A) 2 : 3
B) 3 : 2
C) 5 : 13
D) 13 : 5
Correct Answer: C
Solution :
[c] \[\frac{a-b}{a+b}=\frac{1}{5}\Rightarrow \,5a-5b=a+b\,\,or\,\,2a\] \[=3\,b\,i.e.\frac{a}{b}=3/2\] \[\therefore \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}=\frac{\frac{{{a}^{2}}}{{{b}^{2}}}-1}{\frac{{{a}^{2}}}{{{b}^{2}}}+1}=\frac{\frac{9}{4}-1}{\frac{9}{4}+1}=\frac{5}{13}\]You need to login to perform this action.
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