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IIT-JEE 2003 Screening

Exam Held on Fri Apr 11 2003 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Which has maximum number of atoms?
Mixture X = 0.02 mol of [Co(NH<sub>3</sub>)<sub>5</sub>SO<sub>4</sub>]Br and 0.0...
Which of the following are isoelectronic and isostructural?<br> $$NO_3^-$$, $$CO...

Mathematics

If $$\,\left| z \right| = 1$$ and $$\omega = {{z - 1} \over {z + 1}}$$ (where $...
If $$\,\alpha \in \left( {0,{\pi \over 2}} \right)\,\,then\,\,\sqrt {{x^2} + x...
Coefficient of $${t^{24}}$$ in $${\left( {1 + {t^2}} \right)^{12}}\left( {1 + {t...
The number of integral points (integral point means both the coordinates should ...
Orthocentre of triangle with vertices $$\left( {0,0} \right),\left( {3,4} \right...
The centre of circle inscibed in square formed by the lines $${x^2} - 8x + 12 = ...
The area of the quadrilateral formed by the tangents at the end points of latus ...
For hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^...
The focal chord to $${y^2} = 16x$$ is tangent to $${\left( {x - 6} \right)^2} + ...
If the angles of a triangle are in the ratio $$4:1:1$$, then the ratio of the lo...
In $$\left[ {0,1} \right]$$ Languages Mean Value theorem is NOT applicable to
Tangent is drawn to ellipse <br>$${{{x^2}} \over {27}} + {y^2} = 1\,\,\,at\,\le...
If $$l\left( {m,n} \right) = \int\limits_0^1 {{t^m}{{\left( {1 + t} \right)}^n}d...
If $$f\left( x \right) = \int\limits_{{x^2}}^{{x^2} + 1} {{e^{ - {t^2}}}} dt,$$ ...
The area bounded by the curves $$y = \sqrt x ,2y + 3 = x$$ and <br>$$x$$-axis i...
If $$y(t)$$ is a solution of $$\left( {1 + t} \right){{dy} \over {dt}} - ty = 1$...
Two numbers are selected randomly from the set $$S = \left\{ {1,2,3,4,5,6} \righ...
If $$P\left( B \right) = {3 \over 4},P\left( {A \cap B \cap \overline C } \right...
The value of $$k$$ such that $${{x - 4} \over 1} = {{y - 2} \over 1} = {{z - k} ...
The value of $$'a'$$ so that the volume of parallelopiped formed by $$\widehat i...

Physics

<p>A cube has a side of length 1.2 ✕ 10<sup>-2</sup> m. Calculate its volume.</p...
If W<sub>1</sub>, W<sub>2</sub> and W<sub>3</sub> represent the work done in mov...

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