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IIT-JEE 2000 Screening

Exam Held on Tue Apr 11 2000 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Amongst the following identify the species with an atom in +6 oxidation state
The number of nodal planes in a p<sub>x</sub> orbital is
The electronic configuration of an element is 1s<sup>2</sup>, 2s<sup>2</sup> 2p<...
The correct order of radii is
The correct order of acidic strength is
Amongst H<sub>2</sub>O, H<sub>2</sub>S, H<sub>2</sub>Se and H<sub>2</sub>Te, the...
Read the following statement and explanation and answer as per the options given...
Molecular shape of SF<sub>4</sub>, CF<sub>4</sub> and XeF<sub>4</sub> are
The hybridisation of atomic orbitals of nitrogen in $$NO_2^+$$, $$NO_3^-$$ and $...

Mathematics

Let $$f\left( \theta \right) = \sin \theta \left( {\sin \theta + \sin 3\theta ...
If $${z_1},\,{z_2}$$ and $${z_3}$$ are complex numbers such that $$\left| {{z_1}...
If $$\arg \left( z \right) &lt; 0,$$ then $$\arg \left( { - z} \right) - \arg \l...
If b &gt; a, then the equation (x - a) (x - b) - 1 = 0 has
If a, b, c, d are positive real numbers such that a + b + c + d = 2, then M = (a...
For the equation $$3{x^2} + px + 3 = 0$$. p &gt; 0, if one of the root is square...
If $$\alpha \,and\,\beta $$ $$(\alpha \, &lt; \,\beta )$$ are the roots of the e...
For $$2 \le r \le n,\,\,\,\,\left( {\matrix{ n \cr r \cr } } \right)...
How many different nine digit numbers can be formed from the number 223355888 by...
Consider an infinite geometric series with first term a and common ratio $$r$$. ...
Let $$PS$$ be the median of the triangle with vertices $$P(2, 2),$$ $$Q(6, -1)$$...
The incentre of the triangle with vertices $$\left( {1,\,\sqrt 3 } \right),\left...
The triangle PQR is inscribed in the circle $${x^2}\, + \,\,{y^2} = \,25$$. If ...
If the circles $${x^2}\, + \,{y^2}\, + \,\,2x\, + \,2\,k\,y\,\, + \,6\,\, = \,\,...
If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is
If the line $$x - 1 = 0$$ is the directrix of the parabola $${y^2} - kx + 8 = 0,...
In a triangle $$ABC$$, $$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$
In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradi...
A pole stands vertically inside a triangular park $$\Delta ABC$$. If the angle o...
Consider the following statements in $$S$$ and $$R$$ <br>$$S:$$ $$\,\,\,$$$ Bot...
Let $$f\left( x \right) = \int {{e^x}\left( {x - 1} \right)\left( {x - 2} \right...
If the normal to the curve $$y = f\left( x \right)$$ and the point $$(3, 4)$$ ma...
For all $$x \in \left( {0,1} \right)$$
Let $$f\left( x \right) = \left\{ {\matrix{ {\left| x \right|,} &amp; {for} &...
If $$f\left( x \right) = \left\{ {\matrix{ {{e^{\cos x}}\sin x,} &amp; {for\,...
Let $$g\left( x \right) = \int\limits_0^x {f\left( t \right)dt,} $$ where f is s...
The value of the integral $$\int\limits_{{e^{ - 1}}}^{{e^2}} {\left| {{{{{\log }...
If $${x^2} + {y^2} = 1,$$ then
If the vectors $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c...
Let the vectors $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$ and...
If $$\overrightarrow a \,,\,\overrightarrow b $$ and $$\overrightarrow c $$ are ...

Physics

The dimension of $$\left( {{1 \over 2}} \right){\varepsilon _0}{E^2}$$ <br>( $${...
A wind-powered generator converts wind energy into electrical energy. Assume tha...
The period of oscillation of a simple pendulum of length $$L$$ suspended from th...

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