A) \[5{{h}^{2}}=ab\]
B) \[5{{h}^{2}}=9ab\]
C) \[9{{h}^{2}}=5ab\]
D) \[{{h}^{2}}=ab\]
Correct Answer: B
Solution :
Given \[{{m}_{2}}=5{{m}_{1}}\,\,\Rightarrow \,\,{{m}_{1}}+5{{m}_{1}}=\frac{-2h}{b}\] Þ \[{{m}_{1}}=\frac{-2h}{6b}\] ?..(i) and \[{{m}_{1}}.5{{m}_{1}}=\frac{a}{b}\,\Rightarrow \,{{m}_{1}}=\sqrt{\frac{a}{5b}}\] ?..(ii) From (i) and (ii),\[\frac{-2h}{6b}=\sqrt{\frac{a}{5b}}\]Þ \[\frac{4{{h}^{2}}}{36{{b}^{2}}}=\frac{a}{5b}\]Þ \[9ab=5{{h}^{2}}\].
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