# Maths

Maths

## (Tutorial) IIT-JEE Mathematics: Circle Hyperbola Common Tangent (Part 3)

### IIT-JEE Circle Hyperbola Common Tangent (Part 3)

## (Tutorial) IIT-JEE Mathematics: Circle Hyperbola Common Tangent (Part 2)

### IIT-JEE Circle Hyperbola Common Tangent (Part 2)

## (Tutorial) IIT-JEE Mathematics: Circle Hyperbola Common Tangent (Part 1)

### IIT-JEE Circle Hyperbola Common Tangent (Part 1)

## (Tutorial) IIT-JEE Mathematics: Circle Hyperbola Intersection

### IIT-JEE Circle Hyperbola Intersection

## (Tutorial) IIT-JEE Mathematics: Divisible Determinants

### IIT-JEE Divisible Determinants

## (Tutorial) IIT-JEE Mathematics: Trace and Determinant

### IIT-JEE Trace and Determinant

## (Tutorial) IIT-JEE Mathematics: Symmetric and Skew-Symmetric Matrices

### IIT JEE Symmetric and Skew-Symmetric Matrices

## (Tutorial) IIT-JEE Mathematics:Integral with Binomial Expansion

### IIT-JEE Integral with Binomial Expansion

## (Tutorial) IIT-JEE Mathematics:Differentiability and Boundedness

### IIT-JEE Differentiability and Boundedness

## (Tutorial) IIT-JEE Mathematics: Complex Numbers (part 3)

### IIT-JEE Complex Numbers (part 3)

## (Tutorial) IIT-JEE Mathematics: Complex Numbers (part 2)

### IIT-JEE Complex Numbers (part 2)

## (Download) AIEEE 2008 Solved Question Papers (Mathematics, Chemistry & Physics)

## AIEEE 2008 Solved Question Papers

**
(Mathematics, Chemistry & Physics)**

## Mathematics (Sample Question)

**1. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6·80.
Then which one of the following gives possible values of a and b?
**(1) a =1, b = 6 (2) a = 3, b = 4 (3) a = 0, b = 7 (4) a = 5, b = 2

**Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z
not all zero such that x = cy bz, y = az cx and
z = bx ay . Then a ^{2} + b^{2} + c^{2} is equal to:**

(1) 0

(2) 1

(3) 2

(4) -1

**The quadratic equations x ^{2} + 6x + a = 0 and x^{2} + cx
+ 6 = 0 have one root in common. The other roots of the first and second
equations are integers in the ratio 4:3. Then the common root is:**(1) 3

(2) 2

(3) 1

(4) 4

## Chemistry (Sample Question)

**Which one of the following is the correct statement?**

(1) Chlorides of both beryllium and aluminium have bridged chloride structures
in solid phase.

(2) B_{2}H_{6}.2NH_{3} is known as inorganic benzene.

(3) Boric acid is a protonic acid.

(4) Beryllium exhibits coordination number of six.

**Amount of oxalic acid present in a solution can be determined by its
titration with KMnO4 solution in the presence of H2SO4.
The titration gives unsatisfactory result when carried out in the presence of
HCl, because HCl
**(1) reduces permanganate to Mn

^{2+}.

(2) oxidises oxalic acid to carbon dioxide and water.

(3) gets oxidised by oxalic acid to chlorine.

(4) furnishes H

^{+}ions in addition to those from oxalic acid.

**Which of the following factors is of no significance for roasting sulphide
ores to the oxides and not subjecting the sulphide ores to carbon reduction
directly?
**(1) Metal sulphides are less stable than the corresponding oxides.

(2) CO

_{2}is more volatile than CS

_{2}

**.**

(3) Metal sulphides are thermodynamically more stable than CS

_{2}.

(4) CO

_{2}is thermodynamically more stable than CS

_{2}

**.**

## Physics (Sample Question)

**This question contains Statement-1 and Statement -2. Of the four choices
given after the statements, choose the one that best describes the two
statements.
Statement –1: **Energy is released when heavy nuclei undergo fission or light
nuclei undergo fusion. and

**Statement –2:**For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decreases with increasing Z.

(1) Statement –1 is true, Statement- 2 is true; Statement -2 is not a correct explanation for Statement-1

(2) Statement –1 is true, Statement- 2 is false

(3) Statement –1 is false, Statement- 2 is true

(4) Statement –1 is true, Statement- 2 is true; Statement -2 is a correct explanation for Statement-1

**Two full turns of the circular scale of a screw gauge cover a distance of
1 mm on its main scale. The total number of divisions on circular scale is 50.
Further, it is found that screw gauge has a zero error of – 0.03mm. While
measuring the diameter of a thin wire, a student notes the main scale reading of
3mm and the number of circular scale divisions in line with the main scale as
35. The diameter of wire is
**(1) 3.67 mm

(2) 3.38 mm

(3) 3.32 mm

(4) 3.73 mm

**An experiment is performed to find the refractive index of glass using a
travelling microscope. In this experiment distances are measured by
**(1) a meter scale provided on the microscope

(2) a screw gauge provided on the microscope

(3) a vernier scale provided on the microscope

(4) a standard laboratory scale.