1

AIEEE 2011

MCQ (Single Correct Answer)

+4

-1

For $$x \in \left( {0,{{5\pi } \over 2}} \right),$$ define $$f\left( x \right) = \int\limits_0^x {\sqrt t \sin t\,dt.} $$ Then $$f$$ has

2

AIEEE 2011

MCQ (Single Correct Answer)

+4

-1

The shortest distance between line $$y-x=1$$ and curve $$x = {y^2}$$ is

3

AIEEE 2010

MCQ (Single Correct Answer)

+4

-1

Let $$f:R \to R$$ be defined by
$$$f\left( x \right) = \left\{ {\matrix{
{k - 2x,\,\,if} & {x \le - 1} \cr
{2x + 3,\,\,if} & {x > - 1} \cr
} } \right.$$$

If $$f$$has a local minimum at $$x=-1$$, then a possible value of $$k$$ is

4

AIEEE 2010

MCQ (Single Correct Answer)

+4

-1

The equation of the tangent to the curve $$y = x + {4 \over {{x^2}}}$$, that

is parallel to the $$x$$-axis, is

is parallel to the $$x$$-axis, is

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

Number in Brackets after Paper Indicates
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