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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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