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

Chemistry

Calculate the energy required to excite one litre of hydrogen gas at 1 atm and 298 K to the first excited state of atomi
View Question
Write down the M.O. electron distribution of O2. Specify its bond order and magnetic property.
View Question
To 500 cm3 of water, 3.0 $$\times$$ 10-3 kg of acetic acid is added. If 23% of acetic acid is dissociated, what will be
View Question
Copper sulphate solution (250 mL) was electrolysed using platinum anode and a copper cathode. A constant current of 2mA
View Question
The following electrochemical cell has been set up. Pt(1) | Fe3+, Fe2+ (a = 1) | Ce4+, Ce3+ (a=1) | Pt(2) Eo (Fe3+, Fe2+
View Question
A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of a catalyst at t
View Question

Mathematics

In any triangle $$ABC,$$ prove that $$$\cot {A \over 2} + \cot {B \over 2} + \cot {C \over 2} = \cot {A \over 2}\cot {B
View Question
If $$\alpha ,\,\beta $$ are the roots of $$a{x^2} + bx + c = 0$$, $$\,\left( {a \ne 0} \right)$$ and $$\alpha + \delta
View Question
For any positive integer $$m$$, $$n$$ (with $$n \ge m$$), let $$\left( {\matrix{ n \cr m \cr } } \right) = {
View Question
For every possitive integer $$n$$, prove that $$\sqrt {\left( {4n + 1} \right)} < \sqrt n + \sqrt {n + 1} < \s
View Question
Let $$a,\,b,\,c$$ be possitive real numbers such that $${b^2} - 4ac > 0$$ and let $${\alpha _1} = c.$$ Prove by induc
View Question
A coin probability $$p$$ of showing head when tossed. It is tossed $$n$$ times. Let $${p_n}$$ denote the probability tha
View Question
The fourth power of the common difference of an arithmatic progression with integer entries is added to the product of a
View Question
For points $$P\,\,\, = \left( {{x_1},\,{y_1}} \right)$$ and $$Q\,\,\, = \left( {{x_2},\,{y_2}} \right)$$ of the co-ordin
View Question
Let $$ABC$$ and $$PQR$$ be any two triangles in the same plane. Assume that the prependiculars from the points $$A, B, C
View Question
Let $$ABC$$ be an equilateral triangle inscribed in the circle $${x^2} + {y^2} = {a^2}$$. Suppose perpendiculars from $$
View Question
Let $${C_1}$$ and $${C_2}$$ be respectively, the parabolas $${x^2} = y - 1$$ and $${y^2} = x - 1$$. Let $$P$$ be any poi
View Question
If $${x^2} + {y^2} = 1$$ then
View Question
Let $$ABC$$ be a triangle with incentre $$I$$ and inradius $$r$$. Let $$D,E,F$$ be the feet of the perpendiculars from $
View Question
Suppose $$p\left( x \right) = {a_0} + {a_1}x + {a_2}{x^2} + .......... + {a_n}{x^n}.$$ If $$\left| {p\left( x \right)}
View Question
For $$x>0,$$ let $$f\left( x \right) = \int\limits_e^x {{{\ln t} \over {1 + t}}dt.} $$ Find the function $$f\left( x
View Question
A coin has probability $$p$$ of showing head when tossed. It is tossed $$n$$ times. Let $${p_n}$$ denote the probability
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12