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## IIT-JEE 2000 Screening

Exam Held on Tue Apr 11 2000 09:00:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

Amongst the following identify the species with an atom in +6 oxidation state
The number of nodal planes in a p<sub>x</sub> orbital is
The electronic configuration of an element is 1s<sup>2</sup>, 2s<sup>2</sup> 2p<...
The correct order of radii is
The correct order of acidic strength is
Amongst H<sub>2</sub>O, H<sub>2</sub>S, H<sub>2</sub>Se and H<sub>2</sub>Te, the...
Read the following statement and explanation and answer as per the options given...
Molecular shape of SF<sub>4</sub>, CF<sub>4</sub> and XeF<sub>4</sub> are
The hybridisation of atomic orbitals of nitrogen in $$NO_2^+$$, $$NO_3^-$$ and $... ## Mathematics Let $$f\left( \theta \right) = \sin \theta \left( {\sin \theta + \sin 3\theta ... If$${z_1},\,{z_2}$$and$${z_3}$$are complex numbers such that$$\left| {{z_1}... If $$\arg \left( z \right) &lt; 0,$$ then $$\arg \left( { - z} \right) - \arg \l... If b &gt; a, then the equation (x - a) (x - b) - 1 = 0 has If a, b, c, d are positive real numbers such that a + b + c + d = 2, then M = (a... For the equation$$3{x^2} + px + 3 = 0$$. p &gt; 0, if one of the root is square... If$$\alpha \,and\,\beta (\alpha \, &lt; \,\beta )$$are the roots of the e... For$$2 \le r \le n,\,\,\,\,\left( {\matrix{ n \cr r \cr } } \right)... How many different nine digit numbers can be formed from the number 223355888 by... Consider an infinite geometric series with first term a and common ratio $$r$$. ... Let $$PS$$ be the median of the triangle with vertices $$P(2, 2),$$ $$Q(6, -1)$$... The incentre of the triangle with vertices $$\left( {1,\,\sqrt 3 } \right),\left... The triangle PQR is inscribed in the circle$${x^2}\, + \,\,{y^2} = \,25$$. If ... If the circles$${x^2}\, + \,{y^2}\, + \,\,2x\, + \,2\,k\,y\,\, + \,6\,\, = \,\,... If $$x + y = k$$ is normal to $${y^2} = 12x,$$ then $$k$$ is If the line $$x - 1 = 0$$ is the directrix of the parabola $${y^2} - kx + 8 = 0,... In a triangle$$ABC$$,$$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$In a triangle$$ABC$$, let$$\angle C = {\pi \over 2}$$. If$$r$$is the inradi... A pole stands vertically inside a triangular park$$\Delta ABC$$. If the angle o... Consider the following statements in$$S$$and$$R$$<br>$$S:\,\,\,$$Bot... Let$$f\left( x \right) = \int {{e^x}\left( {x - 1} \right)\left( {x - 2} \right... If the normal to the curve $$y = f\left( x \right)$$ and the point $$(3, 4)$$ ma... For all $$x \in \left( {0,1} \right)$$ Let $$f\left( x \right) = \left\{ {\matrix{ {\left| x \right|,} &amp; {for} &... If$$f\left( x \right) = \left\{ {\matrix{ {{e^{\cos x}}\sin x,} &amp; {for\,... Let $$g\left( x \right) = \int\limits_0^x {f\left( t \right)dt,}$$ where f is s... The value of the integral $$\int\limits_{{e^{ - 1}}}^{{e^2}} {\left| {{{{{\log }... If$${x^2} + {y^2} = 1,$$then If the vectors$$\overrightarrow a ,\overrightarrow b $$and$$\overrightarrow c... Let the vectors $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c$$ and... If $$\overrightarrow a \,,\,\overrightarrow b$$ and $$\overrightarrow c$$ are ... ## Physics The dimension of $$\left( {{1 \over 2}} \right){\varepsilon _0}{E^2}$$ <br>( $${... A wind-powered generator converts wind energy into electrical energy. Assume tha... The period of oscillation of a simple pendulum of length$$L$\$ suspended from th...

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