4
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Determinants

Question 4 • Precalculus

A = 0.5, C = –2, Conic Type:

Answer
A
Circle
B
Ellipse
C
Hyperbola
D
Parabola

Explanation

In the standard conic equation, the signs of the coefficients of x² and y² determine the conic type when there is no xy term. Here A = 0.5 is positive and C = −2 is negative, so the squared terms have opposite signs. That gives a hyperbola, choice C.

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