IIT-JEE 2002 Screening

Paper was held on
Thu, Apr 11, 2002 9:00 AM

## Chemistry

How many moles of electron weigh one kilogram?

View Question Rutherford's experiment, which established the nuclear model of the atom, used a beam of

View Question If the nitrogen atom has electronic configuration 1s7, it would have energy lower than that of the normal ground state c

View Question Identify the correct order of acidic strengths of CO2, CuO, CaO, H2O

View Question Identify the least stable ion amongst the following

View Question Specify the coordination geometry around and hybridisation of N and B atoms in a 1 : 1 complex of BF3 and NH3

View Question Which of the following molecular species has unpaired electrons(s)?

View Question ## Mathematics

For all complex numbers $${z_1},\,{z_2}$$ satisfying $$\left| {{z_1}} \right| = 12$$ and $$\left| {{z_2} - 3 - 4i} \righ

View Question The number of integral values of $$k$$ for which the equation $$7\cos x + 5\sin x = 2k + 1$$ has a solution is

View Question If $${a_1},{a_2}.......,{a_n}$$ are positive real numbers whose product is a fixed number c, then the minimum value of $

View Question The set of all real numbers x for which $${x^2} - \left| {x + 2} \right| + x > 0$$, is

View Question The sum $$\sum\limits_{i = 0}^m {\left( {\matrix{
{10} \cr
i \cr
} } \right)\left( {\matrix{
{20} \cr

View Question The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently is

View Question Suppose $$a, b, c$$ are in A.P. and $${a^2},{b^2},{c^2}$$ are in G.P. If $$a < b < c$$ and $$a + b + c = {3 \over

View Question Let $$0 < \alpha < {\pi \over 2}$$ be fixed angle. If $$P = \left( {\cos \theta ,\,\sin \theta } \right)$$ and $

View Question Let $$P = \left( { - 1,\,0} \right),\,Q = \left( {0,\,0} \right)$$ and $$R = \left( {3,\,3\sqrt 3 } \right)$$ be three p

View Question A straight line through the origin $$O$$ meets the parallel lines $$4x+2y=9$$ and $$2x+y+6=0$$ at points $$P$$ and $$Q$$

View Question If the tangent at the point P on the circle $${x^2} + {y^2} + 6x + 6y = 2$$ meets a straight line 5x - 2y + 6 = 0 at a

View Question If $$a > 2b > 0$$ then the positive value of $$m$$ for which $$y = mx - b\sqrt {1 + {m^2}} $$ is a common tangent

View Question The locus of the mid-point of the line segment joining the focus to a moving point on the parabola $${y^2} = 4ax$$ is an

View Question The equation of the common tangent to the curves $${y^2} = 8x$$ and $$xy = - 1$$ is

View Question Which of the following pieces of data does NOT uniquely determine an acute-angled triangle $$ABC$$ ($$R$$ being the radi

View Question The length of a longest interval in which the function $$3\,\sin x - 4{\sin ^3}x$$ is increasing, is

View Question The point(s) in the curve $${y^3} + 3{x^2} = 12y$$ where the tangent is vertical, is (are)

View Question The area bounded by the curves $$y = \left| x \right| - 1$$ and $$y = - \left| x \right| + 1$$ is

View Question The integral $$\int\limits_{ - 1/2}^{1/2} {\left( {\left[ x \right] + \ell n\left( {{{1 + x} \over {1 - x}}} \right)} \r

View Question Let $$f\left( x \right) = \int\limits_1^x {\sqrt {2 - {t^2}} \,dt.} $$ Then the real roots of the equation
$${x^2} - f

View Question Let $$T>0$$ be a fixed real number . Suppose $$f$$ is a continuous
function such that for all $$x \in R$$, $$f\left

View Question Let $$T>0$$ be a fixed real number . Suppose $$f$$ is a continuous
function such that for all $$x \in R$$, $$f\left

View Question If $${\overrightarrow a }$$ and $${\overrightarrow b }$$ are two unit vectors such that $${\overrightarrow a + 2\overri

View Question Let $$\overrightarrow V = 2\overrightarrow i + \overrightarrow j - \overrightarrow k $$ and $$\overrightarrow W = \o

View Question ## Physics

An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The

View Question