IIT JEE 2010 - Mathematics - Study Plan for 2009-10

Text Book Used as Base: Objective Mathematics for IIT JEE by R.D. Sharma, Dhanpatrai Publications


Study Plan



May 2009
11.Matrices XII (some portion)
http://iit-jee-maths.blogspot.com/2008/11/11-matrices-revision-facilitator.html

12. Determinants XII (Some portion)
http://iit-jee-maths.blogspot.com/2008/11/12-determinants-revision-facilitator.html

15 The Circle
http://iit-jee-maths.blogspot.com/2008/11/iit-jee-mathematics-study-plan-15.html

June 2009

16. Parabola

http://iit-jee-maths.blogspot.com/2008/11/iit-jee-mathematics-study-plan-16.html

17. Ellipse

http://iit-jee-maths.blogspot.com/2008/11/iit-jee-mathematics-study-plan-17.html

18. Hyperbola
http://iit-jee-maths.blogspot.com/2008/11/18-hyperbola-revision-facilitator.html

July 2009


23. Tangents, Normals and other applications of derivatives XII
http://iit-jee-maths.blogspot.com/2008/11/23-tangents-normals-and-other.html

24. Increasing and Decreasing Functions XII
http://iit-jee-maths.blogspot.com/2008/11/24-increasing-and-decreasing-functions.html

August 2009

25. Maxima and Minima XII
http://iit-jee-maths.blogspot.com/2008/11/25-maxima-and-minima-revision.html

26. Indefinite Integrals XII (Some portion)
http://iit-jee-maths.blogspot.com/2008/11/26-indefinite-integrals-revision.html

September 2009

27. Definite Integrals XII
http://iit-jee-maths.blogspot.com/2008/11/27-definite-integrals-revision.html

28. Areas of Bounded Regions XII
http://iit-jee-maths.blogspot.com/2008/11/28-areas-of-bounded-regions-revision.html

October 2009

29. Differential Equations XII
http://iit-jee-maths.blogspot.com/2008/11/29-differential-equations-revision.html

30. Vectors XII (Some portion)
http://iit-jee-maths.blogspot.com/2008/11/30-vectors-revision-facilitator.html

November 2009

31. Three Dimensional Geometry XII
http://iit-jee-maths.blogspot.com/2008/11/ch-31-three-dimensional-geometry.html

32. Probability XII
http://iit-jee-maths.blogspot.com/2008/11/ch-32-probability-revision-facilitator.html

December 2009

35 Trigonometrical Equations
http://iit-jee-maths.blogspot.com/2008/11/ch-35-trigonometrical-equations.html

38 Heights and distances XII

10. Exponential and logarithmic series


For having a look at chapters planned for study in 2008-09 visit
http://iit-jee-2010.blogspot.com/2009/04/iit-jee-2010-mathematics-chapters.html

IIT JEE 2010 - Mathematics - Chapters Studied in 2008-09

Chapters from JEE syllabus to be completed in Class XI (2008-09)

1. Complex numbers

2. Theory of equations

3. Progressions

4. Logarithms

5. Permutations and combinations

6. Binomial theorem


7. Matrices (some portion)

8. Determinants (some portion)

9. Inequalities

10. Elementary trigonometry

11. Solution of triangles and other applications of trigonometry

12. Inverse trigonometric functions

13. Straight line

14. Vectors (some portion)

15. Functions

16. Limits and continuity

17. Differentiation

18. Integration (some portion)

For original plan visit
http://iit-jee-2010.blogspot.com/2008/08/mathematics-iit-jee-2010-study-plan.html

October 22-31, 2008 Mathematics Study Plan for IIT JEE 2010

Revision
33. Elementary trigonometry

New Chapter
34. Solution of triangles and other applications of trigonometry

Study Plan

October

22

Study sections 34.1 to 34.5

Revision points

1. Semiperimeter of a triangle is denoted by s.
2. Area of a triangle is denoted by Δ or S.
3. a,b, and c represent sides BC,CA, and AB

