A) 3
B) 2
C) 8
D) - 8
Correct Answer: B
Solution :
\[abc+2fgh-a{{f}^{2}}-b{{g}^{2}}-c{{h}^{2}}=0\] \[\Rightarrow \lambda (2)(3)+2\left( \frac{-7}{2} \right)\text{ }\left( \frac{5}{2} \right)\text{ }\left( \frac{-5}{2} \right)-\lambda {{\left( \frac{-7}{2} \right)}^{2}}\]\[-2\text{ }{{\left( \frac{5}{2} \right)}^{2}}-3{{\left( \frac{-5}{2} \right)}^{2}}=0\] \[\Rightarrow 6\lambda +\frac{175}{4}-\frac{49}{4}\lambda -\frac{25}{2}-\frac{75}{4}=0\] \[\Rightarrow 25\lambda =50\Rightarrow \lambda =2\].
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