IIT-JEE 1995
Paper was held on Tue, Apr 11, 1995 9:00 AM
View Questions

## Chemistry

Iodine molecule dissociates into atoms after absorbing light of 4500 Å. If one quantum of radiation is absorbed by each
View Question
A 5.0 cm3 solution of H2O2 liberates 0.508 g of iodine from an acidified KI solution. Calculate the strength of H2O2 sol
View Question
An excess of liquid mercury is added to an acidified solution of 1.0 $$\times$$ 10-3 M Fe3+. It is found that 5% of Fe3+
View Question
At 380oC, the half-life period for the first order decomposition of H2O2 is 360 min. Calculate the time required for 75%
View Question

## Mathematics

The minimum value of the expression $$\sin \,\alpha + \sin \,\beta \, + \sin \,\gamma ,\,$$ where $$\alpha ,\,\beta ,\ View Question If$$i{z^3} + {z^2} - z + i = 0$$, then show that$$\left| z \right| = 1$$. View Question If$$\left| {Z - W} \right| \le 1,\left| W \right| \le 1$$, show that$${\left| {Z - W} \right|^2} \le {(\left| Z \right
View Question
Find the smallest positive number $$p$$ for which the equation $$\cos \left( {p\,\sin x} \right) = \sin \left( {p\cos x} View Question Let$$a,\,b,\,c$$be real. If$$a{x^2} + bx + c = 0$$has two real roots$$\alpha $$and$$\beta ,$$where$$\alpha &lt
View Question
The orthocentre of the triangle formed by the lines $$xy=0$$ and $$x+y=1$$ is
View Question
Show that the locus of a point that divides a chord of slope $$2$$ of the parabola $${y^2} = 4x$$ internally in the rati
View Question
Let '$$d$$' be the perpendicular distance from the centre of the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^ View Question Let$$(h, k)$$be a fixed point, where$$h &gt; 0,k &gt; 0.$$. A straight line passing through this point cuts the possi View Question Let$${I_m} = \int\limits_0^\pi {{{1 - \cos mx} \over {1 - \cos x}}} dx.$$Use mathematical induction to prove that$${
View Question
Evaluate the definite integral : $$\int\limits_{ - 1/\sqrt 3 }^{1/\sqrt 3 } {\left( {{{{x^4}} \over {1 - {x^4}}}} \righ View Question Consider a square with vertices at$$(1,1), (-1,1), (-1,-1)$$and$$(1, -1)$$. Let$$S$$be the region consisting of all View Question Let$$y=f(x)$$be a curve passing through$$(1,1) such that the triangle formed by the coordinate axes and the tangent
View Question
EXAM MAP
Joint Entrance Examination