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## IIT-JEE 1995

Exam Held on Tue Apr 11 1995 09:00:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

Iodine molecule dissociates into atoms after absorbing light of 4500 Å. If one q...
A 5.0 cm<sup>3</sup> solution of H<sub>2</sub>O<sub>2</sub> liberates 0.508 g of...
An excess of liquid mercury is added to an acidified solution of 1.0 $$\times$$ ...
At 380<sup>o</sup>C<sup></sup>, the half-life period for the first order decompo...

## Mathematics

The minimum value of the expression $$\sin \,\alpha + \sin \,\beta \, + \sin \,... If$$i{z^3} + {z^2} - z + i = 0$$, then show that$$\left| z \right| = 1$$. If$$\left| {Z - W} \right| \le 1,\left| W \right| \le 1$$, show that$${\left| ...
Find the smallest positive number $$p$$ for which the equation $$\cos \left( {p\... Let$$a,\,b,\,c$$be real. If$$a{x^2} + bx + c = 0$$has two real roots$$\alph...
The orthocentre of the triangle formed by the lines $$xy=0$$ and $$x+y=1$$ is
Show that the locus of a point that divides a chord of slope $$2$$ of the parabo...
Let '$$d$$' be the perpendicular distance from the centre of the ellipse $${{{x^... Let$$(h, k)$$be a fixed point, where$$h &gt; 0,k &gt; 0.$$. A straight line p... Let$${I_m} = \int\limits_0^\pi {{{1 - \cos mx} \over {1 - \cos x}}} dx.$$Use ... Evaluate the definite integral :$$\$\int\limits_{ - 1/\sqrt 3 }^{1/\sqrt 3 } {\l...
Consider a square with vertices at $$(1,1), (-1,1), (-1,-1)$$ and $$(1, -1)$$. L...
Let $$y=f(x)$$ be a curve passing through $$(1,1)$$ such that the triangle forme...

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