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FORMAS ORDINARIA Y GENERAL DE LA ECUACIÓN DE LA ELIPSE CON CENTRO FUERA DEL ORIGEN Y EJE FOCAL PARALELO A ALGUNO DE LOS EJES COORDENADOS

Las ecuaciones de la elipse con centro fuera del origen y su eje focal paralelo a alguno de los ejes coordenados son:

ELIPSE HORIZONTAL CON CENTRO EN (h, k)


COORDENADAS DE LOS ELEMENTOS DE LA ELIPSE CON CENTRO FUERA DEL ORIGEN

Eje focal paralelo a eje x

Vértices: V1(h+a, k) V2(h-c, k)

Focos: F1(h+c, k) F2(h-c, k)

Extremos del eje menor:

B1(h, k+b) B2(h, k-b)

ELIPSE VERTICAL CON CENTRO EN (h, k)


COORDENADAS DE LOS ELEMENTOS DE LA ELIPSE CON CENTRO FUERA DEL ORIGEN

Eje focal paralelo a eje y

Vértices: V1(h, k+a) V2(h, k-a)

Focos: F1(h, k+c) F2(h, k-c)

Extremos del eje menor:

B1(h+b, k) B2(h-b, k)

ECUACIÓN GENERAL DE LA ELIPSE CON CENTRO FUERA DEL ORIGEN:


Ejemplos de la ecuación de la elipse fuera del origen:

1.- Determina los vértices y los focos de la elipse:

         Tenemos que el centro es: (-4, 7), a = 9 y b = 4

         Debido a que es una elipse horizontal los vértices están en:

         (-13, 7) y (5, 7)

         Utilizando la relación de sus parámetros tenemos que:

         Por lo que sus focos son:

Mas ejemplos, ejercicios y preguntas clave de examen, en nuestras guías digitales.

error: Contenido Protegido !!
Curso para la UNAM

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