equation of locus

Equation of the Locus of a Moving Point

Definition of a Locus
Locus is a Latin word which means "place". In mathematics, locus is the set of points that satisfies the same geometrical properties. In most cases, the relationship of these points is defined according to their position in rectangular coordinates.
 

Example 1
Determine the equation of the curve such that the sum of the distances of any point of the curve from two points whose coordinates are (-3, 0) and (3, 0) is always equal to 8.
    A.   4x2 + 49y2 - 343 = 0
    B.   7x2 + 16y2 - 112 = 0
    C.   7x2 - 16y2 + 112 = 0
    D.   4x2 - 49y2 + 343 = 0
 

Problem 01 - Equation of a curve

Problem 01
Determine the equation of the curve such that the sum of the distances of any point of the curve from two points whose coordinates are (–3, 0) and (3, 0) is always equal to 8.
 

ellipse-problem-01-locus-abc.gif

 

 
 
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