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IIT-JEE 2000

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

Calculate the energy required to excite one litre of hydrogen gas at 1 atm and 2...
Write down the M.O. electron distribution of O<sub>2</sub>. Specify its bond ord...
To 500 cm<sup>3</sup> of water, 3.0 $$\times$$ 10<sup>-3</sup> kg of acetic acid...
Copper sulphate solution (250 mL) was electrolysed using platinum anode and a co...
The following electrochemical cell has been set up.<br> Pt(1) | Fe<sup>3+</sup>,...
A hydrogenation reaction is carried out at 500 K. If the same reaction is carrie...

Mathematics

In any triangle $$ABC,$$ prove that $$$\cot {A \over 2} + \cot {B \over 2} + \c...
If $$\alpha ,\,\beta $$ are the roots of $$a{x^2} + bx + c = 0$$, $$\,\left( {a...
For any positive integer $$m$$, $$n$$ (with $$n \ge m$$), let $$\left( {\matrix{...
For every possitive integer $$n$$, prove that <br>$$\sqrt {\left( {4n + 1} \rig...
Let $$a,\,b,\,c$$ be possitive real numbers such that $${b^2} - 4ac &gt; 0$$ and...
A coin probability $$p$$ of showing head when tossed. It is tossed $$n$$ times. ...
The fourth power of the common difference of an arithmatic progression with inte...
For points $$P\,\,\, = \left( {{x_1},\,{y_1}} \right)$$ and $$Q\,\,\, = \left( {...
Let $$ABC$$ and $$PQR$$ be any two triangles in the same plane. Assume that the ...
Let $$ABC$$ be an equilateral triangle inscribed in the circle $${x^2} + {y^2} =...
Let $${C_1}$$ and $${C_2}$$ be respectively, the parabolas $${x^2} = y - 1$$ and...
If $${x^2} + {y^2} = 1$$ then
Let $$ABC$$ be a triangle with incentre $$I$$ and inradius $$r$$. Let $$D,E,F$$ ...
Suppose $$p\left( x \right) = {a_0} + {a_1}x + {a_2}{x^2} + .......... + {a_n}{x...
For $$x&gt;0,$$ let $$f\left( x \right) = \int\limits_e^x {{{\ln t} \over {1 + t...
A coin has probability $$p$$ of showing head when tossed. It is tossed $$n$$ tim...

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