Q. If $ax^{2} + by^{2} + 2hxy + 2gx + 2fy + c = 0\ (abc + 2fgh - af^{2} - bg^{2} - ch^{2} \neq 0)$ represents an ellipse, if
A) $h^{2} = ab$
B) $h^{2} > ab$
C) $h^{2} < ab$
D) None of these
Explanation
The correct answer is Option C: $h^{2} < ab$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.