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What is a circle?

• A circle is a figure with corners and edges.
• A circle is a polygon with three sides.
• A circle is a type of triangle.
• A circle is a straight line connecting two points.
• A circle is a set of points equidistant from a center point in a plane.

In the context of a circle, what are the "certain point" and the "distance" referred to in its definition?

• Center (P) and radius (R).

• Vertex (V) and directrix (D).

• Focus (F) and eccentricity (e).

• Origin (O) and diameter (D).

What is the equation of a circle centered at the origin (0,0) with radius R?

• x^2 + y^2 = R^2

• (x - a)^2 + (y - b)^2 = R^2

• x + y = R

• x^2 - y^2 = R^2

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What is the equation of a circle centered at the origin (0,0) with radius R?

• x² + y² = R²

• (x-a)² + (y-b)² = R²

• x² + y² + Ax + By + C = 0

• x + y = R

For a circle with the general equation x² + y² + Ax + By + C = 0, what are the coordinates of its center?

• (A, B)

• (-A, -B)

• (1/2 A, 1/2 B)

• (-1/2 A, -1/2 B)