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IIT-JEE 1988

Exam Held on Tue Apr 11 1989 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The equivalent weight of MnSO<sub>4</sub> is half of its molecular weight, when ...
In which mode of expression, the concentration of a solution remains independent...
A sample of hydrazine sulphate (N<sub>2</sub>H<sub>6</sub>SO<sub>4</sub>) was di...
A sugar syrup of weight 214.2 g contains 34.2 g of sugar (C<sub>2</sub>H<sub>22<...
The uncertainty principle and the concept of wave nature of matter were proposed...
The triad of nuclei that is isotonic is
The wavelength of a spectral line for an electronic transition is inversely rela...
The outermost electronic configuration of the most electronegative element is
The first ionisation potential of Na, Mg, Al and Si are in the order
The statements that are true for the long form of the periodic table are:
The molecule that has linear structure is
The species in which the central atom uses sp<sup>2</sup> hybrid orbitals in its...
Arrange the following :<br><br> N<sub>2</sub>, O<sub>2</sub>, F<sub>2</sub>, Cl<...
Write down the balanced equation for the reaction when:<br> Carbon dioxide is pa...

Mathematics

The value of the expression $$\sqrt 3 \,\cos \,ec\,{20^0} - \sec \,{20^0}$$ is e...
For any two complex numbers $${z_1},{z_2}$$ and any real number a and b. <p>$$\,...
The cube roots of unity when represented on Argand diagram form the vertices of ...
The values of $$\theta $$ lying between $$\theta = \theta $$ and $$\theta = \p...
Solve $$\left| {{x^2} + 4x + 3} \right| + 2x + 5 = 0$$
Total number of ways in which six ' + ' and four ' - ' signs can be arranged in ...
There are four balls of different colours and four boxes of colours, same as tho...
Let $$R$$ $$ = {\left( {5\sqrt 5 + 11} \right)^{2n + 1}}$$ and $$f = R - \left[...
The sum of the first n terms of the series $${1^2} + {2.2^2} + {3^2} + {2.4^2} +...
Sum of the first n terms of the series $${1 \over 2} + {3 \over 4} + {7 \over 8}...
If the first and the $$(2n-1)$$st terms of an A.P., a G.P. and an H.P. are equa...
The lines $$2x + 3y + 19 = 0$$ and $$9x + 6y - 17 = 0$$ cut the coordinates axes...
If $$P=(1, 0),$$ $$Q=(-1, 0)$$ and $$R=(2, 0)$$ are three given points, then loc...
Lines$${L_1} = ax + by + c = 0$$ and $${L_2} = lx + my + n = 0$$ intersect at th...
If the circle $${C_1}:{x^2} + {y^2} = 16$$ intersects another circle $${C_2}$$ o...
If a circle passes through the point (a, b) and cuts the circle $${x^2}\, + \,{y...
The equations of the tangents drawn from the origin to the circle $${x^2}\, + \,...
If $${y^2} = P\left( x \right)$$, a polynomial of degree $$3$$, then $$2{d \over...
If the angles of a triangle are $${30^ \circ }$$ and $${45^ \circ }$$ and the in...
A sign -post in the form of an isosceles triangle $$ABC$$ is mounted on a pole o...
Investigate for maxima and minimum the function $$$f\left( x \right) = \int\li...
The integral $$\int\limits_0^{1.5} {\left[ {{x^2}} \right]dx,} $$ <p>Where [ ] ...
The value of the integral $$\int\limits_0^{2a} {[{{f\left( x \right)} \over {\le...
Find the area of the region bounded by the curve $$C:y=$$ <br>$$\tan x,$$ tange...
Evaluate $$\int\limits_0^1 {\log \left[ {\sqrt {1 - x} + \sqrt {1 + x} } \right...
Urn $$A$$ contains $$6$$ red and $$4$$ black balls and urn $$B$$ contains $$4$$ ...
One hundred identical coins, each with probability, $$p,$$ of showing up heads a...
For two given events $$A$$ and $$B,$$ $$P\left( {A \cap B} \right)$$
A box contains $$2$$ fifty paise coins, $$5$$ twenty five paise coins and a cert...
The components of a vector $$\overrightarrow a $$ along and perpendicular to a n...
Let $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c ,$$ be three non-c...
Let $$OA$$ $$CB$$ be a parallelogram with $$O$$ at the origin and $$OC$$ a diag...

Physics

In the formula X = 3YZ<sup>2</sup>, X and Z have dimensions of capacitance and m...
A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km...
Two bodies M and N of equal masses are suspended from two separate massless spri...

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