If $$f(x)$$ is differentiable and $$\int\limits_0^{{t^2}} {xf\left( x \right)dx = {2 \over 5}{t^5},} $$ then $$f\left( {{4 \over {25}}} \right)$$ equals
A
$$2/5$$
B
$$-5/2$$
C
$$1$$
D
$$5/2$$
4
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
The area enclosed between the curves $$y = a{x^2}$$ and
$$x = a{y^2}\left( {a > 0} \right)$$ is $$1$$ sq. unit, then the value of $$a$$ is
A
$$1/\sqrt 3 $$
B
$$1/2$$
C
$$1$$
D
$$1/3$$
Questions Asked from Definite Integrals and Applications of Integrals
On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
