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Latus Rectum of Hyperbola Formula

GoLatus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula

GoLatus Rectum of Hyperbola given Linear 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 \frac{b^{2}}{a}

L - Latus Rectum of Hyperbola?b - Semi Conjugate Axis of Hyperbola?a - Semi Transverse Axis of Hyperbola?

Latus Rectum of Hyperbola Example

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Here is how the Latus Rectum of Hyperbola equation looks like with Values.

Here is how the Latus Rectum of Hyperbola equation looks like with Units.

Here is how the Latus Rectum of Hyperbola equation looks like.

57.6 = 2 \cdot \frac{12^{2}}{5}

57.6m = 2 \cdot \frac{{12m}^{2}}{5m}

57.6 = 2 \cdot \frac{12^{2}}{5}

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Latus Rectum of Hyperbola Solution

Follow our step by step solution on how to calculate Latus Rectum of Hyperbola?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 2 \cdot \frac{{12m}^{2}}{5m}

Next Step Prepare to Evaluate

∴

L = 2 \cdot \frac{12^{2}}{5}

LAST Step Evaluate

∴

L = 57.6m

Latus Rectum of Hyperbola 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 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

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

Other Formulas to find Latus Rectum of Hyperbola

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}

How to Evaluate Latus Rectum of Hyperbola?

Latus Rectum of Hyperbola evaluator uses Latus Rectum of Hyperbola = 2*(Semi Conjugate Axis of Hyperbola^2)/(Semi Transverse Axis of Hyperbola) to evaluate the Latus Rectum of Hyperbola, Latus Rectum of Hyperbola 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. Latus Rectum of Hyperbola is denoted by L symbol.

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

FAQs on Latus Rectum of Hyperbola

What is the formula to find Latus Rectum of Hyperbola?

The formula of Latus Rectum of Hyperbola is expressed as Latus Rectum of Hyperbola = 2*(Semi Conjugate Axis of Hyperbola^2)/(Semi Transverse Axis of Hyperbola). Here is an example- 57.6 = 2*(12^2)/(5).

How to calculate Latus Rectum of Hyperbola?

With Semi Conjugate Axis of Hyperbola (b) & Semi Transverse Axis of Hyperbola (a) we can find Latus Rectum of Hyperbola using the formula - Latus Rectum of Hyperbola = 2*(Semi Conjugate Axis of Hyperbola^2)/(Semi Transverse Axis of Hyperbola).

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

Can the Latus Rectum of Hyperbola be negative?

No, the Latus Rectum of Hyperbola, measured in Length cannot be negative.

Which unit is used to measure Latus Rectum of Hyperbola?

Latus Rectum of Hyperbola 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 can be measured.

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Latus Rectum of Hyperbola Formula

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

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

Latus Rectum of Hyperbola Example

Latus Rectum of Hyperbola Solution

Latus Rectum of Hyperbola 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?

FAQs on Latus Rectum of Hyperbola

Variable Name

GoLatus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula

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