IIT-JEE 2007
Paper was held on Wed, Apr 11, 2007 9:00 AM
View Questions

Chemistry

The species having bond order different from that in CO is
View Question
Among the following the paramagnetic compound is
View Question
The question contains STATEMENT - 1 (Assertion) and STATEMENT - 2 (Reason) and has 4 choices (a), (b), (c) and (d) out o
View Question

Mathematics

A man walks a distance of 3 units from the origin towards the north-east ($$N\,{45^ \circ E }$$) direction. From there,
View Question
If $$\left| z \right|\, =1\,and\,z\, \ne \, \pm \,1,$$ then all the values of $${z \over {1 - {z^2}}}$$ lie on
View Question
The number of solutions of the pair of equations $$$\,2{\sin ^2}\theta - \cos 2\theta = 0$$$ $$$2co{s^2}\theta - 3\si
View Question
Let $$\alpha ,\,\beta $$ be the roots of the equation $${x^2} - px + r = 0$$ and $${\alpha \over 2},\,2\beta $$ be the
View Question
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an Engl
View Question
Let $$\,{V_r}$$ denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common
View Question
Let $$\,{V_r}$$ denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common
View Question
Let $${A_1}$$, $${G_1}$$, $${H_1}$$ denote the arithmetic, geometric and harmonic means, respectively, of two distinct p
View Question
Let $${A_1}$$, $${G_1}$$, $${H_1}$$ denote the arithmetic, geometric and harmonic means, respectively, of two distinct p
View Question
Let $$\,{V_r}$$ denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common
View Question
Let $${A_1}$$, $${G_1}$$, $${H_1}$$ denote the arithmetic, geometric and harmonic means, respectively, of two distinct p
View Question
Let $$O\left( {0,0} \right),P\left( {3,4} \right),Q\left( {6,0} \right)$$ be the vertices of the triangles $$OPQ$$. The
View Question
The lines $${L_1}:y - x = 0$$ and $${L_2}:2x + y = 0$$ intersect the line $${L_3}:y + 2 = 0$$ at $$P$$ and $$Q$$ respect
View Question
A hyperbola, having the transverse axis of length $$2\sin \theta ,$$ is confocal with the ellipse $$3{x^2} + 4{y^2} = 12
View Question
Match the statements in Column $$I$$ with the properties in Column $$II$$ and indicate your answer by darkening the appr
View Question
Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the firs
View Question
Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the firs
View Question
Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the firs
View Question
STATEMENT-1: The curve $$y = {{ - {x^2}} \over 2} + x + 1$$ is symmetric with respect to the line $$x=1$$. because STATE
View Question
$${{{d^2}x} \over {d{y^2}}}$$ equals
View Question
Let $$\,\,\,$$$$f\left( x \right) = 2 + \cos x$$ for all real $$X$$. STATEMENT - 1: for eachreal $$t$$, there exists a
View Question
Let $$ABCD$$ be a quadrilateral with area $$18$$, with side $$AB$$ parallel to the side $$CD$$ and $$2AB=CD$$. Let $$AD$
View Question
Let $$(x, y)$$ be such that $${\sin ^{ - 1}}\left( {ax} \right) + {\cos ^{ - 1}}\left( y \right) + {\cos ^{ - 1}}\left(
View Question
The tangent to the curve $$y = {e^x}$$ drawn at the point $$\left( {c,{e^c}} \right)$$ intersects the line joining the
View Question
If a continuous function $$f$$ defined on the real line $$R$$, assumes positive and negative values in $$R$$ then the eq
View Question
If a continuous function $$f$$ defined on the real line $$R$$, assumes positive and negative values in $$R$$ then the eq
View Question
If a continuous function $$f$$ defined on the real line $$R$$, assumes positive and negative values in $$R$$ then the eq
View Question
Let $$F(x)$$ be an indefinite integral of $$si{n^2}x.$$ STATEMENT-1: The function $$F(x)$$ satisfies $$F\left( {x + \pi
View Question
Match the integrals in Column $$I$$ with the values in Column $$II$$ and indicate your answer by darkening the appropria
View Question
One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional
View Question
Let $${H_1},{H_2},....,{H_n}$$ be mutually exclusive and exhaustive events with $$P\left( {{H_1}} \right) > 0,i = 1,2
View Question
The minimum of distinct real values of $$\lambda ,$$ for which the vectors $$ - {\lambda ^2}\widehat i + \widehat j + \w
View Question
Let $$\overrightarrow a \,,\,\overrightarrow b ,\overrightarrow c $$ be unit vectors such that $${\overrightarrow a +
View Question
Consider the following linear equations $$ax+by+cz=0;$$ $$\,\,\,$$ $$bx+cy+az=0;$$ $$\,\,\,$$ $$cx+ay+bz=0$$ Match the
View Question
Consider the planes $$3x-6y-2z=15$$ and $$2x+y-2z=5.$$ STATEMENT-1: The parametric equations of the line of intersectio
View Question
Let the vectors $$\overrightarrow {PQ} ,\,\,\overrightarrow {QR} ,\,\,\overrightarrow {RS} ,\,\,\overrightarrow {ST} ,\,
View Question

Physics

Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are
View Question
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12