for higher classes

2. •ADITYA PRASAD SAHU
– AUM PRASAD SAHU
– SUNIL
– BISWAJIT SABAR
– PAWAN

3. • Western Europe. Analytic geometry was independently invented by
René 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 Ø is the
inclination of a
line; the slope of
the line is tan Ø
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.

18. Thanks!