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
Given the equation of the circle (x - 3)^2 + (y + 4)^2 = 25, identify the center and the radius of the circle. Then, consider a point P(x, y) located on the circle and determine if P is in the interior, on the boundary, or in the exterior of the circle. Use the point's information to check if the provided coordinates correspond to a real solution of the circle equation.a.
The center of the circle is (3, 4) and the radius is 25. The coordinates (x, y) provided are real solutions of the circle equation and point P is outside the circle.
b.
The center of the circle is (3, -4) and the radius is 5. The coordinates (x, y) provided are real solutions of the circle equation and point P is on the boundary of the circle.
c.
The center of the circle is (3, -4) and the radius is 5. The coordinates (x, y) provided are real solutions of the circle equation and point P is outside the circle.
d.
The center of the circle is (3, -4) and the radius is 5. The coordinates (x, y) provided are real solutions of the circle equation and point P is inside the circle.
e.
The center of the circle is (3, -4) and the radius is 5. The coordinates (x, y) provided are not real solutions of the circle equation and point P is inside the circle.
Answer sheet:
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Answer sheet
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