A) \[2:3\]
B) \[1:4\]
C) \[1:2\]
D) \[3:4\]
Correct Answer: B
Solution :
\[G=\sqrt{ab};\,\,M=\left( \frac{\frac{1}{a}+\frac{1}{b}}{2} \right)\Rightarrow \,\frac{1}{M}=\,\left( \frac{2}{\frac{1}{a}+\frac{1}{b}} \right)\] Now, \[\frac{1}{M}\div G=4:5\] \[\Rightarrow \,\,\sqrt{\frac{a}{b}}+\frac{b}{a}\,=\frac{5}{2}\] \[\Rightarrow \,\,\sqrt{\frac{a}{b}}\,=\frac{2}{1}\,\,or\,\,\frac{1}{2}\] \[\Rightarrow \,\,\,a:b=4\,:1\,\,\,or\,\,1:4\]You need to login to perform this action.
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