IIT-JEE 2000 Screening
Paper was held on Tue, Apr 11, 2000 9:00 AM
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Chemistry

Amongst the following identify the species with an atom in +6 oxidation state
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The number of nodal planes in a px orbital is
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The electronic configuration of an element is 1s2, 2s2 2p6, 3s2 3p6 3d5, 4s1 This represents its
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The correct order of radii is
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The correct order of acidic strength is
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Amongst H2O, H2S, H2Se and H2Te, the one with the highest boiling point is
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Read the following statement and explanation and answer as per the options given below ASSERTION : The first ionization
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Molecular shape of SF4, CF4 and XeF4 are
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The hybridisation of atomic orbitals of nitrogen in $$NO_2^+$$, $$NO_3^-$$ and $$NH_4^+$$ are
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Mathematics

Let $$f\left( \theta \right) = \sin \theta \left( {\sin \theta + \sin 3\theta } \right)$$. Then $$f\left( \theta \rig
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If $${z_1},\,{z_2}$$ and $${z_3}$$ are complex numbers such that $$\left| {{z_1}} \right| = \left| {{z_2}} \right| = \le
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If $$\arg \left( z \right) < 0,$$ then $$\arg \left( { - z} \right) - \arg \left( z \right) = $$
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If b > a, then the equation (x - a) (x - b) - 1 = 0 has
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If a, b, c, d are positive real numbers such that a + b + c + d = 2, then M = (a + b) (c + d) satisfies the relation
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For the equation $$3{x^2} + px + 3 = 0$$. p > 0, if one of the root is square of the other, then p is equal to
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If $$\alpha \,and\,\beta $$ $$(\alpha \, < \,\beta )$$ are the roots of the equation $${x^2} + bx + c = 0\,$$, where
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For $$2 \le r \le n,\,\,\,\,\left( {\matrix{ n \cr r \cr } } \right) + 2\left( {\matrix{ n \cr {r -
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How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd
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Consider an infinite geometric series with first term a and common ratio $$r$$. If its sum is 4 and the second term is 3
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Let $$PS$$ be the median of the triangle with vertices $$P(2, 2),$$ $$Q(6, -1)$$ and $$R(7, 3).$$ The equation of the li
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The incentre of the triangle with vertices $$\left( {1,\,\sqrt 3 } \right),\left( {0,\,0} \right)$$ and $$\left( {2,\,0}
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The triangle PQR is inscribed in the circle $${x^2}\, + \,\,{y^2} = \,25$$. If Q and R have co-ordinates (3, 4) and ( -
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If the circles $${x^2}\, + \,{y^2}\, + \,\,2x\, + \,2\,k\,y\,\, + \,6\,\, = \,\,0,\,\,{x^2}\, + \,\,{y^2}\, + \,2ky\, +
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If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is
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If the line $$x - 1 = 0$$ is the directrix of the parabola $${y^2} - kx + 8 = 0,$$ then one of the values of $$k$$ is
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In a triangle $$ABC$$, $$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$
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In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradius and $$R$$ is the circumradius of the
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A pole stands vertically inside a triangular park $$\Delta ABC$$. If the angle of elevation of the top of the pole from
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Consider the following statements in $$S$$ and $$R$$ $$S:$$ $$\,\,\,$$$ Both $$\sin \,\,x$$ and $$\cos \,\,x$$ are decr
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Let $$f\left( x \right) = \int {{e^x}\left( {x - 1} \right)\left( {x - 2} \right)dx.} $$ Then $$f$$ decreases in the int
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If the normal to the curve $$y = f\left( x \right)$$ and the point $$(3, 4)$$ makes an angle $${{{3\pi } \over 4}}$$ wit
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For all $$x \in \left( {0,1} \right)$$
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Let $$f\left( x \right) = \left\{ {\matrix{ {\left| x \right|,} & {for} & {0 < \left| x \right| \le 2} \c
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If $$f\left( x \right) = \left\{ {\matrix{ {{e^{\cos x}}\sin x,} & {for\,\,\left| x \right| \le 2} \cr {2,}
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Let $$g\left( x \right) = \int\limits_0^x {f\left( t \right)dt,} $$ where f is such that $${1 \over 2} \le f\left( t \r
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The value of the integral $$\int\limits_{{e^{ - 1}}}^{{e^2}} {\left| {{{{{\log }_e}x} \over x}} \right|dx} $$ is :
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If $${x^2} + {y^2} = 1,$$ then
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If the vectors $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ form the sides $$BC,$$ $$CA$$ and $$
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Let the vectors $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$ and $$\overrightarrow d $$ be such that $$
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If $$\overrightarrow a \,,\,\overrightarrow b $$ and $$\overrightarrow c $$ are unit coplanar vectors, then the scalar t
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Physics

The dimension of $$\left( {{1 \over 2}} \right){\varepsilon _0}{E^2}$$ ( $${\varepsilon _0}$$ : permittivity of free spa
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A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fractio
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The period of oscillation of a simple pendulum of length $$L$$ suspended from the roof of a vehicle which moves without
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