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Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula

GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula

GoSemi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula

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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. Check FAQs

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

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

Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Example

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

10.6066 = \frac{\sqrt{\frac{{(60)}^{2}}{3^{2} - 1}}}{2}

10.6066m = \frac{\sqrt{\frac{{(60m)}^{2}}{{3m}^{2} - 1}}}{2}

10.6066 = \frac{\sqrt{\frac{{(60)}^{2}}{3^{2} - 1}}}{2}

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Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

b = 10.6066017177982m

LAST Step Rounding Answer

∴

b = 10.6066m

Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula Elements

Variables

Functions

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

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 Semi Conjugate Axis of Hyperbola

Go Semi Conjugate Axis of Hyperbola given Eccentricity

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

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}

Go Semi Conjugate Axis of Hyperbola given Latus Rectum

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

Other formulas in Conjugate Axis of Hyperbola category

Go Conjugate Axis of Hyperbola

2b = 2 \cdot b

Go Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity

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

Go Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity

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

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

Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity evaluator uses Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1))/2 to evaluate the Semi Conjugate Axis of Hyperbola, The Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity formula is defined as 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, and is calculated using the eccentricity and the latus rectum of the Hyperbola. Semi Conjugate Axis of Hyperbola is denoted by b symbol.

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

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

The formula of Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity is expressed as Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1))/2. Here is an example- 10.6066 = sqrt((60)^2/(3^2-1))/2.

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

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

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

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

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

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

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

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

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

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Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula

​GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula

​GoSemi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula

Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Example

Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Solution

Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity Formula Elements

Other Formulas to find Semi Conjugate Axis of Hyperbola

Other formulas in Conjugate Axis of Hyperbola category

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

FAQs on Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity

Variable Name

GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula

GoSemi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula