Find the center of the hyperbola represented by the equation 9x² - 4y² + 36x + 8y - 4 = 0.

✓ Correct Answer: Option B

Group terms and complete the square: 9(x² + 4x) - 4(y² - 2y) = 4. 9(x² + 4x + 4) - 4(y² - 2y + 1) = 4 + 36 - 4. This simplifies to 9(x+2)² - 4(y-1)² = 36. Divide by 36: (x+2)²/4 - (y-1)²/9 = 1. The center is (-2, 1).