Area under the curveMedium
Question
The value of ′a′ (a > 0 ) for which the area bounded by the curves y = 
, y = 0, x = aand x = 2a has the least value, is -
, y = 0, x = aand x = 2a has the least value, is -Options
A.2
B.√2
C.21/3
D.1
Solution
A = 
Now f(a) =
⇒ f′(a) =
f′(a) = 0 ⇒ a = 1
f″(a) > 0 so at a = 1, f(a) is minimum
Now f(a) =
⇒ f′(a) =
f′(a) = 0 ⇒ a = 1
f″(a) > 0 so at a = 1, f(a) is minimum
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