M02 FUVEST 𝘚𝘦𝘨𝘶𝘯𝘥𝘢 𝘍𝘢𝘴𝘦 Matemática 2021 (Geometria Analítica) um problema de dar dor nas costas :(
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*1 Tópicos teóricos abordados*
• Coeficiente angular de retas
• Equação da circunferência que passa por três pontos
• Equação da reta tangente a uma circunferência
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*2 Enunciado* M02 FUVEST 𝘚𝘦𝘨𝘶𝘯𝘥𝘢 𝘍𝘢𝘴𝘦 Matemática 2021 (Geometria Analítica)
São dados os pontos no plano cartesiano 𝑃₁ = (3; 3), 𝑃₂= (5; 1), 𝑃₃ = (3; −1) e 𝑃₄ = (−2; 5).
a) Determine a equação da reta que passa por 𝑃₃ e é paralela à reta que passa por 𝑃₁ e 𝑃₄.
b) Determine a equação da circunferência que passa pelos pontos 𝑃₁, 𝑃₂ e 𝑃₃.
c) Sendo 𝐶 a circunferência do item (b) e 𝑃 o ponto de intersecção de 𝐶 com o eixo 𝑂𝑥, que está mais próximo da origem, determine a equação da reta tangente a 𝐶 em 𝑃.
_Caso você tenha resolvido o problema por um caminho alternativo, não deixe de comentá-lo para assim enriquecermos a discussão_
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*3 Sugestão de problemas*
Envie uma sugestão de problema e eu a resolverei em vídeo – https://bit.ly/QED_forms
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*5 Livros sobre finanças*
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*Informações do vídeo*
*Música* – Serenity - Patterns
0:00 item a)
3:50 item b)
9:00 item c)
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