4. Sine rule

In any Δ ABC
Sin A/a = Sin B/b = Sin C/c

5. Cosine Formulae

In any Δ ABC

Cos A = [b² + c² -a²]/2bc


Cos B = [c² +a² –b²]/2ac


Cos C = [a² + b² –c²]/2ab

6. Projection formulae

In any Δ ABC

a = b Cos C + C cos B

b= c Cos A + A Cos C

c = a Cos B + b cos A


7. Trigonometrical ratios of half of the angles of a triangle

1. Sin A/2 = √[(s-b)(s-c)/bc]

2. Cos A/2 = √[s(s-a)/bc]

3. tan A/2 = √(s-b)(s-c)/s(s-a)]

23 October

Study Sections 34.6, 34.7, 34.8, 34.9,

Revision points

8. Area of a triangle

S = ½ ab Sin C = ½ bc sina = ½ ac sin B


9. Napier’s analogy

In any triangle ABC

Tan [(b-c)/2] = [(b-c)cot (A/2)]/(b+c)

10. Circumcircle of a triangle

The circle which passes through the angular points or vertices of a triangle ABC is called its circumcircle.

The centre of this circle can be found by locating the point of intersection of perpendicular bisectors of the sides. It is called circumcentre.

The circumcentre may lie within, outside or upon one of the sides of the triangle.

In a right angled triangle the cicumcentre is vertex where right angle is formed.

The radius of circumcircle is denoted by R.

R = a/(2 Sin A) = b/(2 sin B) = c/(2 sin C)

11. Inscribed circle or incircle of a triangle

It is the circle touches each of the sides of the triangle.

The centre of the inscribed circle is the point of intersection of bisectors of the angles of the triangle.

The radius of inscribed circle is denoted by r (it is called in-radius) and it is equal to the length of the perpendicular from its centre to any of the sides of the triangle.

Various formulas that give r.

In- radius ( r )= Δ/s

r = (s-a)tan (A/2) = (s-b) tan (B/2) = (s-c) tan (C/2)

r = [a sin B/2 sin C/2/(Cos A/2)


r = 4R sin (A/2) sin (B/2) sin (C/2)


Attempt Objective Type Exercises 1 to 10


October 24th

34.10, 34.11

Revision points

12. Escribed circles of a triangle

The circle which touches the sides BC and two sides AB and AC produced of a triangle ABC is called the escribed circle opposite to the angle A. Its radius is denoted by r1.

Similarly r2 and r3 denote the radii of the escribed circles opposite to the angles B and C respectively.

The centres of the escribed circles are called the ex-centres.

13. Orthocentre and its distances from the angular points of a triangle

In a Δ ABC, the point at which perpendiculars drawn from the three vertices (heights) meet, it called the ortho centre of the ΔABC

Attempt objective type exercises 11 to 20


October 25th

Study 34.12 to 34.15

Revision points

14. Regular polygon and Radii of the inscribed and circumscribing circles of a regular polygon
the centre of the polygon will be the in-centre as well as circumcentre of the polygon.


15. Area of a cyclic quadrilateral

a quadrilateral is a cyclic quadrilateral if its vertices lie on a circle.

Area of cyclic quadrilateral = ½ (ab + cd) sin B

16. Ptolemy’s theorem

In a cyclic quadrilateral ABCD, AC.BD = AB.CD + BC.AD

The product of diagonals is equal to the sum of the products of the lengths of opposite sides.

17. Circum-radius of a cyclic quadrilateral

In a cyclic quadrilateral, the circumcircle of the quadrilateral ABCD is also the circumcircle of Δ ABC.

Attempt obj type exercises 21 to 30.


October 26th

Attempt obj type exercises 31 to 45.

October 27th

Attempt obj type exercises 46 to 60.

October 28th

Attempt obj type exercises 61 to 75.

October 29th

Attempt obj type exercises 76 to 90.

October 30th

Attempt fill in the blanks 1 to 15.

October 31st

Attempt fill in the blanks 16 to 31.


Practice Exercise at the end of the chapter has 21 problems you have to do these problems during the next 10 days as a part of the revision of earlier chapter. 2 problems a day will take care of all the 21 problems.

Problems of Ch. 33. Elementary trigonometry whihc you have not done so far, have to done as revision part during these 10 days.

