IIT-JEE 1988
Paper was held on Tue, Apr 11, 1989 9:00 AM
View Questions

Chemistry

The equivalent weight of MnSO4 is half of its molecular weight, when it converts to
View Question
In which mode of expression, the concentration of a solution remains independent of temperature?
View Question
A sample of hydrazine sulphate (N2H6SO4) was dissolved in 100 ml. of water, 10 ml of this solution was reacted with exce
View Question
A sugar syrup of weight 214.2 g contains 34.2 g of sugar (C12H22O11). Calculate (i) molal concentration and (ii) mole fr
View Question
The uncertainty principle and the concept of wave nature of matter were proposed by ______ and ______ respectively. (Hei
View Question
The triad of nuclei that is isotonic is
View Question
The wavelength of a spectral line for an electronic transition is inversely related to :
View Question
The outermost electronic configuration of the most electronegative element is
View Question
The first ionisation potential of Na, Mg, Al and Si are in the order
View Question
The statements that are true for the long form of the periodic table are:
View Question
The molecule that has linear structure is
View Question
The species in which the central atom uses sp2 hybrid orbitals in its bonding is
View Question
Arrange the following : N2, O2, F2, Cl2 in increasing order of bond dissociation energy
View Question
Write down the balanced equation for the reaction when: Carbon dioxide is passed through a concentrated aqueous solution
View Question

Mathematics

The value of the expression $$\sqrt 3 \,\cos \,ec\,{20^0} - \sec \,{20^0}$$ is equal to
View Question
For any two complex numbers $${z_1},{z_2}$$ and any real number a and b. $$\,{\left| {a{z_1} - b{z_2}} \right|^2} + {\le
View Question
The cube roots of unity when represented on Argand diagram form the vertices of an equilateral triangle.
View Question
The values of $$\theta $$ lying between $$\theta = \theta $$ and $$\theta = \pi /2$$ and satisfying the equation $$\l
View Question
Solve $$\left| {{x^2} + 4x + 3} \right| + 2x + 5 = 0$$
View Question
Total number of ways in which six ' + ' and four ' - ' signs can be arranged in a line such that no two ' - ' signs occu
View Question
There are four balls of different colours and four boxes of colours, same as those of the balls. The number of ways in w
View Question
Let $$R$$ $$ = {\left( {5\sqrt 5 + 11} \right)^{2n + 1}}$$ and $$f = R - \left[ R \right],$$ where [ ] denotes the grea
View Question
The sum of the first n terms of the series $${1^2} + {2.2^2} + {3^2} + {2.4^2} + {5^2} + {2.6^2} + .........$$ is $$n\,
View Question
Sum of the first n terms of the series $${1 \over 2} + {3 \over 4} + {7 \over 8} + {{15} \over {16}} + ............$$ is
View Question
If the first and the $$(2n-1)$$st terms of an A.P., a G.P. and an H.P. are equal and their $$n$$-th terms are $$a,b$$
View Question
The lines $$2x + 3y + 19 = 0$$ and $$9x + 6y - 17 = 0$$ cut the coordinates axes in concyclic points.
View Question
If $$P=(1, 0),$$ $$Q=(-1, 0)$$ and $$R=(2, 0)$$ are three given points, then locus of the point $$S$$ satisfying the rel
View Question
Lines$${L_1} = ax + by + c = 0$$ and $${L_2} = lx + my + n = 0$$ intersect at the point $$P$$ and make an angle $$\theta
View Question
If the circle $${C_1}:{x^2} + {y^2} = 16$$ intersects another circle $${C_2}$$ of radius 5 in such a manner that common
View Question
If a circle passes through the point (a, b) and cuts the circle $${x^2}\, + \,{y^2}\, = \,{k^2}$$ orthogonally, then the
View Question
The equations of the tangents drawn from the origin to the circle $${x^2}\, + \,{y^2}\, - \,2rx\,\, - 2hy\, + {h^2} = 0$
View Question
If $${y^2} = P\left( x \right)$$, a polynomial of degree $$3$$, then $$2{d \over {dx}}\left( {{y^3}{{{d^2}y} \over {d{x^
View Question
If the angles of a triangle are $${30^ \circ }$$ and $${45^ \circ }$$ and the included side is $$\left( {\sqrt 3 + 1} \
View Question
A sign -post in the form of an isosceles triangle $$ABC$$ is mounted on a pole of height $$h$$ fixed to the ground. The
View Question
Investigate for maxima and minimum the function $$$f\left( x \right) = \int\limits_1^x {\left[ {2\left( {t - 1} \right
View Question
The integral $$\int\limits_0^{1.5} {\left[ {{x^2}} \right]dx,} $$ Where [ ] denotes the greatest integer function, equa
View Question
The value of the integral $$\int\limits_0^{2a} {[{{f\left( x \right)} \over {\left\{ {f\left( x \right) + f\left( {2a -
View Question
Find the area of the region bounded by the curve $$C:y=$$ $$\tan x,$$ tangent drawn to $$C$$ at $$x = {\pi \over 4}$$
View Question
Evaluate $$\int\limits_0^1 {\log \left[ {\sqrt {1 - x} + \sqrt {1 + x} } \right]dx} $$
View Question
Urn $$A$$ contains $$6$$ red and $$4$$ black balls and urn $$B$$ contains $$4$$ red and $$6$$ black balls. One ball is d
View Question
One hundred identical coins, each with probability, $$p,$$ of showing up heads are tossed once. If $$0 < p < 1$$ a
View Question
For two given events $$A$$ and $$B,$$ $$P\left( {A \cap B} \right)$$
View Question
A box contains $$2$$ fifty paise coins, $$5$$ twenty five paise coins and a certain fixed number $$N\,\,\left( { \ge 2}
View Question
The components of a vector $$\overrightarrow a $$ along and perpendicular to a non-zero vector $$\overrightarrow b $$ ar
View Question
Let $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c ,$$ be three non-coplanar vectors and $$\overrightarrow p
View Question
Let $$OA$$ $$CB$$ be a parallelogram with $$O$$ at the origin and $$OC$$ a diagonal. Let $$D$$ be the midpoint of $$OA.
View Question

Physics

In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y
View Question
A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15
View Question
Two bodies M and N of equal masses are suspended from two separate massless springs of spring constant k1 and k2 respect
View Question
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12