A) \[xy=3\]
B) \[x+y=4\]
C) \[x+3y=6\]
D) \[{{x}^{2}}y=9\]
Correct Answer: A
Solution :
The equation of stream line is: \[\frac{dx}{u}=\frac{dy}{v}\] \[\frac{dx}{ax}=\frac{dy}{-\,av}\] \[\frac{1}{a}\,In\,x=-\,\,\frac{1}{a}\,In\,\,\,y+c\] The stream line passes through point (3, 1) \[\frac{1}{a}\,In\,3=-\,\frac{1}{a}\,In+c=0+c\] \[c=\frac{1}{a}\,In\,3\] \[\frac{1}{a}\,In\,x=-\,\frac{1}{a}\,In\,y+\frac{1}{a}\,In\,3\] Or \[In\,x=-\,\,In\,y+In\,3\] \[In\,x+In\,y=In\,3\] \[In\,xy=In\,3\] \[xy=3\]
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