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Diameter bisecting chords of slope m to the parabola y2 = 4ax Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter = (2*x coordinate of focus of parabola)/Slope of Line
d = (2*a)/m
This formula uses 2 Variables
Variables Used
x coordinate of focus of parabola - x coordinate of focus of parabola is just a number. (Measured in Hundred)
Slope of Line- The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
STEP 1: Convert Input(s) to Base Unit
x coordinate of focus of parabola: 5 Hundred --> 5 Hundred No Conversion Required
Slope of Line: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (2*a)/m --> (2*5)/4
Evaluating ... ...
d = 2.5
STEP 3: Convert Result to Output's Unit
2.5 Meter --> No Conversion Required
FINAL ANSWER
2.5 Meter <-- Diameter
(Calculation completed in 00.000 seconds)

10+ Distance of Parabola Calculators

Length of the latusrectum if length of the focal segments are given
latus_rectum = (4*focal segment 1*focal segment 2)/(focal segment 1+focal segment 2) Go
Distance from the vertex to the focus of parabola
distance_from_the_vertex_to_the_focus_of_parabola = 1/(4*focal distance of parabola) Go
Distance between the directrix and vertex for parabola y2 = 4ax
distance_between_the_directrix_and_vertex_of_parabola = focal distance of parabola Go
Focal distance of parabola if distance between directrix and latus rectum
focal_distance_of_parabola = (Distance between directrix and latus rectum/2) Go
Distance between directrix and latus rectum for parabola y2 = 4ax
distance_between_directrix_and_latus_rectum = 2*focal distance of parabola Go
Focal distance of a point on parabola x^2 = -4ay
focal_distance_of_a_point = Focus-y1 Go
Focal distance of a point on parabola y^2 = -4ax
focal_distance_of_a_point = Focus-x1 Go
Focal distance of a point on parabola x^2 = 4ay
focal_distance_of_a_point = y1+Focus Go
Focal distance of a point on parabola y^2 = 4ax
focal_distance_of_a_point = x1+Focus Go
Focal distance of parabola if length of latusractum is given
focal_distance_of_parabola = (latusractum of parabola/4) Go

Diameter bisecting chords of slope m to the parabola y2 = 4ax Formula

diameter = (2*x coordinate of focus of parabola)/Slope of Line
d = (2*a)/m

How to calculate the diameter bisecting chords of slope m to the parabola y2 = 4ax?

A parabola is the locus of a point which moves in a plane such that its distance from a fixed point in the plane is always equal to its distance from a fixed straight line in the same plane. A diameter of a parabola is any straight line parallel to its axis, and can be defined as the locus of the midpoints of a set of parallel chords.

How to Calculate Diameter bisecting chords of slope m to the parabola y2 = 4ax?

Diameter bisecting chords of slope m to the parabola y2 = 4ax calculator uses diameter = (2*x coordinate of focus of parabola)/Slope of Line to calculate the Diameter, The Diameter bisecting chords of slope m to the parabola y2 = 4ax formula is defined as the locus of mid-point of a system of parallel chords of a conic is known its diameter. Diameter and is denoted by d symbol.

How to calculate Diameter bisecting chords of slope m to the parabola y2 = 4ax using this online calculator? To use this online calculator for Diameter bisecting chords of slope m to the parabola y2 = 4ax, enter x coordinate of focus of parabola (a) and Slope of Line (m) and hit the calculate button. Here is how the Diameter bisecting chords of slope m to the parabola y2 = 4ax calculation can be explained with given input values -> 2.5 = (2*5)/4.

FAQ

What is Diameter bisecting chords of slope m to the parabola y2 = 4ax?
The Diameter bisecting chords of slope m to the parabola y2 = 4ax formula is defined as the locus of mid-point of a system of parallel chords of a conic is known its diameter and is represented as d = (2*a)/m or diameter = (2*x coordinate of focus of parabola)/Slope of Line. x coordinate of focus of parabola is just a number and The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
How to calculate Diameter bisecting chords of slope m to the parabola y2 = 4ax?
The Diameter bisecting chords of slope m to the parabola y2 = 4ax formula is defined as the locus of mid-point of a system of parallel chords of a conic is known its diameter is calculated using diameter = (2*x coordinate of focus of parabola)/Slope of Line. To calculate Diameter bisecting chords of slope m to the parabola y2 = 4ax, you need x coordinate of focus of parabola (a) and Slope of Line (m). With our tool, you need to enter the respective value for x coordinate of focus of parabola and Slope of Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diameter?
In this formula, Diameter uses x coordinate of focus of parabola and Slope of Line. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • distance_between_directrix_and_latus_rectum = 2*focal distance of parabola
  • distance_from_the_vertex_to_the_focus_of_parabola = 1/(4*focal distance of parabola)
  • distance_between_the_directrix_and_vertex_of_parabola = focal distance of parabola
  • focal_distance_of_parabola = (Distance between directrix and latus rectum/2)
  • focal_distance_of_parabola = (latusractum of parabola/4)
  • latus_rectum = (4*focal segment 1*focal segment 2)/(focal segment 1+focal segment 2)
  • focal_distance_of_a_point = y1+Focus
  • focal_distance_of_a_point = Focus-y1
  • focal_distance_of_a_point = x1+Focus
  • focal_distance_of_a_point = Focus-x1
Where is the Diameter bisecting chords of slope m to the parabola y2 = 4ax calculator used?
Among many, Diameter bisecting chords of slope m to the parabola y2 = 4ax calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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