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Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula

GoSemi Latus Rectum of Hyperbola Formula

GoSemi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula

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Semi Latus Rectum of Hyperbola is half of the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola. Check FAQs

L Semi = a \cdot (e^{2} - 1)

L_Semi - Semi Latus Rectum of Hyperbola?a - Semi Transverse Axis of Hyperbola?e - Eccentricity of Hyperbola?

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Example

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

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

40 = 5 \cdot (3^{2} - 1)

40m = 5m \cdot ({3m}^{2} - 1)

40 = 5 \cdot (3^{2} - 1)

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Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Solution

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

FIRST Step Consider the formula

L Semi = a \cdot (e^{2} - 1)

Next Step Substitute values of Variables

∴

L Semi = 5m \cdot ({3m}^{2} - 1)

Next Step Prepare to Evaluate

∴

L Semi = 5 \cdot (3^{2} - 1)

LAST Step Evaluate

∴

L Semi = 40m

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

Variables

Semi Latus Rectum of Hyperbola

Semi Latus Rectum of Hyperbola is half of the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola.

Symbol: L_Semi

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Latus Rectum 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

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 Semi Latus Rectum of Hyperbola

Go Semi Latus Rectum of Hyperbola

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

Go Semi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

L Semi = \frac{\sqrt{\frac{{(2 \cdot b^{2})}^{2}}{c^{2} - b^{2}}}}{2}

Go Semi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis

L Semi = a \cdot ({(\frac{c}{a})}^{2} - 1)

Go Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis

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

Other formulas in Latus Rectum of Hyperbola category

Go Latus Rectum of Hyperbola

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

Go Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis

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

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 Transverse Axis

L = 2 \cdot a \cdot ({(\frac{c}{a})}^{2} - 1)

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

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis evaluator uses Semi Latus Rectum of Hyperbola = Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1) to evaluate the Semi Latus Rectum of Hyperbola, The Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis formula is defined as half of the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola and is calculated using the eccentricity and semi-transverse axis of the Hyperbola. Semi Latus Rectum of Hyperbola is denoted by L_Semi symbol.

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

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

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

The formula of Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis is expressed as Semi Latus Rectum of Hyperbola = Semi Transverse Axis of Hyperbola*(Eccentricity of Hyperbola^2-1). Here is an example- 40 = 5*(3^2-1).

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

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

What are the other ways to Calculate Semi Latus Rectum of Hyperbola?

Here are the different ways to Calculate Semi Latus Rectum of Hyperbola-

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

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

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

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

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

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Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Formula

​GoSemi Latus Rectum of Hyperbola Formula

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

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Example

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis Solution

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

Other Formulas to find Semi Latus Rectum of Hyperbola

Other formulas in Latus Rectum of Hyperbola category

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

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

Variable Name

GoSemi Latus Rectum of Hyperbola Formula

GoSemi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula