Respuesta :
The conic section as a collection of points(loci) on a plane can be defined in this way .
What is conic section?
A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are four main types of conic sections:
circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.
What is loci?
A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
According to the question
There are 4 main types of Conic section :
circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas
Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.
Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .
Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.
Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.
Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .
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