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Diameter bisecting chords of Parabola Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter = (2*X coordinate of focus of Parabola)/Slope of Line
d = (2*Xfocus_Parabola)/m
This formula uses 2 Variables
Variables Used
X coordinate of focus of Parabola - X coordinate of focus of Parabola is a point corresponding to focus of Parabola and X-axis. (Measured in Hundred)
Slope of Line- The Slope of 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*Xfocus_Parabola)/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)

7 Distance of Parabola Calculators

Length of chord intercepted by Parabola
chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5) Go
Length of latusrectum of Parabola given length of focal segments
latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2) Go
Diameter bisecting chords of Parabola
diameter = (2*X coordinate of focus of Parabola)/Slope of Line Go
Distance between directrix and latus rectum of Parabola opening to right
distance_1 = 2*Focal distance of Parabola Go
Distance between directrix and vertex of Parabola opening to right
distance_1 = Focal distance of Parabola Go
Length measured from vertex to focus of Parabola
length = 1/(4*Focal distance of Parabola) Go
Length of latus rectum of Parabola
latus_rectum = 4*Focus Go

Diameter bisecting chords of Parabola Formula

diameter = (2*X coordinate of focus of Parabola)/Slope of Line
d = (2*Xfocus_Parabola)/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 Parabola?

Diameter bisecting chords of Parabola calculator uses diameter = (2*X coordinate of focus of Parabola)/Slope of Line to calculate the Diameter, Diameter bisecting chords of Parabola 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 Parabola using this online calculator? To use this online calculator for Diameter bisecting chords of Parabola, enter X coordinate of focus of Parabola (Xfocus_Parabola) & Slope of Line (m) and hit the calculate button. Here is how the Diameter bisecting chords of Parabola calculation can be explained with given input values -> 2.5 = (2*5)/4.

FAQ

What is Diameter bisecting chords of Parabola?
Diameter bisecting chords of Parabola 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*Xfocus_Parabola)/m or diameter = (2*X coordinate of focus of Parabola)/Slope of Line. X coordinate of focus of Parabola is a point corresponding to focus of Parabola and X-axis & The Slope of 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 Parabola?
Diameter bisecting chords of Parabola 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 Parabola, you need X coordinate of focus of Parabola (Xfocus_Parabola) & Slope of Line (m). With our tool, you need to enter the respective value for X coordinate of focus of Parabola & 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 & Slope of Line. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • distance_1 = 2*Focal distance of Parabola
  • length = 1/(4*Focal distance of Parabola)
  • distance_1 = Focal distance of Parabola
  • latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2)
  • latus_rectum = 4*Focus
  • chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5)
  • diameter = (2*X coordinate of focus of Parabola)/Slope of Line
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