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IIT-JEE 2003

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

Calculate the molarity of water if it's density is 1000 kg/m<sup>3</sup>
Wavelength of high energy transition of H-atoms is 91.2 nm. Calculate the corres...
Using VSEPR Theory draw the shape of PCl<sub>5</sub> and BrF<sub>5</sub>
1 gm of charcoal adsorbs 100 ml 0.5 M CH<sub>3</sub>COOH to form a monolayer, an...
Two students use the same stock solution of ZnSO<sub>4</sub> and solution of CuS...

Mathematics

If $${z_1}$$ and $${z_2}$$ are two complex numbers such that $$\,\left| {{z_1}} ...
Prove that there exists no complex number z such that $$\left| z \right| &lt; {1...
If $${x^2} + \left( {a - b} \right)x + \left( {1 - a - b} \right) = 0$$ where $$...
Prove that <br>$${2^k}\left( {\matrix{ n \cr 0 \cr } } \right)\left...
If a, b, c are in A.P., $${a^2}$$, $${b^2}$$, $${c^2}$$ are in H.P., then prove ...
For the circle $${x^2}\, + \,{y^2} = {r^2}$$, find the value of r for which the ...
Normals are drawn from the point $$P$$ with slopes $${m_1}$$, $${m_2}$$, $${m_3}...
If $${I_n}$$ is the area of $$n$$ sided regular polygon inscribed in a circle of...
Using the relation $$2\left( {1 - \cos x} \right) &lt; {x^2},\,x \ne 0$$ or othe...
Find a point on the curve $${x^2} + 2{y^2} = 6$$ whose distance from <br>the li...
If the function $$f:\left[ {0,4} \right] \to R$$ is differentiable then show tha...
If $$P(1)=0$$ and $${{dp\left( x \right)} \over {dx}} &gt; P\left( x \right)$$ f...
If $$f$$ is an even function then prove that <br>$$\int\limits_0^{\pi /2} {f\le...
A right circular cone with radius $$R$$ and height $$H$$ contains a liquid which...
$$A$$ is targeting to $$B, B$$ and $$C$$ are targeting to $$A.$$ Probability of ...
For a student to qualify, he must pass at least two out of three exams. The prob...
If $$\overrightarrow u ,\overrightarrow v ,\overrightarrow w ,$$ are three non-c...
(i) Find the equation of the plane passing through the points $$(2, 1, 0), (5, 0...

Physics

If n<sup>th</sup> divisions of the main scale coincide with (n+1)<sup>th</sup> d...

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