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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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