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IIT-JEE 2006

Exam Held on Tue Apr 11 2006 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

According to Bohr's theory<br> E<sub>n</sub> = Total energy, K<sub>n</sub> = Kin...
The species present in solution when CO<sub>2</sub> is dissolved in water are
MgSO<sub>4</sub> on reaction with NH<sub>4</sub>OH and Na<sub>2</sub>HPO<sub>4</...
75.2 g of C<sub>6</sub>H<sub>5</sub>OH (phenol) is dissolved in a solvent of K<s...
We have taken a saturated solution of AgBr. K<sub>sp</sub> of AgBr is 12 $$\time...

Mathematics

If $${{w - \overline w z} \over {1 - z}}$$ is purely real where $$w = \alpha + ...
Let $$\theta \in \left( {0,{\pi \over 4}} \right)$$ and $${t_1} = {\left( {\ta...
Let $$a,\,b,\,c$$ be the sides of triangle where $$a \ne b \ne c$$ and $$\lambda...
Let $$a$$ and $$b$$ be the roots of the equation $${x^2} - 10cx - 11d = 0$$ and ...
If $${a_n} = {3 \over 4} - {\left( {{3 \over 4}} \right)^2} + {\left( {{3 \over ...
ABCD is a square of side length 2 units. $$C_1$$ is the circle touching all the ...
ABCD is a square of side length 2 units. $$C_1$$ is the circle touching all the ...
ABCD is a square of side length 2 units. $${C_1}$$ is the circle touching all th...
The axis of a parabola is along the line $$y = x$$ and the distances of its vert...
The equations of the common tangents to the parabola $$y = {x^2}$$ and $$y = - ...
Let a hyperbola passes through the focus of the ellipse $${{{x^2}} \over {25}} +...
Match the following : $$(3, 0)$$ is the pt. from which three normals are drawn t...
One angle of an isosceles $$\Delta $$ is $${120^ \circ }$$ and radius of its inc...
In $$\Delta ABC$$, internal angle bisector of $$\angle A$$ meets side $$BC$$ in ...
Match the following <p><b>Column $$I$$</b></p> <p>(A) $$\sum\limits_{i = 1}^\in...
$$f(x)$$ is cubic polynomial with $$f(2)=18$$ and $$f(1)=-1$$. Also $$f(x)$$ has...
Let $$f\left( x \right) = \left\{ {\matrix{ {{e^x},} &amp; {0 \le x \le 1} \...
For a twice differentiable function $$f(x),g(x)$$ is defined as $$4\sqrt {65} g\...
$$\int {{{{x^2} - 1} \over {{x^3}\sqrt {2{x^4} - 2{x^2} + 1} }}dx = } $$
The value of $$5050{{\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} d...
Match the following : <p><b>Column $$I$$</b> <br>(A) $$\int\limits_0^{\pi /2} {{...
Let the definite integral be defined by the formula <br>$$\int\limits_a^b {f\le...
Let the definite integral be defined by the formula <br>$$\int\limits_a^b {f\le...
Let the definite integral be defined by the formula <br>$$\int\limits_a^b {f\le...
A curve $$y=f(x)$$ passes through $$(1,1)$$ and at $$P(x,y),$$ tangent cuts the...
There are $$n$$ urns, each of these contain $$n+1$$ balls. The ith urn contains ...
There are $$n$$ urns, each of these contain $$n+1$$ balls. The ith urn contains ...
There are $$n$$ urns, each of these contain $$n+1$$ balls. The ith urn contains ...
A plane which is perpendicular to two planes $$2x - 2y + z = 0$$ and $$x - y + 2...
Let $$\overrightarrow a = \widehat i + 2\widehat j + \widehat k,\,\overrightarr...
Let $${\overrightarrow A }$$ be vector parallel to line of intersection of plan...
Match the folowing : <br>(A)$$\,\,\,$$Two rays $$x + y = \left| a \right|$$ and ...

Physics

A student performs an experiment for determination of $$\mathrm g\left(=\frac{4\...
<p>In a screw gauge, the zero of main scale coincides with the fifth division of...

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