What is locus in conic section?

What is locus in conic section?

locus: The set of all points whose coordinates satisfy a given equation or condition. focus: A point used to construct and define a conic section, at which rays reflected from the curve converge (plural: foci).

What is the locus of a hyperbola?

Hyperbola is defined as the locus of points P (x, y) such that the difference of the distance from P to two fixed points F1(-c, 0) and F2(c, 0) that is called foci are constant. The midpoint of the two foci points F1 and F2 is called the center of a hyperbola.

What is the locus definition of a circle?

Univ. A locus is a set of points that meet a given condition. The definition of a circle locus of points a given distance from a given point in a 2-dimensional plane. The given distance is the radius and the given point is the center of the circle.

What is equation of locus?

Thus, the equation of locus is, y2−4y+2x+5=0 y 2 − 4 y + 2 x + 5 = 0 which is a parabola.

What is degenerate cone?

Using the alternative definition of the conic as the intersection in three-dimensional space of a plane and a double cone, a conic is degenerate if the plane goes through the vertex of the cones. …

What is a Directrix?

1 archaic : directress. 2 : a fixed curve with which a generatrix maintains a given relationship in generating a geometric figure specifically : a straight line the distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus.

What is locus of point?

In mathematics, a locus of points is a set of points that all satisfy some given condition or property. Some examples of loci of points are the set of all points the same distance from a point; the set of all points satisfying a given equation; or the set of all points that are the same distance from two given points.

What is locus class 12 biology?

The position of the gene on the particular chromosome is called the locus. Each gene possesses a different locus on the chromosome but the alleles are said to occupy the same locus on the chromosome.

What is called locus?

In geometry, 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.