1

JEE Advanced 2015 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let $$f, g :$$ $$\left[ { - 1,2} \right] \to R$$ be continuous functions which are twice differentiable on the interval $$(-1, 2)$$. Let the values of f and g at the points $$-1, 0$$ and $$2$$ be as given in the following table:

X = -1 | X = 0 | X = 2 | |
---|---|---|---|

f(x) | 3 | 6 | 0 |

g(x) | 0 | 1 | -1 |

In each of the intervals $$(-1, 0)$$ and $$(0, 2)$$ the function $$(f-3g)''$$ never vanishes. Then the correct statement(s) is (are)

2

JEE Advanced 2013 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

The function $$f(x) = 2\left| x \right| + \left| {x + 2} \right| - \left| {\left| {x + 2} \right| - 2\left| x \right|} \right|$$ has a local minimum or a local maximum at x =

3

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

4

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

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

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