Programa para hallar Longitud de Latus Rectum de una Elipse

Dados dos números enteros A y B, que representan la longitud del eje semi-mayor y semi-menor de una Elipse con ecuación general (x ² / A ² ) + (y ² / B ² ) = 1 , la tarea es encontrar la longitud del latus rectum de la elipse

Ejemplos:

Entrada: A = 3, B = 2
Salida: 2.66666

Entrada: A = 6, B = 3
Salida: 3

Enfoque: El problema dado se puede resolver con base en las siguientes observaciones: 

• El Latus Rectum de una Elipse es la cuerda focal perpendicular al eje mayor cuya longitud es igual a:
  

Elipse

• La longitud del eje mayor es  2A.
• La longitud del eje menor es  2B.
• Por lo tanto, la longitud del latus rectum es:
   

Siga los pasos a continuación para resolver el problema dado:

• Inicialice dos variables, digamos mayor y menor, para almacenar la longitud del eje mayor (= 2A ) y la longitud del eje menor (= 2B ) de la Elipse respectivamente.
• Calcula el cuadrado de menor y divídelo con mayor. Almacene el resultado en una variable doble, digamos latus_rectum .
• Imprime el valor de latus_rectum como resultado final. 

A continuación se muestra la implementación del enfoque anterior:

// C++ program for the above approach
#include <iostream>
using namespace std;
 
// Function to calculate the length
// of the latus rectum of an ellipse
double lengthOfLatusRectum(double A,
                           double B)
{
    // Length of major axis
    double major = 2.0 * A;
   
    // Length of minor axis
    double minor = 2.0 * B;
   
    // Length of the latus rectum
    double latus_rectum = (minor*minor)/major;
   
    return latus_rectum;
}
 
// Driver Code
int main()
{
    // Given lengths of semi-major
  // and semi-minor axis
    double A = 3.0, B = 2.0;
   
    // Function call to calculate length
    // of the latus rectum of a ellipse
    cout << lengthOfLatusRectum(A, B);
    return 0;
}

// Java program for the above approach
import java.util.*;
 
class GFG{
 
// Function to calculate the length
// of the latus rectum of an ellipse
static double lengthOfLatusRectum(double A,
                                  double B)
{
     
    // Length of major axis
    double major = 2.0 * A;
     
    // Length of minor axis
    double minor = 2.0 * B;
     
    // Length of the latus rectum
    double latus_rectum = (minor * minor) / major;
     
    return latus_rectum;
}
 
// Driver code
public static void main(String[] args)
{
     
    // Given lengths of semi-major
    // and semi-minor axis
    double A = 3.0, B = 2.0;
 
    // Function call to calculate length
    // of the latus rectum of a ellipse
    System.out.print(lengthOfLatusRectum(A, B));
}
}
 
// This code is contributed by susmitakundugoaldanga

# Python3 program for the above approach
 
# Function to calculate the length
# of the latus rectum of an ellipse
def lengthOfLatusRectum(A, B):
   
    # Length of major axis
    major = 2.0 * A
 
    # Length of minor axis
    minor = 2.0 * B
 
    # Length of the latus rectum
    latus_rectum = (minor*minor)/major
    return latus_rectum
 
# Driver Code
if __name__ == "__main__":
 
    # Given lengths of semi-major
        # and semi-minor axis
    A = 3.0
    B = 2.0
 
    # Function call to calculate length
    # of the latus rectum of a ellipse
    print('%.5f' % lengthOfLatusRectum(A, B))
 
    # This code is contributed by ukasp.

// C# program for the above approach
using System;
 
class GFG
{
 
  // Function to calculate the length
  // of the latus rectum of an ellipse
  static double lengthOfLatusRectum(double A,
                                    double B)
  {
    // Length of major axis
    double major = 2.0 * A;
 
    // Length of minor axis
    double minor = 2.0 * B;
 
    // Length of the latus rectum
    double latus_rectum = (minor*minor)/major;
 
    return latus_rectum;
  }
 
  // Driver Code
  public static void Main()
  {
 
    // Given lengths of semi-major
    // and semi-minor axis
    double A = 3.0, B = 2.0;
 
    // Function call to calculate length
    // of the latus rectum of a ellipse
    Console.WriteLine(lengthOfLatusRectum(A, B));
  }
}
 
// This code is contributed by souravghosh0416.

<script>
 
// Javascript program for the above approach
 
// Function to calculate the length
// of the latus rectum of an ellipse
function lengthOfLatusRectum(A, B)
{
     
    // Length of major axis
    var major = 2.0 * A;
     
    // Length of minor axis
    var minor = 2.0 * B;
     
    // Length of the latus rectum
    var latus_rectum = (minor * minor) / major;
     
    return latus_rectum;
}
 
// Driver code
 
// Given lengths of semi-major
// and semi-minor axis
var A = 3.0, B = 2.0;
 
document.write(lengthOfLatusRectum(A, B));
 
// This code is contributed by Ankita saini
    
</script>

2.66667

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