IIT-JEE 1979

Paper was held on
Wed, Apr 11, 1979 9:00 AM

## Chemistry

The largest number of molecules is in

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2.76 g of silver carbonate on being strongly heated yields a residue weighing

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A gaseous mixture contains oxygen and nitrogen in the ratio of 1 : 4 by weight. Therefore the ratio of their no of molec

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The total number of electrons is one molecule of carbon dioxide is

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4.215 g of a metallic carbonate was heated in a hard glass tube and the CO2 evolved was found to measure 1336 ml at 27oC

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(a). 5.5 g of a mixture FeSO4.7H2O and Fe2(SO4)3.9H2O requires 5.4 ml of 0.1 N KMnO4 solution for complete oxidation. Ca

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5 ml of a gas containing only carbon and hydrogen were mixed with an excess of oxygen (30 ml) and the mixture exploded b

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In the analysis of 0.5 g sample feldspar, a mixture of chlorides of sodium and potassium is obtained which weighs 0.1180

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The number of neutrons in dipositive zinc ion with mass number 70 is

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The compound which contains both ionic and covalent bonds is

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The octet rule is not valid for the molecule

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Account for the following : Limit your answer to two
sentences.
"Atomic weights of most of the elements are fractional."

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A white amorphous powder (A) on heating yields a
colourless, non-combustible gas (B) and a solid (C).
The latter compoun

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The precipitation of second group sulphides in qualitative
analysis is carried out with hydrogen sulphide in the presenc

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## Mathematics

If $$\tan \theta = - {4 \over 3},then\sin \theta \,is\,$$

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If $$\alpha + \beta + \gamma = 2\pi ,$$ then

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If the cube roots of unity are $$1,\,\omega ,\,{\omega ^2},$$ then the roots of the equation $${\left( {x - 1} \right)^3

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If x + iy = $$\sqrt {{{a + ib} \over {c + id}}} $$, prove that $${({x^2} + {y^2})^2} = {{{a^2} + {b^2}} \over {{c^2} + {

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(a) Draw the graph of $$y = {1 \over {\sqrt 2 }}\left( {cinx + \cos x} \right)$$ from $$x = - {\pi \over 2}$$ to $$x =

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If $$\alpha ,\,\beta $$ are the roots of $${x^2} + px + q = 0$$ and $$\gamma ,\,\delta $$ are the roots of $${x^2} + rx

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The equation x + 2y + 2z = 1 and 2x + 4y + 4z = 9 have

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If x, y and z are real and different and $$\,u = {x^2} + 4{y^2} + 9{z^2} - 6yz - 3zx - 2xy$$, then u is always.

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Let a > 0, b > 0 and c > 0. Then the roots of the equation $$a{x^2} + bx + c = 0$$

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If $$\ell $$, m, n are real, $$\ell \ne m$$, then the roots by the equation :
$$(\ell - m)\,{x^2} - 5\,(\ell + m)\,x

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Given that $${C_1} + 2{C_2}x + 3{C_3}{x^2} + ......... + 2n{C_{2n}}{x^{2n - 1}} = 2n{\left( {1 + x} \right)^{2n - 1}}$$

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$${}^n{C_{r - 1}} = 36,{}^n{C_r} = 84\,\,and\,\,{}^n{C_{r + 1}} = 126$$, then r is :

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The harmonic mean of two numbers is 4.Their arithmetic mean $$A$$ and the geometric mean $$G$$ satisfy the relation. $$2

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The points $$\left( { - a,\, - b} \right),\,\left( {0,\,0} \right),\,\left( {a,\,b} \right)$$ and $$\left( {{a^2},\,ab}

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(a) Two vertices of a triangle are $$(5, -1)$$ and $$(-2, 3).$$ If the orthocentre of the triangle is the origin, find t

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Find the derivative of
$$$f\left( x \right) = \left\{ {\matrix{
{{{x - 1} \over {2{x^2} - 7x + 5}}} & {when\,\,x

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If the bisector of the angle $$P$$ of a triangle $$PQR$$ meets $$QR$$ in $$S$$, then

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(a) If a circle is inscribed in a right angled triangle $$ABC$$ with the right angle at $$B$$, show that the diameter of

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(a) A balloon is observed simultaneously from three points $$A, B$$ and $$C$$ on a straight road directly beneath it. Th

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Prove that the minimum value of $${{\left( {a + x} \right)\left( {b + x} \right)} \over {\left( {c + x} \right)}},$$
$$a

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Evaluate $$\int {{{{x^2}dx} \over {{{\left( {a + bx} \right)}^2}}}} $$

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Two fair dice are tossed. Let $$x$$ be the event that the first die shows an even number and $$y$$ be the event that the

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Six boys and six girls sit in a row randomly. Find the probability that
(i) the six girls sit together
(ii) the boys a

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## Physics

The dispalcement x of particle moving in one direction, under the action of a constant force is related to the time t by

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Answer the following giving reason in brief:
Is the time variation of position, shown in the figure observed in nature?

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