Analytical Geometry

Analytical geometry is the part of the Algebra. It is basically concerned with the points, lines, circles, and other shapes that are the part of the geometry. In analytical geometry points are defined as the coordinate of (x,y) and line is basically a set of points it is known as the linear equation as y=mx+c. Analytical geometry is also known as the Cartesian geometry or coordinate geometry that deals with the coordinate system and use the algebra principles. Analytical geometry deals with the linear equation and sometimes known as linear algebra. In analytical geometry the plane surface is defined as a coordinate system in which every point is a set of real number coordinate like (x,y) in this ‘x’ denotes the horizontal position and y coordinate denotes the vertical position. Analytical geometry, when deals with a part of the plane, are known as the curve which can also be shown as a form of algebraic equation of analytical geometry. If we define an equation of circle in form of algebra it is denoted as x2+y2=r2 where r is the radius of the circle. Analytical geometry also used to define the distance between two points or define the angle between two lines. These are denoted in the form of formula like the distance between two points (x1,y1) and (x2,y2) is d=((x2-x1)2+(y2-y1)2)1/2. An angle it can be defined as a θ=tan(m), Where ‘m’ is the slope of the line. In analytical geometry, scalar product and the vector product is defined as the algebraic equation which takes the two numbers and produce the product by multiplying these entries. Scalar product is also known as dot product that are defined as A.B=∑ni=1(Ai.Bi) or A.B=AB cosθ. Vector product is the multiplication of two vectors that is defined as the A*B=ABsin θ. There is also a modern approach of analytical geometry that is defined as a set of common solution of several equations involving analytical function. It is the concept of real and complex numbers. Analytical geometry also deals with the intersection of two Sets A and B that contain all the elements of A that also belongs to B.