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If the distance from the green point on the parabola to the parabola's focus is 7 What is the distance from the green point to the directrix?
In a parabola, the distance from any point on the curve to the focus is equal to the distance from that point to the directrix. If the distance from the green point on the parabola to the focus is 7, then the distance from the green point to the directrix is also 7. Therefore, the distance from the green point to the directrix is 7.
What is the Importance of focus in parabola?
The focus of a parabola is a crucial point that defines its geometric properties and plays an essential role in its reflective characteristics. It is the point where all rays parallel to the axis of symmetry converge after reflecting off the parabola's surface. This property is utilized in various applications, such as in satellite dishes and car headlights, where directed light or signals are required. Additionally, the focus is vital in mathematical equations and helps in understanding the parabola's shape and orientation.
What is the optical property of a parabola?
"Any light beam moving vertically downwards in the concavity of the parabola (parallel to the axis of symmetry) will bounce off the parabola moving directly towards the focus." http://en.wikipedia.org/wiki/Parabola
Why is every point on a parabola equidistant to the focus and the directrix?
Because that is how a parabola is defined!
What is the primary focal chord of a parabola?
The primary focal chord of a parabola is a line segment that passes through the focus of the parabola and has its endpoints on the parabola itself. For a standard parabola defined by the equation (y^2 = 4px), the focus is located at the point ((p, 0)). The primary focal chord is unique in that it is perpendicular to the axis of symmetry of the parabola and is the longest chord that can be drawn through the focus.
How many foci does a parabola have?
A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■
The distance from the green point on the parabola to the parabola's focus is 9. What is the distance from the green point to the directrix?
In a parabola, the distance from any point on the parabola to the focus is equal to the distance from that point to the directrix. Since the distance from the green point on the parabola to the focus is given as 9, the distance from the green point to the directrix is also 9. Thus, both distances are equal.
Is equidistant from a given directrix and focus?
Any point on a parabola.
What is the point directly above the focus?
The point directly above the focus is the vertex of the parabola. The focus is a specific point on the axis of symmetry of the parabola, and the vertex is the point on the parabola that is closest to the focus.
What is the midpoint of the parabola between the focus and the directrix?
It is the apex of the parabola.
If the distance from the green point on the parabola to the parabola's focus is 7 What is the distance from the green point to the directrix?
In a parabola, the distance from any point on the curve to the focus is equal to the distance from that point to the directrix. If the distance from the green point on the parabola to the focus is 7, then the distance from the green point to the directrix is also 7. Therefore, the distance from the green point to the directrix is 7.
What is the Importance of focus in parabola?
The focus of a parabola is a crucial point that defines its geometric properties and plays an essential role in its reflective characteristics. It is the point where all rays parallel to the axis of symmetry converge after reflecting off the parabola's surface. This property is utilized in various applications, such as in satellite dishes and car headlights, where directed light or signals are required. Additionally, the focus is vital in mathematical equations and helps in understanding the parabola's shape and orientation.
What is the optical property of a parabola?
"Any light beam moving vertically downwards in the concavity of the parabola (parallel to the axis of symmetry) will bounce off the parabola moving directly towards the focus." http://en.wikipedia.org/wiki/Parabola
Why is every point on a parabola equidistant to the focus and the directrix?
Because that is how a parabola is defined!
What is the directrix of a parabola?
"From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix. It can be shown that the line of symmetry of the parabola is the line perpendicular to the directrix through the focus. The vertex of the parabola is the point of the parabola that is closest to both the focus and directrix."-http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/parabola.htm"A line perpendicular to the axis of symmetry used in the definition of a parabola. A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus, or set of points, such that the distance to the focus equals the distance to the directrix."-http://www.mathwords.com/d/directrix_parabola.htm
What is the primary focal chord of a parabola?
The primary focal chord of a parabola is a line segment that passes through the focus of the parabola and has its endpoints on the parabola itself. For a standard parabola defined by the equation (y^2 = 4px), the focus is located at the point ((p, 0)). The primary focal chord is unique in that it is perpendicular to the axis of symmetry of the parabola and is the longest chord that can be drawn through the focus.
What are the steps solving a parabola?
The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?
