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The General Equation of Conic Sections

Question 4 • Precalculus

A = 0.5, C = –2, Conic Type:

Answer
A
Circle
B
Ellipse
C
Hyperbola
D
Parabola

Explanation

For a conic with no xy-term, the signs of the x² and y² coefficients determine the type. Here A = 0.5 is positive and C = −2 is negative, so the quadratic terms have opposite signs, which indicates a hyperbola. The correct choice is Hyperbola.

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