FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health
Fx Copy
LaTeX Copy
Latus Rectum of Hyperbola is the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola. Check FAQs
L=2⋅a⋅(e2-1)
L - Latus Rectum of Hyperbola?a - Semi Transverse Axis of Hyperbola?e - Eccentricity of Hyperbola?

Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Example

With values
With units
Only example

Here is how the Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis equation looks like with Values.

Here is how the Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis equation looks like with Units.

Here is how the Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis equation looks like.

80Edit=2⋅5Edit⋅(3Edit2-1)
Solution
Copy
Reset
Share
You are here -

Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Solution

Follow our step by step solution on how to calculate Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis?

FIRST Step Consider the formula
L=2⋅a⋅(e2-1)
Next Step Substitute values of Variables
∴ L=2⋅5m⋅(3m2-1)
Next Step Prepare to Evaluate
∴ L=2⋅5⋅(32-1)
LAST Step Evaluate
∴L=80m

Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula Elements

Variables
Latus Rectum of Hyperbola
Latus Rectum of Hyperbola is the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Latus Rectum of HyperbolaOpen Variable
Semi Transverse Axis of Hyperbola
Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.
Symbol: a
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Semi Transverse Axis of HyperbolaOpen Variable
Eccentricity of Hyperbola
Eccentricity of Hyperbola is the ratio of distances of any point on the Hyperbola from focus and the directrix, or it is the ratio of linear eccentricity and semi transverse axis of the Hyperbola.
Symbol: e
Measurement: LengthUnit: m
Note: Value should be greater than 1.
Formulas to find Eccentricity of HyperbolaOpen Variable

Other Formulas to find Latus Rectum of Hyperbola

​Go Latus Rectum of Hyperbola
L=2⋅b2a
​Go Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis
L=(2⋅b2)2c2-b2

Other formulas in Latus Rectum of Hyperbola category

​Go Semi Latus Rectum of Hyperbola
LSemi=b2a

How to Evaluate Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis?

Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis evaluator uses Latus Rectum of Hyperbola = 2*Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1) to evaluate the Latus Rectum of Hyperbola, The Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis formula is defined as the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola and is calculated using the eccentricity and semi-transverse axis of the Hyperbola. Latus Rectum of Hyperbola is denoted by L symbol.

How to evaluate Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis using this online evaluator? To use this online evaluator for Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis, enter Semi Transverse Axis of Hyperbola (a) & Eccentricity of Hyperbola (e) and hit the calculate button.

FAQs on Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis

What is the formula to find Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis?
The formula of Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis is expressed as Latus Rectum of Hyperbola = 2*Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1). Here is an example- 80 = 2*5*(3^2-1).
How to calculate Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis?
With Semi Transverse Axis of Hyperbola (a) & Eccentricity of Hyperbola (e) we can find Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis using the formula - Latus Rectum of Hyperbola = 2*Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1).
What are the other ways to Calculate Latus Rectum of Hyperbola?
Here are the different ways to Calculate Latus Rectum of Hyperbola-
  • Latus Rectum of Hyperbola=2*(Semi Conjugate Axis of Hyperbola^2)/(Semi Transverse Axis of Hyperbola)OpenImg
  • Latus Rectum of Hyperbola=sqrt((2*Semi Conjugate Axis of Hyperbola^2)^2/(Linear Eccentricity of Hyperbola^2-Semi Conjugate Axis of Hyperbola^2))OpenImg
Can the Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis be negative?
No, the Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis, measured in Length cannot be negative.
Which unit is used to measure Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis?
Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2025. Developed & Maintained by softUsvista Inc.
Copied!