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## IIT-JEE 1994

Exam Held on Mon Apr 11 1994 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## Chemistry

The compound YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7</sub>, which shows supercondu...
The composition of a sample of Wustite is Fe<sub>0.93</sub>O<sub>1.00</sub> what...
8.0575 $$\times$$ 10<sup>-2</sup> kg of Glauber's salt is dissolved in water to ...
The outermost electronic configuration of Cr is _______.
Find out the number of waves made by a Bohr electron in once complete revolution...
The two types of bond present in B<sub>2</sub>H<sub>6</sub> are covalent and ___...
Using the VSEPR theory, identify the type of hybridization and draw the structur...
An LPG (liquefied petroleum gas) cylinder weighs 14.8 kg when empty. When full, ...
A 4 : 1 molar mixture of He and CH<sub>4</sub> is contained in a vessel at 20 ba...
Complete and balance the following reactions:<br> Ca<sub>5</sub>(PO<sub>4</sub>)...
<b>Statement (S)</b> The alkali metals can form ionic hydrides which contain the...
The Edison storage cells is represented as<br> Fe(s) | FeO(s) | KOH (aq) | Ni<su...
The standard reduction potential of the Ag<sup>+</sup>/Ag electrode at 298 K is ...

## Mathematics

Let $$0 &lt; x &lt; {\pi \over 4}$$ then $$\left( {\sec 2x - \tan 2x} \right)$$...
Let $$n$$ be a positive integer such that $$\sin {\pi \over {2n}} + \cos {\pi ... If$$\omega \,$$is an imaginary cube root of unity then the value of$$\sin \le...
Suppose Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub> are the vertices of an equil...
Let $$2{\sin ^2}x + 3\sin x - 2 &gt; 0$$ and $${x^2} - x - 2 &lt; 0$$ ($$x$$ is ...
The number of points of intersection of two curves y = 2 sin x and y $$= 5{x^2}... If p, q, r are + ve and are on A.P., the roots of quadratic equation$$p{x^2} + ...
Let $$p,q \in \left\{ {1,2,3,4} \right\}\,$$. The number of equations of the for...
Let $$n$$ be positive integer. If the coefficients of 2nd, 3rd, and 4th terms in...
If $$x$$ is not an integral multiple of $$2\pi$$ use mathematical induction to ...
Let $$n$$ be a positive integer and $${\left( {1 + x + {x^2}} \right)^n} = {a_0}... A committee of 12 is to be formed from 9 women and 8 men. In how many ways this ... If$$In\left( {a + c} \right),In\left( {a - c} \right),In\left( {a - 2b + c} \ri...
The locus of a variable point whose distance from $$\left( { - 2,\,0} \right)$$...
The equations to a pair of opposites sides of parallelogram are $${x^2} - 5x + 6... The circles$${x^2} + {y^2} - 10x + 16 = 0$$and$${x^2} + {y^2} = {r^2}$$inter... The point of intersection of the tangents at the ends of the latus rectum of the... The equation$$2{x^2} + 3{y^2} - 8x - 18y + 35 = k$$represents Let$$E$$be the ellipse$${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$and$$C$$... Through the vertex$$O$$of parabola$${y^2} = 4x$$, chords$$OP$$and$$OQ$$ar... If$$y = {\left( {\sin x} \right)^{\tan x}},$$then$${{dy} \over {dx}}$$is equ... In a triangle$$ABC$$,$$AD$$is the altitude from$$A$$. Given$$b&gt;c$$,$$\a...
A circle is inscribed in an equilateral triangle of side $$a$$. The area of any...
If the lengths of the sides of triangle are $$3, 5, 7$$ then the largest angle o...
Let $${A_1},{A_2},........,{A_n}$$ be the vertices of an $$n$$-sided regular pol...
Consider the following statements connecting a triangle $$ABC$$ <p>(i) The side...
A tower $$AB$$ leans towards west making an angle $$\alpha$$ with the vertical....
If we consider only the principle values of the inverse trigonometric functions ...
Let $$C$$ be the curve $${y^3} - 3xy + 2 = 0$$. If $$H$$ is the set of points on...
Let $$P$$ be a variable point on the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}... The function defined by$$f\left( x \right) = \left( {x + 2} \right){e^{ - x}}$$... Which one of the following curves cut the parabola$${y^2} = 4ax$$at right angl... The curve$$y = a{x^3} + b{x^2} + cx + 5$$, touches the$$x$$-axis at$$P(-2, 0)...
The circle $${x^2} + {y^2} = 1$$ cuts the $$x$$-axis at $$P$$ and $$Q$$. Another...
Find the indefinite integral $$\,\int {\cos 2\theta {\mkern 1mu} ln\left( {{{\co... The value of$$\int\limits_2^3 {{{\sqrt x } \over {\sqrt {3 - x} + \sqrt x }}} ...
Show that $$\int\limits_0^{n\pi + v} {\left| {\sin x} \right|dx = 2n + 1 - \cos... In what ratio does the$$x$$-axis divide the area of the region <br>bounded by ... A normal is drawn at a point$$P(x,y)$$of a curve. It meets the$$x$$-axis at ... If two events$$A$$and$$B$$are such that$$P\,\,\left( {{A^c}} \right)\,\, = ...
Let $$A, B, C$$ be three mutually independent events. Consider the two statement...
An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is ...
A unit vector perpendicular to the plane determined by the points $$P\left( {1, ... Let$$\overrightarrow p $$and$$\overrightarrow q $$be the position vectors of... Let$$\alpha ,\beta ,\gamma $$be distinct real numbers. The points with positio... The vector$$\,{1 \over 3}\left( {2\widehat i - 2\widehat j + \widehat k} \right...
If the vectors $$\overrightarrow b ,\overrightarrow c ,\overrightarrow d ,$$ are...

## Physics

A block of mass 0.1 is held against a wall applying a horizontal force of 5 N on...
A particle of mass m is moving in a circular path of constant radius r such that...
An object of mass 0.2 kg executes simple harmonic oscillation along the x-axis w...

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