Q. Equation $ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0\$ $\left( abc + 2fgh - {af}^{2} - {bg}^{2} - {ch}^{2} \neq 0 \right)$ represents a parabola, if
A) $h^{2} = ab$
B) $h^{2} > ab$
C) $h^{2} < ab$
D) None of these
Explanation
(a)
Equation $ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0$ represents a parabola, if $h^{2} = ab$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.