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Choose the appropriate description for the equation.

Given: x^2 + y^2 = 0

Choose the appropriate description for the equation. Given: x^2 + y^2 = 0-example-1

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Answer:

Point-circle

Explanation:

The equation x^2 + y^2 = 0 represents a point circle.

To see why, note that any point (x, y) that satisfies this equation must have x^2 = 0 and y^2 = 0, since the sum of two non-negative numbers is zero only when both are zero. This implies that x = 0 and y = 0, so the only point that satisfies the equation is the origin (0, 0).

Therefore, the equation x^2 + y^2 = 0 represents a circle with radius zero, which is a point circle at the origin. The appropriate description for the equation is a point circle.

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