際際滷

際際滷Share a Scribd company logo

Coordinate geometry

Download as PPTX, PDF
A
Aditya Prasad Sahu

This document provides an introduction to coordinate geometry. It defines coordinate geometry as the study of algebraic equations on graphs using an x- and y-axis. It explains that a Cartesian plane consists of two perpendicular number lines that intersect at zero and divide the plane into four quadrants. It discusses concepts like slope, inclination, y-intercept, horizontal and vertical lines, collinear points, medians, incentre, excentre, circumcentre, and orthocentre.

Convert to study guideBETA

Transform any presentation into a summarized study guide, highlighting the most important points and key insights.

1 of 18
Download to read offline
Coordinate geometry
ADITYA PRASAD SAHU AUM PRASAD SAHU SUNIL BISWAJIT SABAR PAWAN
Western Europe. Analytic geometry was independently invented by Ren辿 Descartes and Pierre de Fermat, although Descartes is sometimes given sole credit. Cartesian geometry, the alternative term used for analytic geometry, is named after Descartes. ... Pierre de Fermat also pioneered the development of analytic geometry.
The definition of coordinate geometry is the study of algebraic equations on graphs. An example of coordinate geometry is plotting points, lines and curves on an x and y axis. Introduction
A Cartesian plane consist of two mutually perpendicular number lines intersecting each other at their zero.
As shown in the adjoining diagram, the coordinate axes divide a coordinate plane into four parts which are known as Quadrants.
The angle which a straight line makes with the positive direction of x-axis( measured in anti- clockwise direction) is called inclination of the line.
If is the inclination of a line; the slope of the line is tan and is usually denoted by letter m,
If a straight line meets y axis at a point ,the distance of point from the origin is called Y-intercept .
Horizontal and Vertical lines The gradient of horizontal line is zero. (horizontal line is flat No slope) The gradient of a vertical line is infinity. (Vertical line gradient is maximum.)
The positive of any point in the Cartesian Plane can be determined by its distance from each axes.
Collinear point *Point are collinear if they al lie on the same line *You need to establish that they have -a common direction -a common point
Median A median is the line that joins a vertex of a triangle to the midpoints of the opposite side.
Intersection of angle bisector of a triangle is called the incentre.
Intersection of eternal angle bisector of a triangle is called the excentre.
Intersection of perpendicular bisector of the side of a triangle is called the circumcentre.
Intersection of altitudes of a triangle is called the orthocentre.
Thanks!

More Related Content

Coordinate geometry

  • 2. ADITYA PRASAD SAHU AUM PRASAD SAHU SUNIL BISWAJIT SABAR PAWAN
  • 3. Western Europe. Analytic geometry was independently invented by Ren辿 Descartes and Pierre de Fermat, although Descartes is sometimes given sole credit. Cartesian geometry, the alternative term used for analytic geometry, is named after Descartes. ... Pierre de Fermat also pioneered the development of analytic geometry.
  • 4. The definition of coordinate geometry is the study of algebraic equations on graphs. An example of coordinate geometry is plotting points, lines and curves on an x and y axis. Introduction
  • 5. A Cartesian plane consist of two mutually perpendicular number lines intersecting each other at their zero.
  • 6. As shown in the adjoining diagram, the coordinate axes divide a coordinate plane into four parts which are known as Quadrants.
  • 7. The angle which a straight line makes with the positive direction of x-axis( measured in anti- clockwise direction) is called inclination of the line.
  • 8. If is the inclination of a line; the slope of the line is tan and is usually denoted by letter m,
  • 9. If a straight line meets y axis at a point ,the distance of point from the origin is called Y-intercept .
  • 10. Horizontal and Vertical lines The gradient of horizontal line is zero. (horizontal line is flat No slope) The gradient of a vertical line is infinity. (Vertical line gradient is maximum.)
  • 11. The positive of any point in the Cartesian Plane can be determined by its distance from each axes.
  • 12. Collinear point *Point are collinear if they al lie on the same line *You need to establish that they have -a common direction -a common point
  • 13. Median A median is the line that joins a vertex of a triangle to the midpoints of the opposite side.
  • 14. Intersection of angle bisector of a triangle is called the incentre.
  • 15. Intersection of eternal angle bisector of a triangle is called the excentre.
  • 16. Intersection of perpendicular bisector of the side of a triangle is called the circumcentre.
  • 17. Intersection of altitudes of a triangle is called the orthocentre.