Which line is always parallel to the Directrix?

The "latus rectum" is the chord of the parabola that is parallel to the directrix and passes through the focus.

Which line is parallel to the directrix?

The line segment that passes through the focus and is parallel to the directrix is called the latus rectum.

Which line is always perpendicular to the directrix?

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

Is the axis of symmetry parallel to the directrix?

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 .

What is the line of directrix?

The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix.

Finding The Focus and Directrix of a Parabola - Conic Sections

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.

Is the vertex halfway between the focus and directrix?

The point on the parabola halfway between the focus and the directrix is the vertex. The line containing the focus and the vertex is the axis. A parabola is symmetric with respect to its axis.

What are the coordinates of the focus and the equation of the directrix?

The equation of the directrix of the parabola is y = 3. What are the coordinates of its focus? The focus of a parabola is located at (0,-2). The directrix of the parabola is represented by y = 2.

Are parabola always symmetrical?

Parabolas always have perfect symmetry. The axis of symmetry of a parabola does not always lie on the y-axis. A parabola can have an axis of symmetry that is left or right of the y-axis, and the parabola can open upward, as in Figure 2, or it can open downward.

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.

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 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.

Which is the equation for the Directrix related to the parabola?

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola. Therefore, the directrix is x = 2.

What is Directrix in conic section?

In the conic section, a directrix is a line that is together with the point called the focus. It helps to define the conic section as the locus of points, such that the distance from the focus is proportional to the horizontal distance from the line, called the directrix, and “r” being the constant of proportionality.

Is it possible for a parabola to intersect its Directrix?

SOLVED:It is possible for a parabola to intersect its directrix.

Which part of the graph will the Directrix pass through?

The directrix will cross through the positive part of the y-axis.

Which equation represents the Directrix?

The directrix of the parabola is represented by y = 2.

How do you find the focus and Directrix given the vertex?

The standard form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)² = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

What part of the parabola is perpendicular to the Directrix and passes through the vertex?

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". The point where the parabola intersects its axis of symmetry is called the "vertex" and is the point where the parabola is most sharply curved.

What is the Directrix and focus of a 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 focus always inside the parabola?

The focus is always inside the parabola.

Which line passes through the focus and two points on the parabola?

The "axis" of a parabola is the line which passes through the focus and is perpendicular to the directrix. The "vertex" is the point where the axis crosses the parabola. The "latus rectum" is the chord passing through the focus and perpendicular to the axis.

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.