What is the line through point F perpendicular to the directrix called?

A line through the focus and perpendicular to the directrix is called the axis of the parabola.

What line is perpendicular to the directrix?

The line perpendicular to the directrix and passing through the focus (that is, the line that splits the parabola through the middle) is called the "axis of symmetry".

Is the line perpendicular to the directrix and passing through the fixed point?

The straight line passing through the focus and perpendicular to the directrix is known as transverse axis.

Which line is always perpendicular to the directrix of the parabola?

The "axis" of a parabola is the line which passes through the focus and is perpendicular to the directrix.

Is the directrix perpendicular to the axis of symmetry?

The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola. If the axis of symmetry of a parabola is vertical, the directrix is a horizontal line . If we consider only parabolas that open upwards or downwards, then the directrix is a horizontal line of the form y=c .

Writing Equations of Lines Parallel and Perpendicular to a Given Line Through a Point

What is the midpoint of the perpendicular segment from the focus to the Directrix?

The midpoint of the perpendicular segment from the focus to the directrix is called the vertex of the parabola. The line that passes through the vertex and focus is called the axis of symmetry.

What is the name of the line and the point that a parabola is created from?

To form a parabola according to ancient Greek definitions, you would start with a line and a point off to one side. The line is called the "directrix"; the point is called the "focus". The parabola is the curve formed from all the points (x, y) that are equidistant from the directrix and the focus.

What is meant by latus rectum?

Definition of latus rectum

: a chord of a conic section (such as an ellipse) that passes through a focus and is parallel to the directrix.

What do you call the line segment through the focus perpendicular to the axis of symmetry?

A line segment that passes through the focus of a parabola and has endpoints on the parabola is called a focal chord. The specific focal chord perpendicular to the axis of the parabola is the latus rectum.

What is the fixed line in parabola?

The parabola is defined in analytic geometry as the set of all points P in a plane that are the same distance from a given line and a fixed point not on a line. The fixed point is called the focus and the fixed line is called the directrix.

What is a line perpendicular to the axis passing through the focus and terminates on the parabola itself?

Latus Rectum, denoted by LR, is a line perpendicular to the axis, passing through the focus and terminates on the parabola itself.

What is a parabolic curve?

A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and. a fixed straight line (the directrix )

Which line is a directrix of the hyperbola?

The directrix is the line which is parallel to y axis and is given by x=ae or a2c and here e=√a2+b2a2 and represents the eccentricity of the hyperbola.

What do you call the line passing through the focus and the vertex of the parabola?

The midpoint of the perpendicular segment from the focus to the directrix is called the vertex of the parabola. The line that passes through the vertex and focus is called the axis of symmetry (see Figure 1.)

What do you call the line that passes through the vertex of the parabola?

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

What is the line that passes through the foci?

A line drawn through the foci intersect the ellipse in two points. Each point is called a vertex of the ellipse. The segment connecting the vertices is called the major axis. The midpoint of the segment is called the center of the ellipse.

What is focus and directrix of parabola?

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.

Is the chord through a focus parallel to the conic section Directrix?

The latus rectum is the chord parallel to the directrix and passing through a focus; its half-length is the semi-latus rectum (ℓ). The focal parameter (p) is the distance from a focus to the corresponding directrix.

What is focal radii of parabola?

Let P(at2,2at) be any point on the parabola. Then SP is focal radii of the parabola. The equation of a circle with SP as diameter is. (x−a)(x−at2)+(y−0)(y−2at)=0. It meets y-axis at x=0.

What do you mean by foci?

1 : a point at which rays (as of light, heat, or sound) meet after being reflected or bent : the point at which an image is formed. 2 : the distance from a lens or mirror to a focus.

What is the other name for latus rectum?

The latus rectum of a conic section is the chord through a focus parallel to the conic section directrix (Coxeter 1969). "Latus rectum" is a compound of the Latin latus, meaning "side," and rectum, meaning "straight." Half the latus rectum is called the semilatus rectum.

What do you mean by lettuce?

Definition of lettuce

: any of a genus (Lactuca) of composite plants especially : a common garden vegetable (L. sativa) whose succulent leaves are used especially in salads.

What do you call the chord through a focus parallel to the directrix of a parabola?

A latus rectum of a conic section is a chord through a focus parallel to the directrix. Find the area bounded by the parabola displaystyle{y}={x}^{2}text{/}{left({4}{c}right)} and its latus rectum.

What is a hyperbola in conic section?

hyperbola, two-branched open curve, a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes (see cone) of the cone.

What is the name of the fixed point that is equidistant from all the points on a parabola called?

9. A parabola is the set of points equidistant from a line, called the directrix, and a fixed point, called the focus.