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Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula

GoEccentricity of Hyperbola Formula

GoEccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis Formula

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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. Check FAQs

e = \frac{c}{\sqrt{c^{2} - b^{2}}}

e - Eccentricity of Hyperbola?c - Linear Eccentricity of Hyperbola?b - Semi Conjugate Axis of Hyperbola?

Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Example

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

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

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

2.6 = \frac{13}{\sqrt{13^{2} - 12^{2}}}

2.6m = \frac{13m}{\sqrt{{13m}^{2} - {12m}^{2}}}

2.6 = \frac{13}{\sqrt{13^{2} - 12^{2}}}

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Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Solution

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

FIRST Step Consider the formula

e = \frac{c}{\sqrt{c^{2} - b^{2}}}

Next Step Substitute values of Variables

∴

e = \frac{13m}{\sqrt{{13m}^{2} - {12m}^{2}}}

Next Step Prepare to Evaluate

∴

e = \frac{13}{\sqrt{13^{2} - 12^{2}}}

LAST Step Evaluate

∴

e = 2.6m

Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula Elements

Variables

Functions

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

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

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

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 Eccentricity of Hyperbola

Go Eccentricity of Hyperbola

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

Go Eccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis

e = \frac{c}{a}

Go Eccentricity of Hyperbola given Latus Rectum and Semi Transverse Axis

e = \sqrt{1 + \frac{L}{2 \cdot a}}

Go Eccentricity of Hyperbola given Latus Rectum and Semi Conjugate Axis

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

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

Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis evaluator uses Eccentricity of Hyperbola = Linear Eccentricity of Hyperbola/sqrt(Linear Eccentricity of Hyperbola^2-Semi Conjugate Axis of Hyperbola^2) to evaluate the Eccentricity of Hyperbola, The Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis formula is defined as the ratio of distances of any point on the Hyperbola from focus and the directrix, and is calculated using the linear eccentricity and semi conjugate axis of the Hyperbola. Eccentricity of Hyperbola is denoted by e symbol.

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

FAQs on Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

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

The formula of Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis is expressed as Eccentricity of Hyperbola = Linear Eccentricity of Hyperbola/sqrt(Linear Eccentricity of Hyperbola^2-Semi Conjugate Axis of Hyperbola^2). Here is an example- 2.6 = 13/sqrt(13^2-12^2).

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

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

What are the other ways to Calculate Eccentricity of Hyperbola?

Here are the different ways to Calculate Eccentricity of Hyperbola-

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

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

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

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

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

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Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula

​GoEccentricity of Hyperbola Formula

​GoEccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis Formula

Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Example

Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Solution

Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula Elements

Other Formulas to find Eccentricity of Hyperbola

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

FAQs on Eccentricity of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

Variable Name

GoEccentricity of Hyperbola Formula

GoEccentricity of Hyperbola given Linear Eccentricity and Semi Transverse Axis Formula