A) \[\frac{m\left( a-b \right)}{a}\]
B) \[\frac{ab-ma}{m}\]
C) \[\frac{1}{1+1}\]
D) \[\frac{ma}{m+a}\]
Correct Answer: D
Solution :
\[m=\frac{ab}{a-b}\Rightarrow \frac{1}{m}=\frac{a-b}{ab}\Rightarrow \frac{1}{m}=\frac{1}{b}-\frac{1}{a}\Rightarrow \frac{1}{b}=\frac{1}{m}+\frac{1}{a}\]\[\Rightarrow \]\[\frac{1}{b}=\frac{a+m}{ma}\] \[\Rightarrow b=\frac{ma}{m+a}\]
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