Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. -2x² + -2y²= -20 A) Circle B) Ellipse C) Hyperbola D) None of these

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Quizplus · Accepted Answer

The equation can be written in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center of the circle and r is the radius. Dividing both sides by -20, we get: x^2 + y^2 = (1/10)(²) This is in the standard form of a circle, with center (0,0) and radius equal to the square root of (1/10)(²). Therefore, the equation is that of a circle.

Classify the Equation as That of a Circle, Ellipse, Hyperbola