ACT Math Practice Question #1467 (Medium (32)) | Test Citadel
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ACT Math Difficulty: Medium (32)

Digital ACT Math Practice Question #1467

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

Which conic section is represented by the equation 4x^2 - 9y^2 + 16x + 54y - 101 = 0?
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Socratic AI Engine Step-by-Step Derivation
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Opposite signs on x^2 and y^2 (+4 and -9) = HYPERBOLA.

Masterclass Solution & Distractor Trap Analysis

In the general second-degree equation Ax^2 + Cy^2 + Dx + Ey + F = 0, the coefficients of x^2 and y^2 are A = 4 and C = -9. Because A and C have opposite signs (AC < 0), the equation represents a hyperbola....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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