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 acidic strength is
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The correct order of radii 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 $$f\left( \theta \rig View Question If$$\arg \left( z \right) &lt; 0,$$then$$\arg \left( { - z} \right) - \arg \left( z \right) = $$View Question If$${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 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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If b &gt; a, then the equation (x - a) (x - b) - 1 = 0 has
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If $$\alpha \,and\,\beta$$ $$(\alpha \, &lt; \,\beta )$$ are the roots of the equation $${x^2} + bx + c = 0\,$$, where
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For the equation $$3{x^2} + px + 3 = 0$$. p &gt; 0, if one of the root is square of the other, then p is equal to
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For $$2 \le r \le n,\,\,\,\,\left( {\matrix{ n \cr r \cr } } \right) + 2\left( {\matrix{ n \cr {r - View Question How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd View Question Consider an infinite geometric series with first term a and common ratio$$r$$. If its sum is 4 and the second term is 3 View Question Let$$PS$$be the median of the triangle with vertices$$P(2, 2),Q(6, -1)$$and$$R(7, 3).$$The equation of the li View Question The incentre of the triangle with vertices$$\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 $${x^2}\, + \,{y^2}\, + \,\,2x\, + \,2\,k\,y\,\, + \,6\,\, = \,\,0,\,\,{x^2}\, + \,\,{y^2}\, + \,2ky\, + View Question If$$x + y = k$$is normal to$${y^2} = 12x,$$then$$k$$is View Question If the line$$x - 1 = 0$$is the directrix of the parabola$${y^2} - kx + 8 = 0,$$then one of the values of$$k$$is View Question In a triangle$$ABC$$,$$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$View Question In a triangle$$ABC$$, let$$\angle C = {\pi \over 2}$$. If$$r$$is the inradius and$$R$$is the circumradius of the View Question A pole stands vertically inside a triangular park$$\Delta ABC$$. If the angle of elevation of the top of the pole from View Question Consider the following statements in$$S$$and$$RS:\,\,\,$$Both$$\sin \,\,x$$and$$\cos \,\,x$$are decr View Question If the normal to the curve$$y = f\left( x \right)$$and the point$$(3, 4)$$makes an angle$${{{3\pi } \over 4}}$$wit View Question Let$$f\left( x \right) = \int {{e^x}\left( {x - 1} \right)\left( {x - 2} \right)dx.} $$Then$$f$$decreases in the int View Question Let$$f\left( x \right) = \left\{ {\matrix{ {\left| x \right|,} &amp; {for} &amp; {0 &lt; \left| x \right| \le 2} \c
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For all $$x \in \left( {0,1} \right)$$
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Let $$g\left( x \right) = \int\limits_0^x {f\left( t \right)dt,}$$ where f is such that $${1 \over 2} \le f\left( t \r View Question If$$f\left( x \right) = \left\{ {\matrix{ {{e^{\cos x}}\sin x,} &amp; {for\,\,\left| x \right| \le 2} \cr {2,}
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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 $$View Question Let the vectors$$\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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