Question about Analytic Geometry: Equation of the Circle
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Analytic Geometry: Equation of the Circle
Analytic Geometry: Equation of the Circle
Difficulty Easy
Easy
(Originais Teachy 2023) - Question Easy of Mathematics
Consider that a group of 3rd year high school students are studying Analytical Geometry and want to calculate the equation of the circle that passes through the point (2, -1) and has its center at the point (5, 2). To determine the equation of the circle, it is necessary to use the concepts of distance between two points and the relationship between the center and any point on the circle. Based on this knowledge, how can the students determine the equation of the circle with center at (5, 2) that passes through the point (2, -1)?a.
(x - 5)^2 + (y - 2)^2 = 18
b.
(x - 5)^2 + (y - 2)^2 = 9
c.
(x - 2)^2 + (y + 1)^2 = 18
d.
(x - 5)^2 + (y - 2)^2 = 36
e.
(x + 5)^2 + (y - 2)^2 = 18
Answer sheet:
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Answer sheet
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