IIT-JEE 1994
Paper was held on Mon, Apr 11, 1994 9:00 AM
View Questions

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
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12