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IIT-JEE 2001 Screening

Exam Held on Wed Apr 11 2001 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

Chemistry

The reaction, $$3Cl{O^ - }(aq)$$$$ \to ClO_3^ - (aq) + 2C{l^ - }(aq)$$ is an exa...
An aqueous solution of 6.3 g oxalic acid dehydrate is made up to 250ml. the volu...
In the standardization of Na<sub>2</sub>S<sub>2</sub>O<sub>3</sub> using K<sub>2...
The wavelength associated with a golf ball weighing 200 g and moving at speed of...
The quantum numbers +1/2 and -1/2 for the electron spin represent
The common features among the species CN<sup>-</sup>, CO and NO<sup>+</sup> are
The set representing the correct order of first ionization potential is

Mathematics

The number of distinct real roots of $$\left| {\matrix{ {\sin x} &amp; {\cos ...
The maximum value of $$\left( {\cos {\alpha _1}} \right).\left( {\cos {\alpha _2...
If $$\alpha + \beta = \pi /2$$ and $$\beta + \gamma = \alpha ,$$ then $$\tan...
Let $${z_1}$$ and $${z_2}$$ be $${n^{th}}$$ roots of unity which subtend a right...
The complex numbers $${z_1},\,{z_2}$$ and $${z_3}$$ satisfying $${{{z_1} - {z_3}...
In the binomial expansion of $${\left( {a - b} \right)^n},\,n \ge 5,$$ the sum o...
Let $${T_n}$$ denote the number of triangles which can be formed using the verti...
Let $$\alpha $$, $$\beta $$ be the roots of $${x^2} - x + p = 0$$ and $$\gamma ,...
If the sum of the first $$2n$$ terms of the A.P.$$2,5,8,......,$$ is equal to th...
Let the positive numbers $$a,b,c,d$$ be in A.P. Then $$abc,$$ $$abd,$$ $$acd,$$ ...
The number of integer values of $$m$$, for which the $$x$$-coordinate of the poi...
Area of the parallelogram formed by the lines $$y = mx$$, $$y = mx + 1$$, $$y =...
Let A B be a chord of the circle $${x^2} + {y^2} = {r^2}$$ subtending a right an...
Let PQ and RS be tangents at the extremities of the diameter PR of a circle of r...
The equation of the directrix of the parabola $${y^2} + 4y + 4x + 2 = 0$$
The equation of the common tangent touching the circle $${\left( {x - 3} \right)...
Let $$f:\left( {0,\infty } \right) \to R$$ and $$F\left( x \right) = \int\limits...
A man from the top of a $$100$$ metres high tower sees a car moving towards the ...
If $${\sin ^{ - 1}}\left( {x - {{{x^2}} \over 2} + {{{x^3}} \over 4} - ....} \ri...
If $$f\left( x \right) = x{e^{x\left( {1 - x} \right)}},$$ then $$f(x)$$ is
The triangle formed by the tangent to the curve $$f\left( x \right) = {x^2} + bx...
Let $$f\left( x \right) = \left( {1 + {b^2}} \right){x^2} + 2bx + 1$$ and let $...
The value of $$\int\limits_{ - \pi }^\pi {{{{{\cos }^2}x} \over {1 + {a^x}}}dx,...
Let $$\overrightarrow a = \overrightarrow i - \overrightarrow k ,\overrightarr...
If $$\overrightarrow a \,,\,\overrightarrow b $$ and $$\overrightarrow c $$ are ...

Physics

A quantity X is given by $${\varepsilon _0}L{{\Delta V} \over {\Delta t}}$$ wher...
The pulleys and strings shown in the figure are smooth and of negligible mass. F...
A particle executes simple harmonic motion between x = - A to x = + A. The time ...

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