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IIT-JEE 2005

Exam Held on Mon Apr 11 2005 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Find the velocity (ms<sup>-1</sup>) of electron in first Bohr's orbit of radius...
(a). For the reaction<br> Ag<sup>+ </sup> (aq) + Cl<sup>-</sup> (aq) $$\leftrigh...
At constant temperature and volume, X decomposes as 2X(g) $$\to$$ 3Y(g) + 2Z(g)...

Mathematics

If one the vertices of the square circumscribing the circle $$\left| {z - 1} \ri...
Find the range of values of $$\,t$$ for which $$$2\,\sin \,t = {{1 - 2x + 5{x^2}...
If total number of runs scored in n matches is $$\left( {{{n + 1} \over 4}} \rig...
The area of the triangle formed by intersection of a line parallel to $$x$$-axis...
Circles with radii 3, 4 and 5 touch each other externally. It P is the point of ...
Tangents are drawn from any point on the hyperbola $${{{x^2}} \over 9} - {{{y^2}...
Find the equation of the common tangent in $${1^{st}}$$ quadrant to the circle $...
In an equilateral triangle, $$3$$ coins of radii $$1$$ unit each are kept so tha...
If $$\left| {f\left( {{x_1}} \right) - f\left( {{x_2}} \right)} \right| &lt; {\...
If $$p(x)$$ be a polynomial of degree $$3$$ satisfying $$p(-1)=10, p(1)=-6$$ and...
Evaluate $$\,\int\limits_0^\pi {{e^{\left| {\cos x} \right|}}} \left( {2\sin \l...
Find the area bounded by the curves $${x^2} = y,{x^2} = - y$$ and $${y^2} = 4x ...
$$f(x)$$ is a differentiable function and $$g(x)$$ is a double differentiable <b...
If $$\left[ {\matrix{ {4{a^2}} &amp; {4a} &amp; 1 \cr {4{b^2}} &amp; {4...
If length of tangent at any point on the curve $$y=f(x)$$ intecepted between the...
A person goes to office either by car, scooter, bus or train, the probability of...
Find the equation of the plane containing the line $$2x-y+z-3=0,3x+y+z=5$$ and a...
If the incident ray on a surface is along the unit vector $$\widehat v\,\,,$$ th...

Physics

The side of a cube is measured by vernier callipers (10 divisions of a vernier s...

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