IIT-JEE 1994

Paper was held on
Mon, Apr 11, 1994 9:00 AM

## Chemistry

The compound YBa2Cu3O7, which shows superconductivity, has copper in oxidation state ______ assume that the rare earth

View Question The composition of a sample of Wustite is Fe0.93O1.00 what percentage of the iron is present in the form of Fe(III)?

View Question 8.0575 $$\times$$ 10-2 kg of Glauber's salt is dissolved in water to obtain 1 dm3 of a solution of density 1077.2 kg.m-3

View Question The outermost electronic configuration of Cr is _______.

View Question Find out the number of waves made by a Bohr electron in once complete revolution in its 3rd orbit?

View Question The two types of bond present in B2H6 are covalent and _______.

View Question Using the VSEPR theory, identify the type of hybridization and draw the structure of OF2. What are the oxidation states

View Question An LPG (liquefied petroleum gas) cylinder weighs 14.8 kg when empty. When full, it weighs 29.0 kg and shows a pressure o

View Question A 4 : 1 molar mixture of He and CH4 is contained in a vessel at 20 bar pressure. Due to a hole in the vessel the gas mix

View Question Complete and balance the following reactions:
Ca5(PO4)3F + H2SO4 + H2O $$\buildrel {Heat} \over
\longrightarrow $$ ....

View Question Statement (S) The alkali metals can form ionic hydrides which contain the hydride ion H-.
Explanation (E) The alkali met

View Question The IUPAC name of succinic acid is _______.

View Question The Edison storage cells is represented as
Fe(s) | FeO(s) | KOH (aq) | Ni2O3(s) | Ni(s)
The half-cell reactions are:
Ni2

View Question The standard reduction potential of the Ag+/Ag electrode at 298 K is 0.799V. Given that for AgI, Ksp = 8.7 $$\times$$ 10

View Question A is binary compound of a univalent metal. 1.422 g of A
reacts completely with 0.321 g of sulphur in an evacuated
and se

View Question ## Mathematics

Let $$0 < x < {\pi \over 4}$$ then $$\left( {\sec 2x - \tan 2x} \right)$$ equals

View Question Let $$n$$ be a positive integer such that $$\sin {\pi \over {2n}} + \cos {\pi \over {2n}} = {{\sqrt n } \over 2}.$$ T

View Question If $$\omega \,$$ is an imaginary cube root of unity then the value of $$\sin \left\{ {\left( {{\omega ^{10}} + {\omega ^

View Question Suppose Z1, Z2, Z3 are the vertices of an equilateral triangle inscribed in the circle $$\left| Z \right| = 2.$$ If Z1 =

View Question Let $$2{\sin ^2}x + 3\sin x - 2 > 0$$ and $${x^2} - x - 2 < 0$$ ($$x$$ is measured in radians). Then $$x$$ lies in

View Question The number of points of intersection of two curves y = 2 sin x and y $$ = 5{x^2} + 2x + 3$$ is

View Question If p, q, r are + ve and are on A.P., the roots of quadratic equation $$p{x^2} + qx + r = 0$$ are all real for

View Question Let $$p,q \in \left\{ {1,2,3,4} \right\}\,$$. The number of equations of the form $$p{x^2} + qx + 1 = 0$$ having real ro

View Question Let $$n$$ be positive integer. If the coefficients of 2nd, 3rd, and 4th terms in the expansion of $${\left( {1 + x} \rig

View Question If $$x$$ is not an integral multiple of $$2\pi $$ use mathematical induction to prove that :
$$$\cos x + \cos 2x + ....

View Question Let $$n$$ be a positive integer and $${\left( {1 + x + {x^2}} \right)^n} = {a_0} + {a_1}x + ............ + {a_{2n}}{x^{2

View Question A committee of 12 is to be formed from 9 women and 8 men. In how many ways this can be done if at least five women have

View Question If $$In\left( {a + c} \right),In\left( {a - c} \right),In\left( {a - 2b + c} \right)$$ are in A.P., then

View Question The locus of a variable point whose distance from $$\left( { - 2,\,0} \right)$$ is $$2/3$$ times its distance from the

View Question The equations to a pair of opposites sides of parallelogram are $${x^2} - 5x + 6 = 0$$ and $${y^2} - 6y + 5 = 0,$$ the e

View Question The circles $${x^2} + {y^2} - 10x + 16 = 0$$ and $${x^2} + {y^2} = {r^2}$$ intersect each other in two distinct points i

View Question The point of intersection of the tangents at the ends of the latus rectum of the parabola $${y^2} = 4x$$ is ...... .

