A) A parabola
B) An ellipse
C) A hyperbola
D) A circle
Correct Answer: A
Solution :
\[\Delta =(1)\,(1)\,(2)+2\,\left( \frac{3}{2} \right)\,(0)(-1)-(1)\,{{(0)}^{2}}-\]\[(1)\,{{\left( \frac{3}{2} \right)}^{2}}-2{{(-1)}^{2}}\] \[=2-\frac{9}{4}-2<0\] and \[{{h}^{2}}-ab=1-1=0\]. i.e., \[{{h}^{2}}=ab\] Þ a parabola.
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