IIT-JEE 2007
Paper was held on Wed, Apr 11, 2007 9:00 AM
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## 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 $$\,2{\sin ^2}\theta - \cos 2\theta = 0$$$$$2co{s^2}\theta - 3\si View Question Let$$\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) &gt; 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} ,\,
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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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