IIT-JEE 2009 Paper 1 Offline | Definite Integrals and Applications of Integrals Question 67 | Mathematics | JEE Advanced - ExamSIDE.com

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1

IIT-JEE 2009 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Area of the region bounded by the curve $$y = {e^x}$$ and lines $$x=0$$ and $$y=e$$ is

A

$$e-1$$

B

$$\int\limits_1^e {\ln \left( {e + 1 - y} \right)dy} $$

C

$$e - \int\limits_0^1 {{e^x}dx} $$

D

$$\int\limits_1^e {\ln y\,dy} $$

2

IIT-JEE 1999

MCQ (More than One Correct Answer)

+3

-0.75

For which of the following values of $$m$$, is the area of the region bounded by the curve $$y = x - {x^2}$$ and the line $$y=mx$$ equals $$9/2$$?

A

$$-4$$

B

$$-2$$

C

$$2$$

D

$$4$$

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