IIT-JEE 2007

Paper was held on
Wed, Apr 11, 2007 9:00 AM

## Chemistry

The species having bond order different from that in CO is

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Among the following the paramagnetic compound is

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The question contains STATEMENT - 1 (Assertion) and STATEMENT - 2 (Reason) and has 4 choices (a), (b), (c) and (d) out o

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## Mathematics

A man walks a distance of 3 units from the origin towards the north-east ($$N\,{45^ \circ E }$$) direction. From there,

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If $$\left| z \right|\, =1\,and\,z\, \ne \, \pm \,1,$$ then all the values of $${z \over {1 - {z^2}}}$$ lie on

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The number of solutions of the pair of equations
$$$\,2{\sin ^2}\theta - \cos 2\theta = 0$$$
$$$2co{s^2}\theta - 3\si

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Let $$\alpha ,\,\beta $$ be the roots of the equation $${x^2} - px + r = 0$$ and $${\alpha \over 2},\,2\beta $$ be the

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The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an Engl

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Let $$\,{V_r}$$ denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common

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Let $$\,{V_r}$$ denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common

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Let $${A_1}$$, $${G_1}$$, $${H_1}$$ denote the arithmetic, geometric and harmonic means, respectively, of two distinct p

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Let $${A_1}$$, $${G_1}$$, $${H_1}$$ denote the arithmetic, geometric and harmonic means, respectively, of two distinct p

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Let $$\,{V_r}$$ denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common

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Let $${A_1}$$, $${G_1}$$, $${H_1}$$ denote the arithmetic, geometric and harmonic means, respectively, of two distinct p

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Let $$O\left( {0,0} \right),P\left( {3,4} \right),Q\left( {6,0} \right)$$ be the vertices of the triangles $$OPQ$$. The

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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

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A hyperbola, having the transverse axis of length $$2\sin \theta ,$$ is confocal with the ellipse $$3{x^2} + 4{y^2} = 12

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Match the statements in Column $$I$$ with the properties in Column $$II$$ and indicate your answer by darkening the appr

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Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the firs

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Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the firs

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Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the firs

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STATEMENT-1: The curve $$y = {{ - {x^2}} \over 2} + x + 1$$ is symmetric with respect to the line $$x=1$$. because
STATE

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$${{{d^2}x} \over {d{y^2}}}$$ equals

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Let $$\,\,\,$$$$f\left( x \right) = 2 + \cos x$$ for all real $$X$$.
STATEMENT - 1: for eachreal $$t$$, there exists a

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Let $$ABCD$$ be a quadrilateral with area $$18$$, with side $$AB$$ parallel to the side $$CD$$ and $$2AB=CD$$. Let $$AD$

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Let $$(x, y)$$ be such that $${\sin ^{ - 1}}\left( {ax} \right) + {\cos ^{ - 1}}\left( y \right) + {\cos ^{ - 1}}\left(

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The tangent to the curve $$y = {e^x}$$ drawn at the point $$\left( {c,{e^c}} \right)$$ intersects the line joining the

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If a continuous function $$f$$ defined on the real line $$R$$, assumes positive and negative values in $$R$$ then the eq

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If a continuous function $$f$$ defined on the real line $$R$$, assumes positive and negative values in $$R$$ then the eq

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If a continuous function $$f$$ defined on the real line $$R$$, assumes positive and negative values in $$R$$ then the eq

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Let $$F(x)$$ be an indefinite integral of $$si{n^2}x.$$
STATEMENT-1: The function $$F(x)$$ satisfies $$F\left( {x + \pi

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Match the integrals in Column $$I$$ with the values in Column $$II$$ and indicate your answer by darkening the appropria

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One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional

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Let $${H_1},{H_2},....,{H_n}$$ be mutually exclusive and exhaustive events with $$P\left( {{H_1}} \right) > 0,i = 1,2

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The minimum of distinct real values of $$\lambda ,$$ for which the vectors $$ - {\lambda ^2}\widehat i + \widehat j + \w

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Let $$\overrightarrow a \,,\,\overrightarrow b ,\overrightarrow c $$ be unit vectors such that $${\overrightarrow a +

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Consider the following linear equations $$ax+by+cz=0;$$ $$\,\,\,$$ $$bx+cy+az=0;$$ $$\,\,\,$$ $$cx+ay+bz=0$$
Match the

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Consider the planes $$3x-6y-2z=15$$ and $$2x+y-2z=5.$$
STATEMENT-1: The parametric equations of the line of intersectio

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Let the vectors $$\overrightarrow {PQ} ,\,\,\overrightarrow {QR} ,\,\,\overrightarrow {RS} ,\,\,\overrightarrow {ST} ,\,

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## Physics

Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed
are

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