IIT-JEE 2001 Screening
Paper was held on Wed, Apr 11, 2001 9:00 AM
View Questions

## Chemistry

The reaction, $$3Cl{O^ - }(aq)$$$$\to ClO_3^ - (aq) + 2C{l^ - }(aq)$$ is an example of :
View Question
An aqueous solution of 6.3 g oxalic acid dehydrate is made up to 250ml. the volume of 0.1N NaOH required to completely n
View Question
In the standardization of Na2S2O3 using K2Cr2O7 by iodometry, the equivalent weight of K2Cr2O7 is:
View Question
The wavelength associated with a golf ball weighing 200 g and moving at speed of 5 m/h is of the order
View Question
The quantum numbers +1/2 and -1/2 for the electron spin represent
View Question
The common features among the species CN-, CO and NO+ are
View Question
The set representing the correct order of first ionization potential is
View Question

## Mathematics

The number of distinct real roots of $$\left| {\matrix{ {\sin x} &amp; {\cos x} &amp; {\cos x} \cr {\cos x} &amp View Question The maximum value of$$\left( {\cos {\alpha _1}} \right).\left( {\cos {\alpha _2}} \right).....\left( {\cos {\alpha _n}}
View Question
If $$\alpha + \beta = \pi /2$$ and $$\beta + \gamma = \alpha ,$$ then $$\tan \,\alpha \,$$ equals
View Question
Let $${z_1}$$ and $${z_2}$$ be $${n^{th}}$$ roots of unity which subtend a right angle at the origin. Then $$n$$ must be
View Question
The complex numbers $${z_1},\,{z_2}$$ and $${z_3}$$ satisfying $${{{z_1} - {z_3}} \over {{z_2} - {z_3}}} = {{1 - i\sqrt View Question In the binomial expansion of$${\left( {a - b} \right)^n},\,n \ge 5,$$the sum of the$${5^{th}}$$and$${6^{th}}$$term View Question Let$${T_n}$$denote the number of triangles which can be formed using the vertices of a regular polygon of n sides. If View Question Let$$\alpha $$,$$\beta $$be the roots of$${x^2} - x + p = 0$$and$$\gamma ,\delta $$be the roots of$${x^2} - 4x +
View Question
If the sum of the first $$2n$$ terms of the A.P.$$2,5,8,......,$$ is equal to the sum of the first $$n$$ terms of the A.
View Question
Let the positive numbers $$a,b,c,d$$ be in A.P. Then $$abc,$$ $$abd,$$ $$acd,$$ $$bcd,$$ are
View Question
The number of integer values of $$m$$, for which the $$x$$-coordinate of the point of intersection of the lines $$3x + 4 View Question Area of the parallelogram formed by the lines$$y = mx$$,$$y = mx + 1$$,$$y = nx$$and$$y = nx + 1$$equals View Question Let A B be a chord of the circle$${x^2} + {y^2} = {r^2}$$subtending a right angle at the centre. Then the locus of the View Question Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a poi View Question The equation of the directrix of the parabola$${y^2} + 4y + 4x + 2 = 0$$View Question The equation of the common tangent touching the circle$${\left( {x - 3} \right)^2} + {y^2} = 9$$and the parabola$${y^
View Question
Let $$f:\left( {0,\infty } \right) \to R$$ and $$F\left( x \right) = \int\limits_0^x {f\left( t \right)dt.}$$ If $$F\l View Question A man from the top of a$$100$$metres high tower sees a car moving towards the tower at an angle of depression of$${30
View Question
If $${\sin ^{ - 1}}\left( {x - {{{x^2}} \over 2} + {{{x^3}} \over 4} - ....} \right)$$ $$+ {\cos ^{ - 1}}\left( {{x^2 View Question If$$f\left( x \right) = x{e^{x\left( {1 - x} \right)}},$$then$$f(x)$$is View Question The triangle formed by the tangent to the curve$$f\left( x \right) = {x^2} + bx - b$$at the point$$(1, 1)$$and the c View Question Let$$f\left( x \right) = \left( {1 + {b^2}} \right){x^2} + 2bx + 1$$and let$$m(b)$$be the minimum value of$$f(x)$$View Question The value of$$\int\limits_{ - \pi }^\pi {{{{{\cos }^2}x} \over {1 + {a^x}}}dx,\,a &gt; 0,} $$is View Question Let$$\overrightarrow a = \overrightarrow i - \overrightarrow k ,\overrightarrow b = x\overrightarrow i + \overright
View Question
If $$\overrightarrow a \,,\,\overrightarrow b$$ and $$\overrightarrow c$$ are unit vectors, then $${\left| {\overright View Question ## Physics A quantity X is given by$${\varepsilon _0}L{{\Delta V} \over {\Delta t}}$$where$${\varepsilon _0}$$is the permittivi View Question The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, View Question A particle executes simple harmonic motion between x = - A to x = + A. The time taken for it to go from 0 to$${A \over
View Question
EXAM MAP
Joint Entrance Examination