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Hipérbole com eixo real paralelo ao eixo Oy

Elementos de uma hipérbole

Elementos de uma hipérbole

[size=200]A equação da hipérbole quando paralela ao eixo Oy é dada por:
[/size][img]data:image/png;base64,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[/img]
A equação da hipérbole quando paralela ao eixo Oy é dada por:

(IDECAN). Dados dois pares ordenados (2,-4) e (2,0) que representam os vértices de um hipérbole de foco (2, -2 + √13), calcule a equação da hipérbole que satisfaça as condições dadas.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Auxílio gráfico para questão anterior

Determinar as coordenadas dos focos, do centro e dos vértices da hipérbole dada pela equação: 9x²-4y²-54x+8y+113=0

Use o recurso gráfico do Geogebra caso precise para questão anterior

Acompanhe agora a resolução comentada de cada um dos exercícios propostos