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Hi
In mathematics, a locus is a collection of points which share a property. The term locus is usually used of a condition which defines a continuous figure or figures, that is, a curve. For example, in two-dimensional space a line is the locus of points equidistant from two fixed points or from two parallel lines.
There are different ways of defining locus.
i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions.
ii) If a point moves according to some given geometrical conditions, then the path traced out by the moving point is called its locus.
iii) The locus of a point is the path traced by it, when it moves under a given condition or conditions.
The locus or graph of a equation in two variables is the curve or straight line containing all the points, and only the points whose coordinates satisfy the equation.
The conic sections may be defined in terms of loci:
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