6
QuizMultiple Choice

The General Equation of Conic Sections

Question 6 • Precalculus

Which conic section is represented by the following equation?9x2 – 5x – 3y2 – 2y + 4 = 0

Answer
A
circle
B
ellipse
C
parabola
D
hyperbola

Explanation

The squared terms are 9x² and −3y², so their coefficients have opposite signs. A conic with squared-variable terms of opposite signs is a hyperbola. Therefore, the equation represents a hyperbola.

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