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## IIT-JEE 1987

Exam Held on Sat Apr 11 1987 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## Chemistry

The brown ring complex compound is formulated as [Fe(H<sub>2</sub>O)<sub>5</sub>...
<b>(i)</b> What is the weight of sodium bromate and molarity pf solution necessa...
In group IA, of alkali metals, the ionisation potential decreases on moving down...
The first ionisation potential in electron volts of nitrogen and oxygen atoms ar...
Atomic radii of fluorine and neon in Angstrom units are respectively given by
The electronegativity of the following elements increases in the order
sp<sup>2</sup> hybrid orbitals have equal s and p character.
In benzene, carbon uses all the three p-orbitals for hybridisation.
Hydrogen bond is maximum in
The value of PV for 5.6 litres of an ideal gas is ________ RT, at NTP.
A spherical balloon of 21 cm diameter is to be filled up with hydrogen at N.T.P ...
Sodium when burnt in excess of oxygen gives sodium oxide.
The metallic lustre exhibited by sodium is explained by
Give reasons of the following:<br> Magnesium oxide is used for the lining of ste...
Give reasons of the following:<br> Why is sodium chloride added during electroly...

## Mathematics

The solution set of the system of equations $$X + Y = {{2\pi } \over 3},$$ $$cox... The sides of a triangle inscribed in a given circle subtend angles$$\alpha $$, ... The set of all$$x$$in the interval$$\left[ {0,\,\pi } \right]$$for which$$...
If the expression $${{\left[ {\sin \left( {{x \over 2}} \right) + \cos {x \over... If$${{{z_1}}}$$and$${{{z_2}}}$$are two nonzero complex numbers such that$$\...
The value of $$\sum\limits_{k = 1}^6 {(\sin {{2\pi k} \over 7}} - i\,\cos \,{{2... The number of all possible triplets$$\left( {{a_1},\,{a_2},\,{a_3}} \right)$$s... If$$a,\,b,\,c,\,d$$and p are distinct real numbers such that$$$\left( {{a^2}... Find the set of all $$x$$ for which $${{2x} \over {\left( {2{x^2} + 5x + 2} \rig... Prove by mathematical induction that$$ - 5 - {{\left( {2n} \right)!} \over {{2^... Solve for x the following equation: <p> $${\log _{(2x + 3)}}(6{x^2} + 23x + 21) ... The area of the triangle formed by the tangents from the point (4, 3) to the cir... The circle$${x^2}\, + \,{y^2} - \,4x\, - 4y + \,4 = 0$$is inscribed in a trian... Let a given line$$L_1$$intersects the x and y axes at P and Q, respectively. L... A polygon of nine sides, each of length$$2$$, is inscribed in a circle. The rad... In a triangle, the lengths of the two larger sides are$$10$$and$$9$$, respect... The set of all$$x$$for which$$in\left( {1 + x} \right) \le x$$is equal to ..... The smallest positive root of the equation,$$\tan x - x = 0$$lies in Let$$f$$and$$g$$be increasing and decreasing functions, respectively from$$... Find the point on the curve $$\,\,\,4{x^2} + {a^2}{y^2} = 4{a^2},\,\,\,4 &lt; {a... Evaluate :$$\,\,\int {\left[ {{{{{\left( {\cos 2x} \right)}^{1/2}}} \over {\sin ... $$f\left( x \right) = \left| {\matrix{ {\sec x} &amp; {\cos x} &amp; {{{\sec ... Find the area bounded by the curves,$${x^2} + {y^2} = 25,\,4y = \left| {4 - {x^... A man takes a step forward with probability $$0.4$$ and backwards with probabili... If the vectors $$a\widehat i + \widehat j + \widehat k,\,\,\widehat i + b\wideha... Let$$b = 4\widehat i + 3\widehat j$$and$$\overrightarrow c $$be two vectors ... The number of vectors of unit length perpendicular to vectors$$\overrightarrow ... If $$A, B, C, D$$ are any four points in space, prove that - <br>$\$\left| {\ove...

## Physics

A particle is acted upon by a force of constant magnitude which is always perpen...

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