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IIT-JEE 2005 Screening

Exam Held on Mon Apr 11 2005 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The number of radial nodes of 3s and 2p orbitals are respectively
Which species has the maximum number of lone pair of electrons on the central at...
The elevation in boiling point of a solution of 13.44 g of CuCl<sub>2</sub> in 1...

Mathematics

$$a,\,b,\,c$$ are integers, not all simultaneously equal and $$\omega $$ is cube...
$$\cos \left( {\alpha - \beta } \right) = 1$$ and $$\,\cos \left( {\alpha + \b...
The value of $$$\left( {\matrix{ {30} \cr 0 \cr } } \right)\left( {\...
A rectangle with sides of lenght (2m - 1) and (2n - 1) units is divided into squ...
If the LCM of p, q is $${r^2}\,{r^4}\,{s^2}$$, where r, s, t are prime numbers a...
In the quadratic equation $$\,\,a{x^2} + bx + c = 0,$$ $$\Delta $$ $$ = {b^2} - ...
A circle is given by $${x^2}\, + \,{(y\, - \,1\,)^2}\, = \,1$$, another circle ...
The minimum area of triangle formed by the tangent to the $${{{x^2}} \over {{a^2...
Tangent to the curve $$y = {x^2} + 6$$ at a point $$(1, 7)$$ touches the circle ...
If $$f(x)$$ is a twice differentiable function and given that $$f\left( 1 \right...
In a triangle $$ABC$$, $$a,b,c$$ are the lengths of its sides and $$A,B,C$$ are ...
If $$P(x)$$ is a polynomial of degree less than or equal to $$2$$ and $$S$$ is t...
If $$\int\limits_{\sin x}^1 {{t^2}f\left( t \right)dt = 1 - \sin x,} $$ then f$$...
The area bounded by the parabola $$y = {\left( {x + 1} \right)^2}$$ and <br>$$y...
$$\int\limits_{ - 2}^0 {\left\{ {{x^3} + 3{x^2} + 3x + 3 + \left( {x + 1} \right...
For the primitive integral equation $$ydx + {y^2}dy = x\,dy;$$ <br>$$x \in R,\,...
The solution of primitive integral equation $$\left( {{x^2} + {y^2}} \right)dy =...
If $$y=y(x)$$ and it follows the relation $$x\cos \,y + y\,cos\,x = \pi $$ then ...
The differential equation $${{dy} \over {dx}} = {{\sqrt {1 - {y^2}} } \over y}$$...
A six faced fair dice is thrown until $$1$$ comes, then the probability that $$1...
A variable plane at a distance of the one unit from the origin cuts the coordina...
If $$\overrightarrow a \,,\,\overrightarrow b ,\overrightarrow c $$ are three n...

Physics

Which of the following set have different dimensions?
A simple pendulum has time period T<sub>1</sub>. The point of suspension is now ...

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