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

GoLatus Rectum of Hyperbola Formula

GoLatus Rectum of Hyperbola given Eccentricity and Semi Conjugate 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 = 2 \cdot a \cdot ({(\frac{c}{a})}^{2} - 1)

L - Latus Rectum of Hyperbola?a - Semi Transverse Axis of Hyperbola?c - Linear Eccentricity of Hyperbola?

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

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

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

57.6 = 2 \cdot 5 \cdot ({(\frac{13}{5})}^{2} - 1)

57.6m = 2 \cdot 5m \cdot ({(\frac{13m}{5m})}^{2} - 1)

57.6 = 2 \cdot 5 \cdot ({(\frac{13}{5})}^{2} - 1)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 2 \cdot 5m \cdot ({(\frac{13m}{5m})}^{2} - 1)

Next Step Prepare to Evaluate

∴

L = 2 \cdot 5 \cdot ({(\frac{13}{5})}^{2} - 1)

LAST Step Evaluate

∴

L = 57.6m

Latus Rectum of Hyperbola given Linear 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 Hyperbola

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 Hyperbola

Linear Eccentricity of Hyperbola

Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Linear Eccentricity of Hyperbola

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 Conjugate Axis

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

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 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 Linear Eccentricity and Semi Transverse Axis?

Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis evaluator uses Latus Rectum of Hyperbola = 2*Semi Transverse Axis of Hyperbola*((Linear Eccentricity of Hyperbola/Semi Transverse Axis of Hyperbola)^2-1) to evaluate the Latus Rectum of Hyperbola, The Latus Rectum of Hyperbola given Linear 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 linear 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 Linear Eccentricity and Semi Transverse Axis using this online evaluator? To use this online evaluator for Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis, enter Semi Transverse Axis of Hyperbola (a) & Linear Eccentricity of Hyperbola (c) and hit the calculate button.

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

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

The formula of Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis is expressed as Latus Rectum of Hyperbola = 2*Semi Transverse Axis of Hyperbola*((Linear Eccentricity of Hyperbola/Semi Transverse Axis of Hyperbola)^2-1). Here is an example- 57.6 = 2*5*((13/5)^2-1).

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

With Semi Transverse Axis of Hyperbola (a) & Linear Eccentricity of Hyperbola (c) we can find Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis using the formula - Latus Rectum of Hyperbola = 2*Semi Transverse Axis of Hyperbola*((Linear Eccentricity of Hyperbola/Semi Transverse Axis 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)
Latus Rectum of Hyperbola=sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1))
Latus Rectum of Hyperbola=2*Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1)

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

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

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

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

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

​GoLatus Rectum of Hyperbola Formula

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

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

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

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

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

Variable Name

GoLatus Rectum of Hyperbola Formula

GoLatus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula