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Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

GoLatus Rectum of Hyperbola Formula

GoLatus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula

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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 = \sqrt{{(2 \cdot b)}^{2} \cdot (e^{2} - 1)}

L - Latus Rectum of Hyperbola?b - Semi Conjugate Axis of Hyperbola?e - Eccentricity of Hyperbola?

Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Example

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

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

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

67.8823 = \sqrt{{(2 \cdot 12)}^{2} \cdot (3^{2} - 1)}

67.8823m = \sqrt{{(2 \cdot 12m)}^{2} \cdot ({3m}^{2} - 1)}

67.8823 = \sqrt{{(2 \cdot 12)}^{2} \cdot (3^{2} - 1)}

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Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Solution

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

FIRST Step Consider the formula

L = \sqrt{{(2 \cdot b)}^{2} \cdot (e^{2} - 1)}

Next Step Substitute values of Variables

∴

L = \sqrt{{(2 \cdot 12m)}^{2} \cdot ({3m}^{2} - 1)}

Next Step Prepare to Evaluate

∴

L = \sqrt{{(2 \cdot 12)}^{2} \cdot (3^{2} - 1)}

Next Step Evaluate

∴

L = 67.8822509939086m

LAST Step Rounding Answer

∴

L = 67.8823m

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

Variables

Functions

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 Hyperbola

Semi Conjugate Axis of Hyperbola

Semi Conjugate Axis of Hyperbola is half of the tangent from any of the vertices of the Hyperbola and chord to the circle passing through the foci and centered at the center of the Hyperbola.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Conjugate Axis of Hyperbola

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 Hyperbola

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Latus Rectum of Hyperbola

Go Latus Rectum of Hyperbola

L = 2 \cdot \frac{b^{2}}{a}

Go Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis

L = 2 \cdot a \cdot (e^{2} - 1)

Go Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis

L = 2 \cdot a \cdot ({(\frac{c}{a})}^{2} - 1)

Go Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

L = \sqrt{\frac{{(2 \cdot b^{2})}^{2}}{c^{2} - b^{2}}}

Other formulas in Latus Rectum of Hyperbola category

Go Semi Latus Rectum of Hyperbola

L Semi = \frac{b^{2}}{a}

Go Semi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

L Semi = \frac{\sqrt{\frac{{(2 \cdot b^{2})}^{2}}{c^{2} - b^{2}}}}{2}

Go Semi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis

L Semi = a \cdot ({(\frac{c}{a})}^{2} - 1)

Go Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis

L Semi = a \cdot (e^{2} - 1)

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

Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis evaluator uses Latus Rectum of Hyperbola = sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1)) to evaluate the Latus Rectum of Hyperbola, The Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate 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-conjugate axis of the Hyperbola. Latus Rectum of Hyperbola is denoted by L symbol.

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

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

What is the formula to find Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis?

The formula of Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis is expressed as Latus Rectum of Hyperbola = sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1)). Here is an example- 67.88225 = sqrt((2*12)^2*(3^2-1)).

How to calculate Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis?

With Semi Conjugate Axis of Hyperbola (b) & Eccentricity of Hyperbola (e) we can find Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis using the formula - Latus Rectum of Hyperbola = sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1)). This formula also uses Square Root (sqrt) function(s).

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)
Latus Rectum of Hyperbola=2*Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1)
Latus Rectum of Hyperbola=2*Semi Transverse Axis of Hyperbola*((Linear Eccentricity of Hyperbola/Semi Transverse Axis of Hyperbola)^2-1)

Can the Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis be negative?

No, the Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis, measured in Length cannot be negative.

Which unit is used to measure Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis?

Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate 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 Conjugate Axis can be measured.

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Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

​GoLatus Rectum of Hyperbola Formula

​GoLatus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula

Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Example

Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Solution

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

Other Formulas to find Latus Rectum of Hyperbola

Other formulas in Latus Rectum of Hyperbola category

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

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

Variable Name

GoLatus Rectum of Hyperbola Formula

GoLatus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula