The equation $3x^2 + 10xy + 11y^2 + 14x + 12y + 5 = 0$ represents
- A. a circle
- B. an ellipse
- C. a hyperbola
- D. a parabola
✅ Correct Answer: an ellipse
Explanation
Comparing with general second degree equation $a = 3$, $2h = 10$, $b = 11$ $h^2 - ab = 25 - 33 = -8$ Since $h^2 - ab < 0$ The equation represents an ellipse
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