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Semi Conjugate Axis of Hyperbola Formula

GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula

GoSemi Conjugate Axis of Hyperbola given Latus Rectum and 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{2b}{2}

b - Semi Conjugate Axis of Hyperbola?2b - Conjugate Axis of Hyperbola?

Semi Conjugate Axis of Hyperbola Example

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Here is how the Semi Conjugate Axis of Hyperbola equation looks like with Values.

Here is how the Semi Conjugate Axis of Hyperbola equation looks like with Units.

Here is how the Semi Conjugate Axis of Hyperbola equation looks like.

12.5 = \frac{25}{2}

12.5m = \frac{25m}{2}

12.5 = \frac{25}{2}

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Semi Conjugate Axis of Hyperbola Solution

Follow our step by step solution on how to calculate Semi Conjugate Axis of Hyperbola?

FIRST Step Consider the formula

b = \frac{2b}{2}

Next Step Substitute values of Variables

∴

b = \frac{25m}{2}

Next Step Prepare to Evaluate

∴

b = \frac{25}{2}

LAST Step Evaluate

∴

b = 12.5m

Semi Conjugate Axis of Hyperbola Formula Elements

Variables

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

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

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 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 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?

Semi Conjugate Axis of Hyperbola evaluator uses Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2 to evaluate the Semi Conjugate Axis of Hyperbola, The Semi Conjugate Axis of Hyperbola 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. Semi Conjugate Axis of Hyperbola is denoted by b symbol.

How to evaluate Semi Conjugate Axis of Hyperbola using this online evaluator? To use this online evaluator for Semi Conjugate Axis of Hyperbola, enter Conjugate Axis of Hyperbola (2b) and hit the calculate button.

FAQs on Semi Conjugate Axis of Hyperbola

What is the formula to find Semi Conjugate Axis of Hyperbola?

The formula of Semi Conjugate Axis of Hyperbola is expressed as Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2. Here is an example- 12.5 = 25/2.

How to calculate Semi Conjugate Axis of Hyperbola?

With Conjugate Axis of Hyperbola (2b) we can find Semi Conjugate Axis of Hyperbola using the formula - Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2.

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

Can the Semi Conjugate Axis of Hyperbola be negative?

No, the Semi Conjugate Axis of Hyperbola, measured in Length cannot be negative.

Which unit is used to measure Semi Conjugate Axis of Hyperbola?

Semi Conjugate Axis of Hyperbola 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 can be measured.

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