A) \[-1\]
B) \[1\]
C) \[2\]
D) \[-2\]
Correct Answer: B
Solution :
[b] \[x+y-{{\log }_{e}}(x+y)=2x+5\] \[\Rightarrow \,\,\,\,\,1+y'-\frac{1}{x+y}.\,(1+y')=2\] \[\Rightarrow \,\,(1+y')\,\,(x+y)-(1+y')=2x+2y\] \[\Rightarrow \,\,\,\,\,\,x+y+y'(x+y-1)-1=2x+2y\] \[\Rightarrow \,\,\,\,\,\,y'=\frac{x+y+1}{x+y-1}\] \[\Rightarrow \,\,\,\,\,\,\alpha +\beta =1\]You need to login to perform this action.
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