The document outlines the syllabus for the JEE (Main) - 2014 exam which includes 16 units covering topics in mathematics such as sets, complex numbers, matrices, permutations, combinations, binomial theorem, calculus, differential equations, coordinate geometry, vectors, statistics, probability, and trigonometry. It also includes two practice problems, one asking for the distance between a pair of lines given by a quadratic equation, and another asking for the sum of the roots of a given polynomial equation.

1. ‘JEE’ (Main) - 2014

3. Unit 1 : Sets, Relations And Functions
Unit 2 : Complex Numbers And
Quadratic Equations

4. Unit 3 : Matrices And Determinants
Unit 4 : Permutations And
Combinations

5. Unit 5 : Mathematical Induction
Unit 6 : Binomial Theorem And Its
Simple Applications

6. Unit 7 : Sequences And Series
Unit 8 : Limit, Continuity And
Differentiability
Unit 9 : Integral Calculus

7. Unit 10 : Differential Equations
Unit 11 : Co-Ordinate Geometry
Unit 12 : Three Dimensional Geometry

8. Unit 13 : Vectors Algebra
Unit 14 : Statistics and Probability

9. Unit 15 : Trigonometry
Unit 16 : Mathematical Reasoning

12. 2. Distance between the pair of lines
represented by the equation
x2 – 6xy +9y2 +3x – 9y – 4 = 0

13. )(
2
2
baa
acg
2
3
,4,9,1 gcba
2
5
10
4
25
2
)91(1
)4(
4
9
2
Sol :
The distance between the pair of straight lines given by
ax2 + 2hxy + by2 + 2gx + 2fy + c = 0is
Here

14. 3. Sum of the roots of the equation
4x – 3 (2x+3) + 128 = 0 is

20. Thank You…