2. Introduction
Welcome to the world of locus in
mathematics.Locus is the path or
set of points that satisfy a given
condition.It is a fascinating
concept that plays a crucial role in
various mathematical
applications.In this presentation,
we will learn what a locus is ,its
real-life applications and solve a
few problems related to it.
3. Definition of Locus
The locus of a point is the set of all points
that satisfy a given condition.It can be
defined by equations,inequalities,or
geometric constructions. Understanding the
concept of locus is essential in solving
geometry problems and studying geometric
transformations. Let's delve deeper into the
different types of loci.
4. Loci in Coordinate Geometry
In coordinate geometry,loci can
be defined using equations.
Examples include the locus of
points equidistant from two given
points,the locus of points
satisfying a specific equation, and
the locus of points forming a
specific geometric shape.
Coordinate geometry provides a
powerful tool to analyze and
visualize different types of loci.
5. Real-Life Applications
Loci have numerous real-life
applications. They are used in
navigation systems to determine
the possible positions of an object
based on distance measurements.
Loci also play a crucial role in
engineering,architecture,and
computer graphics, where they help
define the paths of moving objects
and create complex geometric
shapes.The understanding of loci is
essential in solving practical
problems.
6. Problem 1: Find the equation of locus of a point P, if the distance of P
from A (3,0) is twice the distance of P from B (-3, 0).
7. Problem 2:Find the equation of the locus of a point which at a distance
from(-2,3), in the oy plane.
8. Problem 3: Find the locus of the third verte of a right angled triangle, the
ends of hypotenuse are (4,0) and (0,4).
9. Conclusion
In conclusion, the concept of locus in mathematics
provides a powerful framework for analyzing and
understanding the paths or sets of points that satisfy
specific conditions. From coordinate geometry to
geometric constructions and real-life applications, loci
have a wide range of uses and implications. By
exploring the fascinating world of locus, we gain
deeper insights into the underlying beauty and
structure of mathematics.
Group Members : Apoorv, Vansh, Kalash, Tejas, Shreekar, Karthik