IIT JEE 2010 Mathematics - Study Plan - 12 - 21 December 2008

Elementary Trigonometry

Ch. 33 from R D Sharma

Trigonometric ratios, identities, and maximum and minimum values of trigonmetric expressions

Sections

33.1 Introduction
33.2 Some basic formulae
33.3 Doman and range of trigonometrical functions
33.4 Sum and difference formulae
33.5 Sun and difference into products
33.6 product into sum and difference
33.7 T-ratios of the sum of three or more angles
33.8 Values of trigonometric ratios of some important angles and some important results
33.9 Expressions of sin A/2 and cos A/2 in terms of sin A
33.10 maximum and minimum values of trigonometrical functions



12th december

33.1 to 33.4

33.1 Introduction
33.2 Some basic formulae
33.3 Doman and range of trigonometrical functions
33.4 Sum and difference formulae

Do objective type exercises 58,

13th December

33.5 Sun and difference into products
33.6 product into sum and difference

Do objective type exercises 84,91, 92, 104, 115,

14th December

33.7 T-ratios of the sum of three or more angles

Do objective type exercises 39, 44, 106, 113, 117,

15th December

33.8 Values of trigonometric ratios of some important angles and some important results

Do objective type exercises 1,2,3,5,6,7,8,9,10,11

16th December

33.9 Expressions of sin A/2 and cos A/2 in terms of sin A

Do objective type exercises 12,13,14,15,16,17,19,20,21,22

17th December

33.10 maximum and minimum values of trigonometrical functions

4,18,23-30

18th December
31 to 45

19th December

46 - 60

20 December

61 - 75

21 December

76-90

(Total 148 are there. You can do remaining problems in the next 10 days durng the revision period).

7 October 2008 Mathematics study plan

7 October 2008 Mathematics - Determinants Study session 6
Based on the Text: Objective Mathematics by R D Sharma

Chapter 12 Determinants

Do illustrative obj type examples 11 to 20 (If any problem requires concepts not covered so far ignore it and go forward.

In the previous chapter Binomial theorem do problems

Practice exercise problems 36 to 40 (There are a total of 57 problems in this exercise)

JEE 2010 Mathematics Day Study Plan 6 October

6 October 2008 Mathematics - Determinants Study session 5
Based on the Text: Objective Mathematics by R D Sharma

Chapter 12 Determinants

Do illustrative obj type examples 1 to 10

In the previous chapter Binomial theorem do problems

Practice exercise problems 31 to 35 (There are a total of 57 problems in this exercise)


Join

IIT JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

JEE 2010 Mathematics Day Study Plan 5 October

5 October 2008 Mathematics - Determinants Study session 4
Based on the Text: Objective Mathematics by R D Sharma

Chapter 12 Determinants

Study sections

12.6 Evaluation of Determinants using Factor Theorem

2 examples

12.7 Product of determinants
5 examples


In the previous chapter Binomial theorem do problems

Practice exercise problems 26 to 30 (There are a total of 57 problems in this exercise)



Join

IIT JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

JEE 2010 Mathematics Study plan 4 October 2008

4 October 2008 Mathematics - Determinants Study session 3
Based on the Text: Objective Mathematics by R D Sharma

Chapter 12 Determinants

Study sections

12.5 Evaluation of Determinants

Do all the 19 example problems



Join

IIT JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

JEE 2010 Mathematics Day Study Plan 3 October

3 October 2008 Mathematics - Determinants Study session 2
Based on the Text: Objective Mathematics by R D Sharma

Chapter 12 Determinants

Study three sections

12.2 Singular matrix
12.3 Minors and cofactors
12.4 properties of determinants





In the previous chapter Binomial theorem do problems

Practice exercise problems 21 to 25 (There are a total of 57 problems in this exercise)



Any doubt regarding the chapters raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

JEE 2010 Mathematics Day Study Plan 2-October

2 October 2008 Mathematics New Chapter Determinants Study session 1
Based on the Text: Objective Mathematics by R D Sharma

Chapter 12 Determinants

12.1 Definitions
12.2 Singular matrix
12.3 Minors and cofactors
12.4 properties of determinants
12.5 Evaluation of determinants
12.6 Evaluation of determinants using factor theorem
12.7 Product of determinants
12.8 Differentiation of determinants
12.9 Application of determinants to coordinate geometry
12.10 Application of determinants in solving a system of linear equations


We will take up sections 12.1 to 12.7 in this year.

