question_answer

If is an operation such that when a > 0, b > Cfor all other values of a and b. The value ofis

A) \[\frac{1}{5}\]              

B)  \[\frac{4}{5}\]

C) \[\frac{6}{5}\]                

D)  \[\frac{2}{5}\]

Correct Answer: C

Solution :

 Given\[a\]\[b=a+b\]when\[a>0,\,\,b>0\]. , for other values of\[a\]and\[b\] values of a and b Expression,             \[=\frac{\sqrt{{{(8)}^{2}}+{{(-6)}^{2}}}-4}{\sqrt{{{(-3)}^{2}}+{{(-4)}^{2}}}}\]             \[=\frac{\sqrt{64+36}-4}{\sqrt{9+16}}\]             \[=\frac{\sqrt{100}-4}{\sqrt{25}}=\frac{10-4}{5}=\frac{6}{5}\]