FUVEST 2025 (1ªF - Q.77V1) | Geometria Analítica: Posição Relativa entre Duas Circunferências

In this Analytic Geometry lesson, Professor Wal (Waldemática) solves a fundamental question about the relative position between two circles in the Oxy Cartesian plane. Do you know how to identify if two circles intersect, are tangent, or are external? Let's learn how to transform the general equation of a circle into reduced form, find the centers, calculate the radii, and use the distance between centers to define the relationship between them. Golden tip: Mastering "completing the square" is essential to save time on your math test! 📌 What you will learn in this video: How to find the center and radius of a circle. Difference between the equations $x^2 + y^2 - 4x = -3$ and $x^2 + y^2 - 4y = -3$. How to calculate the distance between two points in the Cartesian plane. Criteria for intersection between circles. Still have questions? Leave them in the comments! 🚀 Become a member of this channel and get benefits:    / @waldematica   Statement of the Question: Regarding the Cartesian plane Oxy, it is correct to state that the equations x² + y² - 4x = -3 and x² + y² - 4y = -3 represent: (A) two circles with radii of the same measure that intersect at two points. (B) two circles with radii of different measures that intersect at two points. (C) two circles that intersect at a single point. (D) two concentric circles that do not intersect. (E) two circles with distinct centers that do not intersect. Answer Key: E ✔Waldemática Vestibulares Platform https://waldematica.com.br/ ✔Facebook Page ➠  / waldematica   ✔Instagram ➠  / waldematica   ✔CONTACT ➠[email protected] #mathematics #analyticalgeometry #circumference #enem2026 #vestibular #concursos #mathematicsclass #waldematica #resolution #studies #fuvest