Semi Conjugate Axis of Hyperbola Solution

STEP 0: Pre-Calculation Summary
Formula Used
Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2
b = 2b/2
This formula uses 2 Variables
Variables Used
Semi Conjugate Axis of Hyperbola - (Measured in Meter) - 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.
Conjugate Axis of Hyperbola - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Conjugate Axis of Hyperbola: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = 2b/2 --> 25/2
Evaluating ... ...
b = 12.5
STEP 3: Convert Result to Output's Unit
12.5 Meter --> No Conversion Required
FINAL ANSWER
12.5 Meter <-- Semi Conjugate Axis of Hyperbola
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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12 Conjugate Axis of Hyperbola Calculators

Semi Conjugate Axis of Hyperbola given Latus Rectum and Focal Parameter
​ Go Semi Conjugate Axis of Hyperbola = (Latus Rectum of Hyperbola*Focal Parameter of Hyperbola)/sqrt(Latus Rectum of Hyperbola^2-(2*Focal Parameter of Hyperbola)^2)
Semi Conjugate Axis of Hyperbola given Eccentricity and Focal Parameter
​ Go Semi Conjugate Axis of Hyperbola = (Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1))*Focal Parameter of Hyperbola
Semi Conjugate Axis of Hyperbola given Linear Eccentricity
​ Go Semi Conjugate Axis of Hyperbola = sqrt(Linear Eccentricity of Hyperbola^2-Semi Transverse Axis of Hyperbola^2)
Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity
​ Go Semi Conjugate Axis of Hyperbola = Linear Eccentricity of Hyperbola*sqrt(1-1/Eccentricity of Hyperbola^2)
Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity
​ Go Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1))/2
Semi Conjugate Axis of Hyperbola given Eccentricity
​ Go Semi Conjugate Axis of Hyperbola = Semi Transverse Axis of Hyperbola*sqrt(Eccentricity of Hyperbola^2-1)
Semi Conjugate Axis of Hyperbola given Latus Rectum
​ Go Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola*Semi Transverse Axis of Hyperbola)/2)
Semi Conjugate Axis of Hyperbola given Linear Eccentricity and Focal Parameter
​ Go Semi Conjugate Axis of Hyperbola = sqrt(Focal Parameter of Hyperbola*Linear Eccentricity of Hyperbola)
Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity
​ Go Conjugate Axis of Hyperbola = 2*Linear Eccentricity of Hyperbola*sqrt(1-1/Eccentricity of Hyperbola^2)
Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity
​ Go Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1))
Semi Conjugate Axis of Hyperbola
​ Go Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2
Conjugate Axis of Hyperbola
​ Go Conjugate Axis of Hyperbola = 2*Semi Conjugate Axis of Hyperbola

Semi Conjugate Axis of Hyperbola Formula

Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2
b = 2b/2

What is Hyperbola?

A Hyperbola is a type of conic section, which is a geometric figure that results from intersecting a cone with a plane. A Hyperbola is defined as the set of all points in a plane, the difference of whose distances from two fixed points (called the foci) is constant. In other words, a Hyperbola is the locus of points where the difference between the distances to two fixed points is a constant value. The standard form of the equation for a Hyperbola is: (x - h)²/a² - (y - k)²/b² = 1

What is Conjugate Axis of the Hyperbola and how is it calculated?

The conjugate axis of Hyperbola is the line perpendicular to the transverse axis and has the co-vertices as its endpoints. It is calculated by the equation c = 2b where c is the length of the conjugate axis of the Hyperbola and b is the semi conjugate axis of the Hyperbola.

How to Calculate Semi Conjugate Axis of Hyperbola?

Semi Conjugate Axis of Hyperbola calculator uses Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2 to calculate 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 calculate Semi Conjugate Axis of Hyperbola using this online calculator? To use this online calculator for Semi Conjugate Axis of Hyperbola, enter Conjugate Axis of Hyperbola (2b) and hit the calculate button. Here is how the Semi Conjugate Axis of Hyperbola calculation can be explained with given input values -> 12.5 = 25/2.

FAQ

What is 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 and is represented as b = 2b/2 or Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2. 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.
How to calculate 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 is calculated using Semi Conjugate Axis of Hyperbola = Conjugate Axis of Hyperbola/2. To calculate Semi Conjugate Axis of Hyperbola, you need Conjugate Axis of Hyperbola (2b). With our tool, you need to enter the respective value for Conjugate Axis of Hyperbola and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Semi Conjugate Axis of Hyperbola?
In this formula, Semi Conjugate Axis of Hyperbola uses Conjugate Axis of Hyperbola. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola*Semi Transverse Axis of Hyperbola)/2)
  • Semi Conjugate Axis of Hyperbola = sqrt(Linear Eccentricity of Hyperbola^2-Semi Transverse Axis of Hyperbola^2)
  • Semi Conjugate Axis of Hyperbola = (Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1))*Focal Parameter of Hyperbola
  • Semi Conjugate Axis of Hyperbola = sqrt(Focal Parameter of Hyperbola*Linear Eccentricity of Hyperbola)
  • Semi Conjugate Axis of Hyperbola = (Latus Rectum of Hyperbola*Focal Parameter of Hyperbola)/sqrt(Latus Rectum of Hyperbola^2-(2*Focal Parameter of Hyperbola)^2)
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