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IIT-JEE 1986

Exam Held on Fri Apr 11 1986 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

A molal solution is one that contains one mole of solute in
Complete and balance the following equation:<br><br> S + OH<sup>-</sup> $$\to$$ ...
Complete and balance the following equation:<br><br> Ag<sup>+</sup> + AsH<sub>3<...
Complete and balance the following equation:<br><br> Mn<sup>2+</sup> + PbO<sub>2...
Complete and balance the following equation:<br><br> $$ClO_3^-$$ + I<sup>-</sup>...
Arrange the following in increasing oxidation number of iodine.<br><br> I<sub>2<...
The electron density in the XY plane in 3d<sub>x<sup>2</sup> - y<sup>2</sup></su...
Rutherford's alpha particle scattering experiment eventually led to the conclusi...
Which one of the following sets of quantum numbers represents an impossible arra...
The ratio of the energy of a photon of 2000Å wavelength to that 4000Å radiation ...
The sum of the number of neutrons and proton in the isotope of hydrogen is
Arrange the following in:<br> Increasing size:<br> Cl<sup>-</sup>, S<sup>2-</sup...
The bond between two identical non-metal atoms has a pair of electrons
The hydrogen bond is strongest in
The hybridisation of sulphur in sulphur dioxide is
CO<sub>2</sub> is isostructural with
Write the lewis dot structure of the following:<br> O<sub>3</sub>, COCl<sub>2</s...
The rate of diffusion of gas is _______ proportional to both ________ and square...
The average velocity of an ideal gas molecule at 27<sup>o</sup>C is 0.3m/sec. Th...
The softness of group I-A metals increases down the group with increasing atomic...
The pair of compound which cannot exist together in solution is:
Give reasons of the following:<br> Hydrogen peroxide is a better oxidising agent...
The vapour pressure of ethanol and methanol are 44.5 and 88.7 mm Hg respectively...

Mathematics

Let $${z_1}$$ and $${z_2}$$ be complex numbers such that $${z_1}$$ $$ \ne $$ $...
The expression $$2\left[ {{{\sin }^6}\left( {{\pi \over 2} + \alpha } \right) +...
Show that the area of the triangle on the Argand diagram formed by the complex n...
If $$S$$ is the set of all real $$x$$ such that $${{2x - 1} \over {2{x^3} + 3{x^...
If $$a,\,b$$ and $$c$$ are distinct positive numbers, then the expression <br>$...
For $$a \le 0,$$ determine all real roots of the equation $$${x^2} - 2a\left| {...
If the quadratic equations $${x^2} + ax + b = 0$$ and $${x^2} + bx + a = 0$$ $$...
The solution of equation $${\log _7}\,{\log _5}\,\left( {\sqrt {x + 5} + \sqrt ...
If $${C_r}$$ stands for $${}^n{C_r},$$ then the sum of the series $${{2\left( ...
A box contains two white balls, three black balls and four red balls. In how man...
The solution of the equation $$lo{g_7}$$ $$lo{g_5}$$ $$\left( {\sqrt {x + 5} + ...
The points $$\left( {0,{8 \over 3}} \right),\,\,\left( {1,\,3} \right)$$ and $$\...
All points lying inside the triangle formed by the points $$\left( {1,\,3} \righ...
A vector $$\overline a $$ has components $$2p$$ and $$1$$ with respect to a rect...
From the point A(0, 3) on the circle $${x^2} + 4x + {(y - 3)^2} = 0$$, a chord A...
The equation of the line passing through the points of intersection of the circl...
Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle $$C_1$$ of diameter...
The derivative of $${\sec ^{ - 1}}\left( {{1 \over {2{x^2} - 1}}} \right)$$ with...
There exists a triangle $$ABC$$ satisfying the conditions
If in a triangle $$ABC$$, $$\cos A\cos B + \sin A\sin B\sin C = 1,$$ Show that $...
The principal value of $${\sin ^{ - 1}}\left( {\sin {{2\pi } \over 3}} \right)$$...
Let $$P\left( x \right) = {a_0} + {a_1}{x^2} + {a_2}{x^4} + ...... + {a_n}{x^{2n...
If the line $$ax+by+c=0$$ is a normal to the curve $$xy=1$$, then
Evaluate : $$\int\limits_0^\pi {{{x\,dx} \over {1 + \cos \,\alpha \,\sin x}},0 ...
If $${{1 + 3p} \over 3},\,\,\,{{1 - p} \over 4}$$ and $$\,{{1 - 2p} \over 2}$$ a...
A student appears for tests, $$I$$, $$II$$ and $$III$$. The student is successfu...
The probability that at least one of the events $$A$$ and $$B$$ occurs is $$0.6$...
A lot contains $$20$$ articles. The probability that the lot contains exactly $$...
Let $$\overrightarrow a = {a_1}i + {a_2}j + {a_3}k,\,\,\,\overrightarrow b = {...
The position vectors of the points $$A, B, C$$ and $$D$$ are $$3\widehat i - 2\w...

Physics

The dimensions of the quantities in one ( or more ) of the following pairs are t...
A reference frame attached to the earth
A simple pendulum of length L and mass (bob) M is oscillating in a plane about a...

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