A) \[p=12,q=1\]
B) \[p=1,q=12\]
C) \[p=-1,q=12\]
D) \[p=1,q=-12\]
Correct Answer: A
Solution :
\[\because \] The given equation represents a pair of straight lines therefore, \[-72p-\frac{63}{2}q-3{{q}^{2}}+81p-\frac{147}{2}=0\] .....(i) Also, since given equation represents perpendicular lines \ \[12-p=0\Rightarrow p=12\]. \ from (i), \[2{{q}^{2}}+21q-23=0\,\,\,\Rightarrow \,\,q=1\].
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