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Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Formula

GoTransverse Axis of Hyperbola Formula

GoTransverse Axis of Hyperbola given Linear Eccentricity and Eccentricity Formula

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Transverse Axis of Hyperbola is the line segment joining two vertices of the Hyperbola. Check FAQs

2a = \frac{L}{e^{2} - 1}

2a - Transverse Axis of Hyperbola?L - Latus Rectum of Hyperbola?e - Eccentricity of Hyperbola?

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Example

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

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

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

7.5 = \frac{60}{3^{2} - 1}

7.5m = \frac{60m}{{3m}^{2} - 1}

7.5 = \frac{60}{3^{2} - 1}

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Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Solution

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

FIRST Step Consider the formula

2a = \frac{L}{e^{2} - 1}

Next Step Substitute values of Variables

∴

2a = \frac{60m}{{3m}^{2} - 1}

Next Step Prepare to Evaluate

∴

2a = \frac{60}{3^{2} - 1}

LAST Step Evaluate

∴

2a = 7.5m

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Formula Elements

Variables

Transverse Axis of Hyperbola

Transverse Axis of Hyperbola is the line segment joining two vertices of the Hyperbola.

Symbol: 2a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Transverse Axis of Hyperbola

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

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

Other Formulas to find Transverse Axis of Hyperbola

Go Transverse Axis of Hyperbola

2a = 2 \cdot a

Go Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

2a = \frac{2 \cdot c}{e}

Other formulas in Transverse Axis of Hyperbola category

Go Semi Transverse Axis of Hyperbola given Eccentricity

a = \frac{b}{\sqrt{e^{2} - 1}}

Go Semi Transverse Axis of Hyperbola

a = \frac{2a}{2}

Go Semi Transverse Axis of Hyperbola given Latus Rectum

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

Go Semi Transverse Axis of Hyperbola given Linear Eccentricity

a = \sqrt{c^{2} - b^{2}}

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

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity evaluator uses Transverse Axis of Hyperbola = Latus Rectum of Hyperbola/(Eccentricity of Hyperbola^2-1) to evaluate the Transverse Axis of Hyperbola, The Transverse Axis of Hyperbola given Latus Rectum and Eccentricity formula is defined as the line segment joining two vertices of the Hyperbola and is calculated using the latus rectum and eccentricity of the Hyperbola. Transverse Axis of Hyperbola is denoted by 2a symbol.

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

FAQs on Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

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

The formula of Transverse Axis of Hyperbola given Latus Rectum and Eccentricity is expressed as Transverse Axis of Hyperbola = Latus Rectum of Hyperbola/(Eccentricity of Hyperbola^2-1). Here is an example- 7.5 = 60/(3^2-1).

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

With Latus Rectum of Hyperbola (L) & Eccentricity of Hyperbola (e) we can find Transverse Axis of Hyperbola given Latus Rectum and Eccentricity using the formula - Transverse Axis of Hyperbola = Latus Rectum of Hyperbola/(Eccentricity of Hyperbola^2-1).

What are the other ways to Calculate Transverse Axis of Hyperbola?

Here are the different ways to Calculate Transverse Axis of Hyperbola-

Transverse Axis of Hyperbola=2*Semi Transverse Axis of Hyperbola
Transverse Axis of Hyperbola=(2*Linear Eccentricity of Hyperbola)/Eccentricity of Hyperbola

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

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

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

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Transverse Axis of Hyperbola given Latus Rectum and Eccentricity can be measured.

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Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Formula

​GoTransverse Axis of Hyperbola Formula

​GoTransverse Axis of Hyperbola given Linear Eccentricity and Eccentricity Formula

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Example

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Solution

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity Formula Elements

Other Formulas to find Transverse Axis of Hyperbola

Other formulas in Transverse Axis of Hyperbola category

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

FAQs on Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

Variable Name

GoTransverse Axis of Hyperbola Formula

GoTransverse Axis of Hyperbola given Linear Eccentricity and Eccentricity Formula