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## IIT-JEE 2011 Paper 2 Offline

Exam Held on Sun Apr 10 2011 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

Match the transformations in <b>column I</b> with appropriate options in <b>colu...
In 1 L saturated solution of AgCl [K<sub>sp</sub>(AgCl) = 1.6 $$\times$$ 10<sup>...
The number of hexagonal face that present in a truncated octahedron is
The freezing point (in <sup>o</sup>C) of a solution containing 0.1 g of K<sub>3<...
Consider the following cell reaction:<br> 2Fe(s) + O<sub>2</sub>(g) + 4H<sup>+</...
For the first order reaction<br> 2N<sub>2</sub>O<sub>5</sub> (g) $$\to$$ 4NO<sub...
Oxidation states of the metal in the minerals haematite and magnetite, respectiv...

## Mathematics

Let $$\omega = {e^{{{i\pi } \over 3}}}$$, and a, b, c, x, y, z be non-zero comp...
The number of distinct real roots of $${x^4} - 4{x^3} + 12{x^2} + x - 1 = 0$$
A value of $$b$$ for which the equations $$\matrix{ {{x^2} + bx - 1 = 0} \... The circle passing through the point (-1, 0) and touching the y-axis at (0, 2) a... The straight line 2x - 3y = 1 divides the circular region$${x^2}\, + \,{y^2}\, ...
Let $$(x, y)$$ be any point on the parabola $${y^2} = 4x$$. Let $$P$$ be the poi...
Let $$P(6, 3)$$ be a point on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}}... Let f$$:\left[ { - 1,2} \right] \to \left[ {0,\infty } \right]$$be a conti... Let$$y'\left( x \right) + y\left( x \right)g'\left( x \right) = g\left( x \righ...
Let $$E$$ and $$F$$ be two independent events. The probability that exactly one ...
Match the statements given in Column -$$I$$ with the values given in Column-$$II... Let$$\overrightarrow a = - \widehat i - \widehat k,\overrightarrow b = - \w...
<p>If $$\mathop {\lim }\limits_{x \to 0} {[1 + x\ln (1 + {b^2})]^{1/x}} = 2b{\si... <p>Let f(x) = x<sup>2</sup> and g(x) = sin x for all x$$\in$$R. Then the set o... <p>Let$$\omega\ne$$1 be a cube root of unity and S be the set of all non-... <p>If$$f(x) = \left\{ {\matrix{ { - x - {\pi \over 2},} & {x \le - {\pi \...
<p>Let $$f:(0,1) \to R$$ be defined by $$f(x) = {{b - x} \over {1 - bx}}$$, wher...
<p>Let L be a normal to the parabola y<sup>2</sup> = 4x. If L passes through the...
<p>Let M be a 3 $$\times$$ 3 matrix satisfying $$M\left[ {\matrix{ 0 \cr ... <p>Match the statements given in Column I with the intervals/union of intervals ... ## Physics The density of a solid ball is to be determined in an experiment. The diameter o... A train is moving along a straight line with a constant acceleration 'a'. A boy ... <p>A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The ... <p>A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mas... A satellite is moving with a constant speed ‘V’ in a circular orbit about the ea... A point mass is subjected to two simultaneous sinusoidal displacements in x-dire... Which of the field patterns given below is valid for electric field as well as f... A wooden block performs$$SHM$$on a frictionless surface with frequency,$${v_0...
Which of the following statement(s) is/are correct?
<p>A light ray travelling in glass medium is incident on glass-air interface at ...
<p>A long insulated copper wire is closely wound as a spiral of N turns. The spi...
<p>Two solid spheres A and B of equal volumes but of different densities d<sub>A...
<p>A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal ...
<p>A series RC-current is connected to AC voltage source. Consider two cases : (...
<p>A series RC combination is connected to an AC voltage of angular frequency ...
<p>A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an ...
<p>Two batteries of different emfs and different internal resistance are connect...
<p>Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractiv...
<p>One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV...
<p>Column I shows four systems, each of the same length L, for producing standin...

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