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IIT-JEE 1979

Exam Held on Wed Apr 11 1979 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The largest number of molecules is in
2.76 g of silver carbonate on being strongly heated yields a residue weighing
A gaseous mixture contains oxygen and nitrogen in the ratio of 1 : 4 by weight. ...
The total number of electrons is one molecule of carbon dioxide is
4.215 g of a metallic carbonate was heated in a hard glass tube and the CO<sub>2...
<b>(a)</b>. 5.5 g of a mixture FeSO<sub>4</sub>.7H<sub>2</sub>O and Fe<sub>2</su...
5 ml of a gas containing only carbon and hydrogen were mixed with an excess of o...
In the analysis of 0.5 g sample feldspar, a mixture of chlorides of sodium and p...
The number of neutrons in dipositive zinc ion with mass number 70 is
The compound which contains both ionic and covalent bonds is
The octet rule is not valid for the molecule

Mathematics

If $$\tan \theta = - {4 \over 3},then\sin \theta \,is\,$$
If $$\alpha + \beta + \gamma = 2\pi ,$$ then
If the cube roots of unity are $$1,\,\omega ,\,{\omega ^2},$$ then the roots of ...
If x + iy = $$\sqrt {{{a + ib} \over {c + id}}}$$, prove that $${({x^2} + {y^2}... (a) Draw the graph of$$y = {1 \over {\sqrt 2 }}\left( {cinx + \cos x} \right)$$... If$$\alpha ,\,\beta $$are the roots of$${x^2} + px + q = 0$$and$$\gamma ,\,...
The equation x + 2y + 2z = 1 and 2x + 4y + 4z = 9 have
If x, y and z are real and different and $$\,u = {x^2} + 4{y^2} + 9{z^2} - 6yz -... Let a &gt; 0, b &gt; 0 and c &gt; 0. Then the roots of the equation$$a{x^2} + b...
If $$\ell$$, m, n are real, $$\ell \ne m$$, then the roots by the equation : <...
Given that $${C_1} + 2{C_2}x + 3{C_3}{x^2} + ......... + 2n{C_{2n}}{x^{2n - 1}} ...$${}^n{C_{r - 1}} = 36,{}^n{C_r} = 84\,\,and\,\,{}^n{C_{r + 1}} = 126$$, then r ... The harmonic mean of two numbers is 4.Their arithmetic mean$$A$$and the geomet... The points$$\left( { - a,\, - b} \right),\,\left( {0,\,0} \right),\,\left( {a,\...
(a) Two vertices of a triangle are $$(5, -1)$$ and $$(-2, 3).$$ If the orthocent...
Find the derivative of $$f\left( x \right) = \left\{ {\matrix{ {{{x - 1} \o... If the bisector of the angle$$P$$of a triangle$$PQR$$meets$$QR$$in$$S$$, ... (a) If a circle is inscribed in a right angled triangle$$ABC$$with the right a... (a) A balloon is observed simultaneously from three points$$A, B$$and$$C$$on... Prove that the minimum value of$${{\left( {a + x} \right)\left( {b + x} \right)...
Evaluate $$\int {{{{x^2}dx} \over {{{\left( {a + bx} \right)}^2}}}}$$
Two fair dice are tossed. Let $$x$$ be the event that the first die shows an eve...
Six boys and six girls sit in a row randomly. Find the probability that <br>(i)...

Physics

The dispalcement x of particle moving in one direction, under the action of a co...
Answer the following giving reason in brief: <p>Is the time variation of positio...

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