NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...
1

IIT-JEE 2004 Screening

MCQ (Single Correct Answer)
If $$f\left( x \right) = {x^a}\log x$$ and $$f\left( 0 \right) = 0,$$ then the value of $$\alpha $$ for which Rolle's theorem can be applied in $$\left[ {0,1} \right]$$ is
A
$$-2$$
B
$$-1$$
C
$$0$$
D
$$1/2$$
2

IIT-JEE 2004 Screening

MCQ (Single Correct Answer)
If $$f\left( x \right) = {x^3} + b{x^2} + cx + d$$ and $$0 < {b^2} < c,$$ then in $$\left( { - \infty ,\infty } \right)$$
A
$$f\left( x \right)$$ is a strictly increasing function
B
$$f\left( x \right)$$ has a local maxima
C
$$f\left( x \right)$$ is a strictly decreasing function
D
$$f\left( x \right)$$ is bounded
3

IIT-JEE 2003 Screening

MCQ (Single Correct Answer)
Tangent is drawn to ellipse
$${{{x^2}} \over {27}} + {y^2} = 1\,\,\,at\,\left( {3\sqrt 3 \cos \theta ,\sin \theta } \right)\left( {where\,\,\theta \in \left( {0,\pi /2} \right)} \right)$$.

Then the value of $$\theta $$ such that sum of intercepts on axes made by this tangent is minimum, is

A
$$\pi /3$$
B
$$\pi /6$$
C
$$\pi /8$$
D
$$\pi /4$$
4

IIT-JEE 2003 Screening

MCQ (Single Correct Answer)
In $$\left[ {0,1} \right]$$ Languages Mean Value theorem is NOT applicable to
A
$$f\left( x \right) = \left\{ {\matrix{ {{1 \over 2} - x} & {x < {1 \over 2}} \cr {{{\left( {{1 \over 2} - x} \right)}^2}} & {x \ge {1 \over 2}} \cr } } \right.$$
B
$$f\left( x \right) = \left\{ {\matrix{ {\sin x,} & {x \ne 0} \cr {1,} & {x = 0} \cr } } \right.$$
C
$$f\left( x \right) = x\left| x \right|$$
D
$$f\left( x \right) = \left| x \right|$$

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12