Application of DerivativeHard
Question
The line x/a + y/b = 1 touches the curve y = be-x/a at the point-
Options
A.(0, a)
B.(0 , 0)
C.(0, b)
D.(b , 0)
Solution
= 1 to touches the curve y = b e-x/a
= b × e-x/a × - 
e-x/a m = -
so -
= -
e-x/ae-x/a = 1
x = 0
y = b
point (0, b)
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