IIT-JEE 2003 Screening
Paper was held on Fri, Apr 11, 2003 9:00 AM
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Chemistry

Which has maximum number of atoms?
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Mixture X = 0.02 mol of [Co(NH3)5SO4]Br and 0.02 mol of [Co(NH3)5Br]SO4 was prepared in 2 litre of solution. 1 litre of
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Which of the following are isoelectronic and isostructural? $$NO_3^-$$, $$CO_3^{2-}$$, $$ClO_3^-$$, SO3
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Mathematics

If $$\,\left| z \right| = 1$$ and $$\omega = {{z - 1} \over {z + 1}}$$ (where $$z \ne - 1$$), then $${\mathop{\rm Re} View Question If$$\,\alpha \in \left( {0,{\pi \over 2}} \right)\,\,then\,\,\sqrt {{x^2} + x} + {{{{\tan }^2}\alpha } \over {\sqrt
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Coefficient of $${t^{24}}$$ in $${\left( {1 + {t^2}} \right)^{12}}\left( {1 + {t^{12}}} \right)\left( {1 + {t^{24}}} \ri View Question The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of t View Question Orthocentre of triangle with vertices$$\left( {0,0} \right),\left( {3,4} \right)$$and$$\left( {4,0} \right)$$is View Question The centre of circle inscibed in square formed by the lines$${x^2} - 8x + 12 = 0\,\,and\,{y^2} - 14y + 45 = 0$$, is View Question The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse$${{{x^2}} \over 9
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For hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$ which of the following
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The focal chord to $${y^2} = 16x$$ is tangent to $${\left( {x - 6} \right)^2} + {y^2} = 2,$$ then the possible values of
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If the angles of a triangle are in the ratio $$4:1:1$$, then the ratio of the longest side to the perimeter is
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In $$\left[ {0,1} \right]$$ Languages Mean Value theorem is NOT applicable to
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Tangent is drawn to ellipse $${{{x^2}} \over {27}} + {y^2} = 1\,\,\,at\,\left( {3\sqrt 3 \cos \theta ,\sin \theta } \ri View Question If$$l\left( {m,n} \right) = \int\limits_0^1 {{t^m}{{\left( {1 + t} \right)}^n}dt,} $$then the expression for$$l(m, n)
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The area bounded by the curves $$y = \sqrt x ,2y + 3 = x$$ and $$x$$-axis in the 1st quadrant is
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If $$f\left( x \right) = \int\limits_{{x^2}}^{{x^2} + 1} {{e^{ - {t^2}}}} dt,$$ then $$f(x)$$ increases in
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If $$y(t)$$ is a solution of $$\left( {1 + t} \right){{dy} \over {dt}} - ty = 1$$ and $$y\left( 0 \right) = - 1,$$ then
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Two numbers are selected randomly from the set $$S = \left\{ {1,2,3,4,5,6} \right\}$$ without replacement one by one. Th
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If $$P\left( B \right) = {3 \over 4},P\left( {A \cap B \cap \overline C } \right) = {1 \over 3}$$ and $$P\left( {\overl View Question The value of$$k$$such that$${{x - 4} \over 1} = {{y - 2} \over 1} = {{z - k} \over 2}$$lies in the plane$$2x -4y +z
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The value of $$'a'$$ so that the volume of parallelopiped formed by \widehat i + a\widehat j + \widehat k,\widehat j +
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Physics

A cube has a side of length 1.2 ✕ 10-2 m. Calculate its volume.
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If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respect
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