A) \[hl+km+n={{a}^{2}}({{l}^{2}}+{{m}^{2}})\]
B) \[{{(hl+km+n)}^{2}}=a({{l}^{2}}+{{m}^{2}})\]
C) \[{{(hl+km+n)}^{2}}={{a}^{2}}({{l}^{2}}+{{m}^{2}})\]
D) None of these
Correct Answer: C
Solution :
According to the condition, \[a=\frac{hl+mk+n}{\sqrt{{{l}^{2}}+{{m}^{2}}}}\] \[\Rightarrow {{(hl+km+n)}^{2}}={{a}^{2}}({{l}^{2}}+{{m}^{2}})\].
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