1

JEE Advanced 2013 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio $$8:15$$ is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is $$100$$, the resulting box has maximum volume. Then the lengths of the vsides of the rectangular sheet are

2

IIT-JEE 2012 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

If $$f\left( x \right) = \int_0^x {{e^{{t^2}}}} \left( {t - 2} \right)\left( {t - 3} \right)dt$$ for all $$x \in \left( {0,\infty } \right),$$ then

3

IIT-JEE 2009

MCQ (More than One Correct Answer)

+4

-1

For the function
$$$f\left( x \right) = x\cos \,{1 \over x},x \ge 1,$$$

4

IIT-JEE 2006

MCQ (More than One Correct Answer)

+5

-1.25

$$f(x)$$ is cubic polynomial with $$f(2)=18$$ and $$f(1)=-1$$. Also $$f(x)$$ has local maxima at $$x=-1$$ and $$f'(x)$$ has local minima at $$x=0$$, then

Questions Asked from Application of Derivatives (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates
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JEE Advanced 2022 Paper 2 Online (1)
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IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1993 (1)
IIT-JEE 1986 (1)

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