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Math Homework Help

Some useful formulea from Analytical Geometry

published on November 6th, 2006 . by Vanaja

Distance Formula

published on November 1st, 2006 . by Vanaja

Distance formula is useful to find the distance between any two given points in a cartetian plane.

History of Analytical Geometry

published on October 13th, 2006 . by Vanaja

We know Geometry is one of the most ancient branches of mathematics. The big step forward in geometry after the Greeks, was the development of a new method called Co-ordinate geometry or Analytical geometry. Modern analytical geometry is also called “Cartesian” after the name of Rene Decartes (1596-1665). But the fundamental principles and methods were already discovered by Pierre de Fermat(1601-1665). Unfortunately, Fermats treatise on the subject entitled “Ad locus planos et so lidos Isagoge“(Introduction to plane and solid loci) was published only published posthumously in 1679. So Decartes came to be regarded as the unique inventor of the analytical geometry.
In co-ordinate geometry, we enlist the services of Algebra in aid of Geometry.

Locus -Definition

published on July 23rd, 2006 . by Vanaja

Locus: When a point moves subject to certain specified conditions, the path traced out by it is called locus.

Equation of a locus: Equation to a locus is the algebraic relation that exists between x and y coordinates of a general point on the locus.

Example:
Find the equation of the locus of points such that the sum of its distances from (0,3) and (0,-3) is 8.

Solution:

(To solve this problem you must know Distance Formula)

Let P(x,y) be any point of the locus and A and B be the points (0,3) and
(0,-3) respectively.