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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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