4. Quadrant IV : (x, -y)
Graph - Linear Equation
1. Step 1: Convert given equation in the form y = mx + c
2. Step 2: Select at least 3 values of x, such that x, y ∈ l
3. Step 3: Draw the table for ordered pair (x,y)
4. Step 4: Plot these ordered points on the graph paper
5. Step 5: Draw a straight line passing through plotted points
Fixed Point: Is the origin (0, 0) where x axis and y axis meet
1. Moving left: -ve x axis (-x, 0)
2. Moving right: +ve x axis (x,0)
3. Moving up: +ve y axis (0,y)
4. Moving down: -ve y axis (0, -y)
Plotting point in a plane (5,4)
1. Step 1: Draw co-ordinate axis and select units
  1. Step 2: Starting from origin, count units on x and y axis
    1. Step 3: Mark the corresponding points

Resource summary

	Created by Tanmaya Kumar Pradhan almost 3 years ago