IIT-JEE 2002 Screening
Paper was held on
Thu, Apr 11, 2002 9:00 AM
Chemistry
Which of the following molecular species has unpaired electrons(s)?
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 Identify the least stable ion amongst the following
View Question Identify the correct order of acidic strengths of CO2, CuO, CaO, H2O
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 Rutherford's experiment, which established the nuclear model of the atom, used a beam of
View Question How many moles of electron weigh one kilogram?
View Question Mathematics
The point(s) in the curve $${y^3} + 3{x^2} = 12y$$ where the tangent is vertical, is (are)
View Question Let $$\overrightarrow V = 2\overrightarrow i + \overrightarrow j - \overrightarrow k $$ and $$\overrightarrow W = \o
View Question If $${\overrightarrow a }$$ and $${\overrightarrow b }$$ are two unit vectors such that $${\overrightarrow a + 2\overri
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 Let $$f\left( x \right) = \int\limits_1^x {\sqrt {2 - {t^2}} \,dt.} $$ Then the real roots of the equation
$${x^2} - f
View Question The integral $$\int\limits_{ - 1/2}^{1/2} {\left( {\left[ x \right] + \ell n\left( {{{1 + x} \over {1 - x}}} \right)} \r
View Question The area bounded by the curves $$y = \left| x \right| - 1$$ and $$y = - \left| x \right| + 1$$ is
View Question For all complex numbers $${z_1},\,{z_2}$$ satisfying $$\left| {{z_1}} \right| = 12$$ and $$\left| {{z_2} - 3 - 4i} \righ
View Question The length of a longest interval in which the function $$3\,\sin x - 4{\sin ^3}x$$ is increasing, is
View Question Which of the following pieces of data does NOT uniquely determine an acute-angled triangle $$ABC$$ ($$R$$ being the radi
View Question The equation of the common tangent to the curves $${y^2} = 8x$$ and $$xy = - 1$$ is
View Question The locus of the mid-point of the line segment joining the focus to a moving point on the parabola $${y^2} = 4ax$$ is an
View Question If $$a > 2b > 0$$ then the positive value of $$m$$ for which $$y = mx - b\sqrt {1 + {m^2}} $$ is a common tangent
View Question If the tangent at the point P on the circle $${x^2} + {y^2} + 6x + 6y = 2$$ meets a straight line 5x - 2y + 6 = 0 at a
View Question A straight line through the origin $$O$$ meets the parallel lines $$4x+2y=9$$ and $$2x+y+6=0$$ at points $$P$$ and $$Q$$
View Question Let $$P = \left( { - 1,\,0} \right),\,Q = \left( {0,\,0} \right)$$ and $$R = \left( {3,\,3\sqrt 3 } \right)$$ be three p
View Question Let $$0 < \alpha < {\pi \over 2}$$ be fixed angle. If $$P = \left( {\cos \theta ,\,\sin \theta } \right)$$ and $
View Question Suppose $$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 The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently is
View Question The sum $$\sum\limits_{i = 0}^m {\left( {\matrix{
{10} \cr
i \cr
} } \right)\left( {\matrix{
{20} \cr
View Question The set of all real numbers x for which $${x^2} - \left| {x + 2} \right| + x > 0$$, is
View Question If $${a_1},{a_2}.......,{a_n}$$ are positive real numbers whose product is a fixed number c, then the minimum value of $
View Question The number of integral values of $$k$$ for which the equation $$7\cos x + 5\sin x = 2k + 1$$ has a solution is
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