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IIT-JEE 1991

Exam Held on Thu Apr 11 1991 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The weight of $$1 \times 10^{22}$$ molecules of CuSO<sub>4</sub>.5H<sub>2</sub>O...
The oxidation state of the most electronegative element in the products of the r...
A 1.0 g sample of Fe<sub>2</sub>O<sub>3</sub> solid of 55.2% purity is dissolved...
A solution of 0.2 g of a compound containing Cu<sup>2+</sup> and $$C_2O_4^{2-}$$...
Read the following statement and explanation and answer as per the options given...
Arrange of the following in :<br> Increasing order of ionic size:<br> N<sup>3-</...
Arrange of the following in :<br> Increasing order of basic character<br> MgO, ...
Arrange of the following in :<br> Arrange the following ions in order of their ...
The linear structure is assumed by
Arrange the following :<br><br> Increasing strength of hydrogen bonding (X-H-X):...
Calculate the volume occupied by 5.0 g of acetylene gas at 50<sup>o</sup>C and 7...
The volume strength of 1.5 N H<sub>2</sub>O<sub>2</sub> solution is
Write down the balanced equation for the reaction when:<br> Carbon dioxide is pa...
The degree of dissociation of calcium nitrate in a dilute aqueous solution, cont...
Zinc granules are added in excess to a 500 ml. of 1.0 M nickel nitrate solution ...
The current of 1.70 A is passed through 300.0 ml of 0.160 M solution of a ZnSO<s...
The decomposition of N<sub>2</sub>O<sub>5</sub> according to the equation:<br> 2...

Mathematics

The value of <br>$$\sin {\pi \over {14}}\sin {{3\pi } \over {14}}\sin {{5\pi }...
If $$\exp \,\,\,\left\{ {\left( {\left( {{{\sin }^2}x + {{\sin }^4}x + {{\sin }^...
The product of $$n$$ positive numbers is unity. Then their sum is
Using induction or otherwise, prove that for any non-negative integers $$m$$, $$...
Eighteen guests have to be seated, half on each side of a long table. Four parti...
Let p be the first of the n arithmetic means between two numbers and q the first...
If $${S_1}$$, $${S_2}$$, $${S_3}$$,.............,$${S_n}$$ are the sums of infin...
Let the algebraic sum of the perpendicular distances from the points $$\left( {2...
Show that all chords of the curve $$3{x^2} - {y^2} - 2x + 4y = 0,$$ which subten...
If a circle passes through the points of intersection of the coordinate axes wit...
Find the equation of the line passing through the point $$(2, 3)$$ and making in...
Two circles, each of radius 5 units, touch each other at (1, 2). If the equation...
Three normals are drawn from the point $$(c, 0)$$ to the curve $${y^2} = x.$$ Sh...
Find $${{{dy} \over {dx}}}$$ at $$x=-1$$, when <br>$${\left( {\sin y} \right)^{...
A man notices two objects in a straight line due west. After walking a distance ...
In a triangle of base a the ratio of the other two sides is $$r\left( { &lt; 1} ...
The sides of a triangle are three consecutive natural numbers and its largest an...
A window of perimeter $$P$$ (including the base of the arch) is in the form of a...
Sketch the curves and identify the region bounded by <br>$$x = {1 \over 2},x = ...
Evaluate $$\,\int\limits_0^\pi {{{x\,\sin \,2x\,\sin \left( {{\pi \over 2}\cos...
If $$'f$$ is a continuous function with $$\int\limits_0^x {f\left( t \right)dt \...
If the mean and the variance of binomial variate $$X$$ are $$2$$ and $$1$$ respe...
For any two events $$A$$ and $$B$$ in a simple space
In a test an examine either guesses or copies or knows the answer to a multiple ...
Given that $$\overrightarrow a = \left( {1,1,1} \right),\,\,\overrightarrow c ...
Determine the value of $$'c'$$ so that for all real $$x,$$ the vector <br>$$cx\...

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