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IIT-JEE 2004 Screening

Exam Held on Sun Apr 11 2004 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The pair of compounds having metals in their highest oxidation state is
The radius of which of the following orbit is same as that of the first Bohr's o...
According to molecular orbital theory which of the following statement about the...
A sodium salt on treatment with MgCl<sub>3</sub> gives white precipitate only on...

Mathematics

If $$\omega $$ $$\left( { \ne 1} \right)$$ be a cube root of unity and $${\left(...
Given both $$\theta $$ and $$\phi $$ are acute angles and $$\sin \,\theta = {1 ...
If one root is square of the other root of the equation $${x^2} + px + q = 0$$, ...
For all $$'x',{x^2} + 2ax + 10 - 3a &gt; 0,$$ then the interval in which '$$a$$...
If $${}^{n - 1}{C_r} = \left( {{k^2} - 3} \right)\,{}^n{C_{r + 1,}}$$ then $$k \...
An infinite G.P. has first term '$$x$$' and sum '$$5$$', then $$x$$ belongs to ...
Area of the triangle formed by the line $$x + y = 3$$ and angle bisectors of the...
If one of the diameters of the circle $${x^2} + {y^2} - 2x - 6y + 6 = 0$$ is a c...
The angle between the tangents drawn from the point $$(1, 4)$$ to the parabola $...
If tangents are drawn to the ellipse $${x^2} + 2{y^2} = 2,$$ then the locus of t...
If the line $$62x + \sqrt 6 y = 2$$ touches the hyperbola $${x^2} - 2{y^2} = 4$$...
If $$y$$ is a function of $$x$$ and log $$(x+y)-2xy=0$$, then the value of $$y'(...
The sides of a triangle are in the ratio $$1:\sqrt 3 :2$$, then the angles of th...
The value of $$x$$ for which $$sin\left( {{{\cot }^{ - 1}}\left( {1 + x} \right)...
If $$f\left( x \right) = {x^3} + b{x^2} + cx + d$$ and $$0 &lt; {b^2} &lt; c,$$ ...
If $$f\left( x \right) = {x^a}\log x$$ and $$f\left( 0 \right) = 0,$$ then the v...
The value of the integral $$\int\limits_0^1 {\sqrt {{{1 - x} \over {1 + x}}} dx}...
The area enclosed between the curves $$y = a{x^2}$$ and <br>$$x = a{y^2}\left( ...
If $$f(x)$$ is differentiable and $$\int\limits_0^{{t^2}} {xf\left( x \right)dx ...
If $$y=y(x)$$ and $${{2 + \sin x} \over {y + 1}}\left( {{{dy} \over {dx}}} \righ...
If three distinct numbers are chosen randomly from the first $$100$$ natural num...
If $$\overrightarrow a = \left( {\widehat i + \widehat j + \widehat k} \right),...
If the lines $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $...
The unit vector which is orthogonal to the vector $$3\overrightarrow i + 2\over...

Physics

Pressure depends on distance as, $$P = {\alpha \over \beta }\exp \left( { - {{\...
A wire of length $$l = 6 \pm 0.06$$ cm and $$r = 0.5 \pm 0.005$$ cm and mass $$m...
A body starts from rest at time t = 0, the acceleration time graph is shown in t...
A particle starts sliding down a frictionless inclined plane. If S<sub>n</sub> i...
A particle is acted by a force F = kx, where k is a +ve constant. Its potential ...

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