A) \[\frac{a}{b}\]
B) \[\sqrt{\frac{a}{b}}\]
C) \[ab\]
D) \[\sqrt{ab}\]
Correct Answer: D
Solution :
From \[\Delta \,\,AOT,\] \[h=a\,\,\tan \,{{30}^{o}}\] From \[\Delta \,BOT,\] \[h=b\,\tan {{60}^{o}}\] \[\therefore \] \[{{h}^{2}}=ab\,\,\tan {{30}^{o}}\tan {{60}^{o}}\] \[=ab\,\frac{1}{\sqrt{3}}.\sqrt{3}\] or \[h=\sqrt{ab}\]You need to login to perform this action.
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