Study section 12.1 today. There are three examples in this section



In the previous chapter Binomial theorem do problems

Practice exercise problems 16 to 20 (There are a total of 57 problems in this exercise)



Any doubt regarding the chapters raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

JEE 2010 Mathematics Day Study Plan 1 October

1 October 2008 Mathematics Matrices Study session 10
Based on the Text: Objective Mathematics by R D Sharma

Matrices almost all the questions related to the portion covered was done. Concentrate on Binomial chapter today as still there are problems to be done in that chapter


In the previous chapter Binomial theorem do problems

Practice exercise problems 6 to 15
Do True or False Questions 1 to 7
Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

IIT JEE Mathematics Study Plan 30th September

Study Plan for JEE 2010

30 September 2008 Mathematics Matrices Study session 9
Based on the Text: Objective Mathematics by R D Sharma
Chapter 11 Matrices



Do Practice exercises problems 19, 20,21,25,27,28,30,31,32,33

In the previous chapter Binomial theorem do problems

Practice exercise problems 1 to 5
Fill in the blank type exercises 1 to 5

Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

Mathematics Plan for Study 29 September

29 September 2008 Mathematics Matrices Study session 8
Based on the Text: Objective Mathematics by R D Sharma
Chapter 11 Matrices



Do Practice exercises problems 1,3,4,6,9,10,14,15,18

In the previous chapter Binomial theorem do problems

131-135 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

Mathematics - Study Plan- 28 September 2008

28 September 2008 Mathematics Matrices Study session 7
Based on the Text: Objective Mathematics by R D Sharma
Chapter 11 Matrices



Do objective type exercises 57,58,59,60,68,74,76,77,81,82,

In the previous chapter Binomial theorem do problems

121-130 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

27 september Mathematics Session JEE 2010

27 September 2008 Mathematics Matrices Study session 6
Based on the Text: Objective Mathematics by R D Sharma


Study sections 11.10 to 11.11 (We will stop here in this chapter)
11.10 Determinants
11.11 Singular matrix


Do objective type exercises 21,22,23,32,33,35,38,39,42,44,46,

In the previous chapter Binomial theorem do problems

111-120 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

JEE Mathematics Study plan 26 September

26 September 2008 Mathematics Matrices Study session 5
Based on the Text: Objective Mathematics by R D Sharma


Study sections 11.10 to 11.11 (We will stop here in this chapter)
11.10 Determinants
11.11 Singular matrix


Do objective type exercises 6,7,17,18,19,20

In the previous chapter Binomial theorem do problems

100-110 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

25 September 2008 Mathematics Matrices Study session 4

25 September 2008 Mathematics Matrices Study session 4
Based on the Text: Objective Mathematics by R D Sharma


Study sections 11.8 to 11.9

Do objective type exercises 1 to 5
In the previous chapter Binomial theorem do problems

91-100 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

24 September 2008 Mathematics Matrices Study session 3

24 September 2008 Mathematics Matrices Study session 3
Based on the Text: Objective Mathematics by R D Sharma


Study sections 11.7 to 11.8



In the previous chapter Binomial theorem do problems

81-90 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.

http://www.orkut.co.in/Community.aspx?cmm=39291603

23 September 2008 Mathematics Matrices Study session 2

23 September 2008 Mathematics Matrices Study session 2
Based on the Text: Objective Mathematics by R D Sharma


Study sections 11.5 to 11.6



In the previous chapter Binomial theorem do problems

71-80 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603

22 September 2008 Mathematics Matrices Study session 1

22 September 2008 Mathematics Matrices Study session 1
Based on the Text: Objective Mathematics by R D Sharma


Study sections 11.1 to 11.4

11.1 Matrix
11.2 types of matrices
11.3 Equality of matrices
11.4 Algebra of matrices

In the previous chapter Binomial theorem do problems

61-70 in objective exercises


Any doubt regarding the chapter raise it in the JEE academy orkut community.


http://www.orkut.co.in/Community.aspx?cmm=39291603