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Locus Mathematics

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In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

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16 Pages Partial Study Notes 1-2 Years old
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Locus Mathematics
Topics this document covers:
Geometry Algebraic geometry Conic sections Analytic geometry Elementary geometry Parabolas Perpendicular Locus Focus Equidistant Completing the square Circle
This is a Partial Set of Study Notes

Partial Study Notes typically cover only single topics of a unit of study or do not cover multiple topics in significant detail. They are generally less than 20 pages in length.

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Topics this document covers:
Geometry Algebraic geometry Conic sections Analytic geometry Elementary geometry Parabolas Perpendicular Locus Focus Equidistant Completing the square Circle
Sample Text:
Simple loci: sketch the locus, then write down its equation. Harder loci: use algebraic methods to find the equation of a locus, sketch the locus with a general point P(x, y) placed in the plane, then formal algebraic work should begin with 'The condition that P lie on the locus is .....' Example: (1) Sketch the locus of a point whose distance from the y­axis is 4 units, then write down its equation. ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­6 y 6 5 4 3 The equation 2 of the locus is 1 x ­1 ­2 ­3 ­4 ­5 (2) A point P moves so that its distance from the y­axis is always equal to its distance from the x­axis. What is the locus of P y x PA = PB ∴ y = x or ________________ (3) A point P(x,y) moves so it is always equidistant from the points A(­1,6) and B(3,2). Fin...
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