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IIT-JEE 1989

Exam Held on Tue Apr 11 1989 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

An equal volume of a reducing agent is titrated separately with 1M KMnO<sub>4</s...
The correct set of quantum numbers for the unpaired electron of chlorine atom is...
The correct ground state electronic configuration of chromium atom is
Which one of the following is the smallest in size?
Which one of the following is the strongest base?
Sodium sulphate is soluble in water whereas barium sulphate is sparingly soluble...
The molecule which has zero dipole moment is:
The molecule which has pyramidal shape is
The compound in which $$\mathop C\limits^* $$ uses its sp<sup>3</sup> hybrid orb...
Which of the following is paramagnetic?
Eight gram each of oxygen and hydrogen at 27<sup>o</sup>C will have the total ki...
The electrolysis of molten sodium hydride liberates ____ gas at the _____
Write down the balanced equation for the reaction when:<br> Potassium ferricyani...
The vapour pressure of a dilute aqueous solution of glucose (C<sub>6</sub>H<sub>...

Mathematics

The general solutions of $$\,\sin x - 3\sin 2x + \sin 3x = \cos x - 3\cos 2x + \...
If $$a,\,b,\,c,$$ are the numbers between 0 and 1 such that the ponts $${z_1} = ...
The equation $${x^{3/4{{\left( {{{\log }_2}\,\,x} \right)}^2} + {{\log }_2}\,\,x...
If x and y are positive real numbers and m, n are any positive integers, then $$...
If $$\alpha $$ and $$\beta $$ are the roots of $${x^2}$$+ px + q = 0 and $${\alp...
Let a, b, c be real numbers, $$a \ne 0$$. If $$\alpha \,$$ is a root of $${a^2}{...
A five-digit numbers divisible by 3 is to be formed using the numerals 0, 1, 2, ...
Using mathematical induction, prove that $${}^m{C_0}{}^n{C_k} + {}^m{C_1}{}^n{C_...
Prove that <br> $${C_0} - {2^2}{C_1} + {3^2}{C_2}\,\, - \,..... + {\left( { - 1...
Let $$ABC$$ be a triangle with $$AB = AC$$. If $$D$$ is the midpoint of $$BC, E$...
The line x + 3y = 0 is a diameter of the circle $${x^2} + {y^2} - 6x + 2y = 0\,$...
The area of the triangle formed by the positive x-axis and the normal and the ta...
If the two circles $${(x - 1)^2} + {(y - 3)^2} = {r^2}$$ and $${x^2} + {y^2} - 8...
The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle of area 154 sq. ...
If $$\left( {{m_i},{1 \over {{m_i}}}} \right),\,{m_i}\, &gt; \,0,\,i\, = 1,\,2,\...
If $$x = \sec \theta - \cos \theta $$ and $$y = {\sec ^n}\theta - {\cos ^n}\th...
$$ABC$$ is a triangular park with $$AB=AC=100$$ $$m$$. A television tower stands...
The greater of the two angles $$A = 2{\tan ^{ - 1}}\left( {2\sqrt 2 - 1} \right...
Find all maxima and minima of the function $$$y = x{\left( {x - 1} \right)^2},0...
Evaluate $$\int {\left( {\sqrt {\tan x} + \sqrt {\cot x} } \right)dx} $$
The value of $$\int\limits_{ - 2}^2 {\left| {1 - {x^2}} \right|dx} $$ is ..........
If $$f$$ and $$g$$ are continuous function on $$\left[ {0,a} \right]$$ satisfyin...
A pair of fair dice is rolled together till a sum of either $$5$$ or $$7$$ is ob...
If the probability for $$A$$ to fail in an examination is $$0.2$$ and that for $...
If $$E$$ and $$F$$ are independent events such that $$0 &lt; P\left( E \right) &...
Suppose the probability for A to win a game against B is $$0.4.$$ If $$A$$ has a...
For any three vectors $${\overrightarrow a ,\,\overrightarrow b ,}$$ and $${\ove...
If vectors $$\overrightarrow A ,\overrightarrow B ,\overrightarrow C $$ are copl...
In a triangle $$OAB,E$$ is the midpoint of $$BO$$ and $$D$$ is a point on $$AB$$...

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