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## IIT-JEE 2006

Exam Held on Tue Apr 11 2006 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## 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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