## Friday, November 7, 2008

### IT JEE Mathematics Study Guide 7. Quadratic Equations and Expressions - Revision Facilitator

R.D. Sharma Objective Mathematics

7.1 Some definitions and results
7.2 Some results on roots of an equation
7.3 Position of roots of a polynomial equation
7.4 Descartes rule of signs
7.5 Relations between roots and coefficients
7.6 Formation of a polynomial equation from given roots.
7.7 Transformation of equations
7.8 Roots of a quadratic equation with real coefficients
7.9 Quadratic expression and its graph
7.10 Sign of a quadratic expression for real values of the variable
7.11 Solution of inequations
7.12 Position of roots of a quadratic equation
7.13 Common roots
7.14 Values of a rational expression P(x)/Q(x) for real values of x, where P(x) and Q(x) are quadratic expressions
7.15 Condition for resolution into linear factors of a quadratic function
7.16 Algebraic interpretation of Rolle’s theorem

Study Plan

Always circle difficult concepts or difficult problems. You need to revise them later on more intensively and make them easy (Any difficult issue becomes easy as you understand the concept and related concepts better.)

Day 1

7.1 Some definitions and results
7.2 Some results on roots of an equation
7.3 Position of roots of a polynomial equation
Ex. 1
7.4 Descartes rule of signs
Ex. 1 to 3

Day 2

7.5 Relations between roots and coefficients
Ex. 1 to 3
7.6 Formation of a polynomial equation from given roots.
7.7 Transformation of equations
Ex. 1 to 4

Day 3

7.8 Roots of a quadratic equation with real coefficients

7.9 Quadratic expression and its graph
7.10 Sign of a quadratic expression for real values of the variable

Day 4

7.11 Solution of inequations
Ex. 1,2 and Ex 1,2

7.12 Position of roots of a quadratic equation
EX. 1 to 4

Day 5

7.13 Common roots
Ex. 1 to 3

Day 6
7.14 Values of a rational expression P(x)/Q(x) for real values of x, where P(x) and Q(x) are quadratic expressions
Ex. 1 to 3

7.15 Condition for resolution into linear factors of a quadratic function
Ex. 1 ro 2

Day 7

7.16 Algebraic interpretation of Rolle’s theorem
Ex. 1,2
Illustrative Objective Type Questions: 1 to 10

Day 8
I.O.T.Q.: 11 to 30

Day 9
I.O.T.Q.: 31 to 50

Day 10.
I.O.T.Q.: 51 to 64

Day 11
Objective Type Questions: 1 to 20

Day 12
O.T.P.: 21 to 60 odd numbered questions
(Persons who can do more problems can do more problems)

Day 13
O.T.P.: 61 to 100 even numbered questions
(Persons who can do more problems can do more problems)

Day 14
O.T.P.: 101 to 140 odd numbered questions
(Persons who can do more problems can do more problems)

Day 15
O.T.P.:141 to 184 even numbered questions
(Persons who can do more problems can do more problems)

Revision Period

Day 16
Fill in the blanks exercises: 1 to 20

Day 17
True or false exercises: 1 to 13

Day 18
Practice Exercises: 1 to 10

Day 19
Practice Exercises:11 to 20

Day 20
Practice Exercises: 21 to 30

Day 21
Practice Exercises: 31 to 40

Day 22
Practice Exercises: 41 to 50

Day 23
Practice Exercises: 51 to 60

Day 24
Practice Exercises: 61 to 63

Day 25
Revision of concepts of the chapter

Day 26
O.T.P.: 21 to 60 even numbered questions

Day 27
O.T.P.: 61 to 100 odd numbered questions

Day 28
O.T.P.: 101 to 140 even numbered questions

Day 29
O.T.P.:141 to 184 odd numbered questions

Day 30
Revision of some difficult problems