A) Pair of straight line
B) Ellipse
C) Hyperbola
D) None of these
Correct Answer: A
Solution :
For a pair of straight lines, \[abc+2fgh-a{{f}^{2}}-b{{g}^{2}}-c{{h}^{2}}=0\] \[(3)(2)(2)+2\cdot \left( \frac{5}{2} \right)\,\left( \frac{5}{2} \right)\,\left( \frac{7}{2} \right)-3{{\left( \frac{5}{2} \right)}^{2}}-2{{\left( \frac{5}{2} \right)}^{2}}-2{{\left( \frac{7}{2} \right)}^{2}}=0\]. Hence, given equation represents a pair of straight lines.
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