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Grade: 12
        
Show that the line x/a + y/b =1 touches the curve y=b e^-x/a at the point where the curve cuts the y axis.
4 years ago

Answers : (1)

bharat bajaj
IIT Delhi
askIITians Faculty
122 Points
							The slope of tangent at any point (x,y) for the curve is :
dy/dx = -b/a e^(-x/a)
The slope of line : -b/a
If the line touches the curve,
-b/a = -b/a e^(-x/a)
or x = 0
Hence, proved
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi
4 years ago
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