View Question The equation $$2{x^2} + 3{y^2} - 8x - 18y + 35 = k$$ represents

View Question Let $$E$$ be the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ and $$C$$ be the circle $${x^2} + {y^2} = 9$$. Le

View Question Through the vertex $$O$$ of parabola $${y^2} = 4x$$, chords $$OP$$ and $$OQ$$ are drawn at right angles to one another .

View Question If $$y = {\left( {\sin x} \right)^{\tan x}},$$ then $${{dy} \over {dx}}$$ is equal to

View Question In a triangle $$ABC$$, $$AD$$ is the altitude from $$A$$. Given $$b>c$$, $$\angle C = {23^ \circ }$$ and $$AD = {{abc

View Question A circle is inscribed in an equilateral triangle of side $$a$$. The area of any square inscribed in this circle is ....

View Question If the lengths of the sides of triangle are $$3, 5, 7$$ then the largest angle of the triangle is

View Question Let $${A_1},{A_2},........,{A_n}$$ be the vertices of an $$n$$-sided regular polygon such that $${1 \over {{A_1}{A_2}}}

View Question Consider the following statements connecting a triangle $$ABC$$
(i) The sides $$a, b, c$$ and area $$\Delta $$ are rati

View Question A tower $$AB$$ leans towards west making an angle $$\alpha $$ with the vertical. The angular elevation of $$B$$, the top

View Question If we consider only the principle values of the inverse trigonometric functions then the value of
$$\tan \left( {{{\cos

View Question Let $$C$$ be the curve $${y^3} - 3xy + 2 = 0$$. If $$H$$ is the set of points on the curve $$C$$ where the tangent is ho

View Question Let $$P$$ be a variable point on the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ with foci $${F_1}

View Question The function defined by $$f\left( x \right) = \left( {x + 2} \right){e^{ - x}}$$

View Question Which one of the following curves cut the parabola $${y^2} = 4ax$$ at right angles?

View Question The curve $$y = a{x^3} + b{x^2} + cx + 5$$, touches the $$x$$-axis at $$P(-2, 0)$$ and cuts the $$y$$ axis at a point $$

View Question The circle $${x^2} + {y^2} = 1$$ cuts the $$x$$-axis at $$P$$ and $$Q$$. Another circle with centre at $$Q$$ and variabl

View Question Find the indefinite integral $$\,\int {\cos 2\theta {\mkern 1mu} ln\left( {{{\cos \theta + \sin \theta } \over {\cos \t

View Question The value of $$\int\limits_2^3 {{{\sqrt x } \over {\sqrt {3 - x} + \sqrt x }}} dx$$ is ...........

View Question Show that $$\int\limits_0^{n\pi + v} {\left| {\sin x} \right|dx = 2n + 1 - \cos \,v} $$ where $$n$$ is a positive integ

View Question In what ratio does the $$x$$-axis divide the area of the region
bounded by the parabolas $$y = 4x - {x^2}$$ and $$y = {

View Question A normal is drawn at a point $$P(x,y)$$ of a curve. It meets the $$x$$-axis at $$Q.$$ If $$PQ$$ is of constant length $$

View Question If two events $$A$$ and $$B$$ are such that $$P\,\,\left( {{A^c}} \right)\,\, = \,\,0.3,\,\,P\left( B \right) = 0.4$$ an

View Question Let $$A, B, C$$ be three mutually independent events. Consider the two statements $${S_1}$$ and $${S_2}$$
$${S_1}\,:\,A$

View Question An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding

View Question A unit vector perpendicular to the plane determined by the points $$P\left( {1, - 1,2} \right)Q\left( {2,0, - 1} \right)

View Question Let $$\overrightarrow p $$ and $$\overrightarrow q $$ be the position vectors of $$P$$ and $$Q$$ respectively, with resp

View Question Let $$\alpha ,\beta ,\gamma $$ be distinct real numbers. The points with position
vectors $$\alpha \widehat i + \beta \

View Question The vector $$\,{1 \over 3}\left( {2\widehat i - 2\widehat j + \widehat k} \right)$$ is

View Question If the vectors $$\overrightarrow b ,\overrightarrow c ,\overrightarrow d ,$$ are not coplanar, then prove that the vecto

View Question ## Physics

A block of mass 0.1 is held against a wall applying a horizontal force of 5 N on the block. If the coefficient of fricti

View Question A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration $${a_c}$$

View Question An object of mass 0.2 kg executes simple harmonic oscillation along the x-axis with a frequency of $$\left( {{{25} \over

View Question