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Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula

GoConjugate Axis of Hyperbola Formula

GoConjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula

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Conjugate Axis of Hyperbola is the line through the center and perpendicular to transverse axis with length of the chord of the circle passing through the foci and touches the Hyperbola at vertex. Check FAQs

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

2b - Conjugate Axis of Hyperbola?L - Latus Rectum of Hyperbola?e - Eccentricity of Hyperbola?

Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Example

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

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

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

21.2132 = \sqrt{\frac{{(60)}^{2}}{3^{2} - 1}}

21.2132m = \sqrt{\frac{{(60m)}^{2}}{{3m}^{2} - 1}}

21.2132 = \sqrt{\frac{{(60)}^{2}}{3^{2} - 1}}

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Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

2b = \sqrt{\frac{{(60m)}^{2}}{{3m}^{2} - 1}}

Next Step Prepare to Evaluate

∴

2b = \sqrt{\frac{{(60)}^{2}}{3^{2} - 1}}

Next Step Evaluate

∴

2b = 21.2132034355964m

LAST Step Rounding Answer

∴

2b = 21.2132m

Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula Elements

Variables

Functions

Conjugate Axis of Hyperbola

Conjugate Axis of Hyperbola is the line through the center and perpendicular to transverse axis with length of the chord of the circle passing through the foci and touches the Hyperbola at vertex.

Symbol: 2b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Conjugate 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

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 Conjugate Axis of Hyperbola

Go Conjugate Axis of Hyperbola

2b = 2 \cdot b

Go Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity

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

Other formulas in Conjugate Axis of Hyperbola category

Go Semi Conjugate Axis of Hyperbola given Eccentricity

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

Go Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity

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

Go Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity

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

Go Semi Conjugate Axis of Hyperbola

b = \frac{2b}{2}

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

Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity evaluator uses Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1)) to evaluate the Conjugate Axis of Hyperbola, The Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity formula is defined as the line through the center and perpendicular to transverse axis with length of the chord of the circle passing through the foci and touches the Hyperbola at vertex, and is calculated using the latus rectum and eccentricity of the Hyperbola. Conjugate Axis of Hyperbola is denoted by 2b symbol.

How to evaluate Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity using this online evaluator? To use this online evaluator for Conjugate 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 Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity

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

The formula of Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity is expressed as Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1)). Here is an example- 21.2132 = sqrt((60)^2/(3^2-1)).

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

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

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

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

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

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

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

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

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

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Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula

​GoConjugate Axis of Hyperbola Formula

​GoConjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula

Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Example

Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Solution

Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula Elements

Other Formulas to find Conjugate Axis of Hyperbola

Other formulas in Conjugate Axis of Hyperbola category

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

FAQs on Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity

Variable Name

GoConjugate Axis of Hyperbola Formula

GoConjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula