Prova Resolvida EFOMM(2024 - 2025) - Matemática - Questão 20

JapaMath Courses: Combo Mathematics for AFA/EsPCEx Officers + EFOMM Extension: https://pay.hotmart.com/I87122556D . Mathematics for AFA/EsPCEx Officers: https://pay.hotmart.com/T76099449M . EFOMM Extension: https://pay.hotmart.com/Q86479408Y . Hey guys! How are you? . In this video we will answer question 20 of the EFOMM 2024 - 2025 admission exam. . I hope you like it. . Happy studying! Follow me on social media: Instagram:   / japamath_   Facebook:   / wellington.nishio   Telegram: https://t.me/JapaMath Question 20 Consider the hyperbola 9y2 − 16x2 − 144 = 0 and take point A as its vertex on the positive y-axis and point E as its vertex on the negative y-axis. Take B and D, respectively, as the points with the largest and smallest y-coordinate values ​​at the locus x2 + y2 − 10x + 9 = 0. Take C and F, respectively, as the points with the largest and smallest x-coordinate values ​​at the locus 64x2 + 121y2 − 320x − 1536 = 0. What is the area of ​​the convex polygon ABCDEF? (A) 64 a.u. (B) 1/3 (4√(5−√3) ) a.u. (C) 75/2 √5 a.u. (D) 52 a.u. (E) 128/3 a.u.