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IIT-JEE 2001

Exam Held on Wed Apr 11 2001 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Hydrogen peroxide solution (20 ml) reacts quantitatively with a solution of KMnO...
The standard potential of the following cell is 0.23V at 15<sup>o</sup>C and 0.2...
The rate of a first order reaction is 0.04 mol litre<sup>-1</sup> s<sup>-1</sup>...
The vapour pressure of the two miscible liquids (A) and (B) are 300 and 500 mm o...

Mathematics

Let $$a,\,b,\,c$$ be real numbers with $$a \ne 0$$ and let $$\alpha ,\,\beta $$ ...
Let $${a_1}$$, $${a_2}$$,.....,$${a_n}$$ be positive real numbers in geometric p...
Let $$a, b, c$$ be real numbers with $${a^2} + {b^2} + {c^2} = 1.$$ Show that <...
Let $$C_1$$ and $$C_2$$ be two circles with $$C_2$$ lying inside $$C_1$$. A circ...
Let $$\,2{x^2}\, + \,{y^2} - \,3xy = 0$$ be the equation of a pair of tangents d...
Let $$P$$ be a point on the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {...
If $$\Delta $$ is the area of a triangle with side lengths $$a, b, c, $$ then sh...
Let $$ - 1 \le p \le 1$$. Show that the equation $$4{x^3} - 3x - p = 0$$ <br>ha...
Evaluate $$\int {{{\sin }^{ - 1}}\left( {{{2x + 2} \over {\sqrt {4{x^2} + 8x + 1...
Let $$b \ne 0$$ and for $$j=0, 1, 2, ..., n,$$ let $${S_j}$$ be the area of <b...
A hemispherical tank of radius $$2$$ metres is initially full of water and has a...
An urn contains $$m$$ white and $$n$$ black balls. A ball is drawn at random and...
An unbiased die, with faces numbered $$1,2,3,4,5,6,$$ is thrown $$n$$ times and ...
Show, by vector methods, that the angular bisectors of a triangle are concurrent...
Find $$3-$$dimensional vectors $${\overrightarrow v _1},{\overrightarrow v _2},...
Let $$\overrightarrow A \left( t \right) = {f_1}\left( t \right)\widehat i + {f_...

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